The MathNet Korea
Information Center for Mathematical Science

국내수학자

Information Center for Mathematical Science

국외수학자

Bruce C. Berndt
이름 Bruce C. Berndt 영어이름 Bruce C. Berndt
이메일 mailberndt@math.uiuc.edu 소속기관 University of Illinois
home Generalised Dirichlet series and Hecke's functional equation. Proc. Edinburgh Math. Soc. (2) (1966/1967), Vol 15, Pages 309-313
home An identity for certain Dirichlet series. Glasgow Math. J. (1968), Vol 9, Pages 79-82
home Arithmetical identities and Hecke's functional equation. Proc. Edinburgh Math. Soc. (2) (1968/1969), Vol 16, Pages 221-226
home Identities involving the coefficients of a class of Dirichlet series. I, II. Trans. Amer. Math. Soc. (1969), Vol 137, Pages 345-359
home On the zeros of the Riemann zeta-function. Proc. Amer. Math. Soc. (1969), Vol 22, Pages 183-188
home A note on the number of integral ideals of bounded norm in a quadratic number field. Bull. Amer. Math. Soc. (1969), Vol 75, Pages 1283-1285
home Identities involving the coefficients of a class of Dirichlet series. III. Trans. Amer. Math. Soc. (1969), Vol 146, Pages 323-348
home Erratum: "On the zeros of the Riemann zeta-function''. Proc. Amer. Math. Soc. (1970), Vol 24, Pages 839
home Identities involving the coefficients of a class of Dirichlet series. IV. Trans. Amer. Math. Soc. (1970), Vol 149, Pages 179-185
home On the average order of some arithmetical functions. Bull. Amer. Math. Soc. (1970), Vol 76, Pages 856-859
home On the average order of ideal functions and other arithmetical functions. Bull. Amer. Math. Soc. (1970), Vol 76, Pages 1270-1274
home The number of zeros for $\zeta ^{(k)}\,(s)$. J. London Math. Soc. (2) (1970), Vol 2, Pages 577-580
home On the zeros of a class of Dirichlet series. II. Illinois J. Math. (1970), Vol 14, Pages 678-691
home On the zeros of a class of Dirichlet series. I Illinois J. Math. (1970), Vol 14, Pages 244-258
home The number of zeros of the Dedekind zeta-function on the critical line. J. Number Theory (1971), Vol 3, Pages 1-6
home The functional equation of some Dirichlet series. Proc. Amer. Math. Soc. (1971), Vol 29, Pages 457-460
home Identities involving the coefficients of a class of Dirichlet series. V, VI. Trans. Amer. Math. Soc. (1971), Vol 160, Pages 157-167
home On the average order of a class of arithmetical functions. I. J. Number Theory (1971), Vol 3, Pages 184-203
home On the average order of a class of arithmetical functions. II. J. Number Theory (1971), Vol 3, Pages 288-305
home The functional equation of some Dirichlet series. II. Proc. Amer. Math. Soc. (1972), Vol 31, Pages 24-26
home On the Hurwitz zeta-function. Rocky Mountain J. Math. (1972), Vol 2, Pages 151-157
home Two new proofs of Lerch's functional equation. Proc. Amer. Math. Soc. (1972), Vol 32, Pages 403-408
home The evaluation of character series by contour integration. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. (1972), Vol , Pages 25-29
home The Voronoï summation formula. Lecture Notes in Math. (1972), Vol , Pages 21-36
home On Gaussian sums. Proceedings of the Number Theory Conference (1972), Vol , Pages 14-18
home A new proof of the functional equation of Dirichlet $L$-functions. Proc. Amer. Math. Soc. (1973), Vol 37, Pages 355-357
home On Gaussian sums and other exponential sums with periodic coefficients. Duke Math. J. (1973), Vol 40, Pages 145-156
home An elementary proof of some character sum identities of Apostol. Glasgow Math. J. (1973), Vol 14, Pages 50-53
home The evaluation of infinite series by contour integration. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. (1973), Vol , Pages 119-122
home Character transformation formulae similar to those for the Dedekind eta-function. Amer. Math. Soc. (1973), Vol , Pages 9-30
home A new method in arithmetical functions and contour integration. Canad. Math. Bull. (1973), Vol 16, Pages 381-387
home Generalized Dedekind eta-functions and generalized Dedekind sums. Trans. Amer. Math. Soc. (1973), Vol 178, Pages 495-508
home Zero sums of the Legendre symbol. Nordisk Mat. Tidskr. (1974), Vol 22, Pages 5-8
home A new proof of the reciprocity theorem for Dedekind sums. Elem. Math. (1974), Vol 29, Pages 93-94
home Least positive residues and the law of quadratic reciprocity. Delta (Waukesha) (1974/75), Vol 4, Pages 65-69
home Generalized Eisenstein series and modified Dedekind sums. J. Reine Angew. Math. (1974), Vol 272, Pages 182-193
home Problem 73-26, "A double summation''. SIAM Rev. (1974), Vol 16, Pages 555-557
home A generalization of a theorem of Gauss on sums involving $[x]$. Amer. Math. Monthly (1975), Vol 82, Pages 44-51
home Identities involving the coefficients of a class of Dirichlet series. VII. Trans. Amer. Math. Soc. (1975), Vol 201, Pages 247-261
home Elementary evaluation of $\zeta (2n)$. Math. Mag. (1975), Vol 48, Pages 148-154
home The evaluation of certain classes of nonabsolutely convergent double series. SIAM J. Math. Anal. (1975), Vol 6, Pages 966-977
home Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications. J. Number Theory (1975), Vol 7, Pages 413-445
home Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory. Acta Arith. (1975/76), Vol 28, Pages 23-68
home Periodic Bernoulli numbers, summation formulas and applications. Proc. Advanced Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wis. (1975), Vol , Pages 143-189
home On Eisenstein series with characters and the values of Dirichlet $L$-functions. Acta Arith. (1975/76), Vol 28, Pages 299-320
home Dedekind sums and a paper of G. H. Hardy. J. London Math. Soc. (2) (1976), Vol 13, Pages 129-137
home Classical theorems on quadratic residues. Enseignement Math. (2) (1976), Vol 22, Pages 261-304
home Modular transformations and generalizations of several formulae of Ramanujan. Rocky Mountain J. Math. (1977), Vol 7, Pages 147-189
home Reciprocity theorems for Dedekind sums and generalizations. Advances in Math. (1977), Vol 23, Pages 285-316
home The reckoning of certain quartic and octic Gauss sums. Glasgow Math. J. (1977), Vol 18, Pages 153-155
home A new class of Bessel function integrals. Aequationes Math. (1977), Vol 16, Pages 183-186
home Dedekind sums and class numbers. Monatsh. Math. (1977), Vol 84, Pages 265-273
home Ramanujan's notebooks. Math. Mag. (1978), Vol 51, Pages 147-164
home Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan. J. Reine Angew. Math. (1978), Vol 303/304, Pages 332-365
home Sums of Gauss, Eisenstein, Jacobi, Jacobsthal, and Brewer. Illinois J. Math. (1979), Vol 23, Pages 374-437
home Sums of Gauss, Jacobi, and Jacobsthal. J. Number Theory (1979), Vol 11, Pages 349-398
home Half Gauss sums. Math. Ann. (1980), Vol 249, Pages 115-125
home Chapter 14 of Ramanujan's second notebook. Enseign. Math. (2) (1980), Vol 26, Pages 1-65
home Corrigendum to the paper: "Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory'' Acta Arith. (1975/76), Vol 28, Pages 23-68
home The determination of Gauss sums. Bull. Amer. Math. Soc. (N.S.) (1981), Vol 5, Pages 107-129
home Chapter 2 of Ramanujan's second notebook. Glasgow Math. J. (1981), Vol 22, Pages 199-216
home Chapter 4 of Ramanujan's second notebook. Proc. Roy. Soc. Edinburgh Sect. A (1981), Vol 89, Pages 87-109
home Chapter 5 of Ramanujan's second notebook. Lecture Notes in Math. (1981), Vol , Pages 49-78
home Corrigendum to: "The determination of Gauss sums'' Bull. Amer. Math. Soc. (N.S.) (1982), Vol 7, Pages 441
home Sums involving the greatest integer function and Riemann-Stieltjes integration. J. Reine Angew. Math. (1982), Vol 337, Pages 208-220
home An arithmetic Poisson formula. Pacific J. Math. (1982), Vol 103, Pages 295-299
home Chapter 10 of Ramanujan's second notebook. J. Indian Math. Soc. (N.S.) (1982), Vol 46, Pages 31-76
home Chapter 11 of Ramanujan's second notebook. Bull. London Math. Soc. (1983), Vol 15, Pages 273-320
home Chapter 3 of Ramanujan's second notebook. Adv. in Math. (1983), Vol 49, Pages 123-169
home Chapter 6 of Ramanujan's second notebook. Results Math. (1983), Vol 6, Pages 7-26
home Chapter 9 of Ramanujan's second notebook. Infinite series identities, transformations, and evaluations. Contemp. Math. (1983), Vol , Pages
home Chapter 8 of Ramanujan's second notebook. J. Reine Angew. Math. (1983), Vol 338, Pages 1-55
home The quarterly reports of S. Ramanujan. Amer. Math. Monthly (1983), Vol 90, Pages 505-516
home Chapter $7$ of Ramanujan's second notebook. Proc. Indian Acad. Sci. Math. Sci. (1983), Vol 92, Pages 67-96
home Analytic properties of arithmetic sums arising in the theory of the classical theta functions. SIAM J. Math. Anal. (1984), Vol 15, Pages 143-150
home Ramanujan's quarterly reports. Bull. London Math. Soc. (1984), Vol 16, Pages 449-489
home Chapter 13 of Ramanujan's second notebook: integrals and asymptotic expansions. Exposition. Math. (1984), Vol 2, Pages 289-347
home Chapter $16$ of Ramanujan's second notebook: theta-functions and $q$-series. Mem. Amer. Math. Soc. (1985), Vol 53, Pages
home The gamma function and the Hurwitz zeta-function. Amer. Math. Monthly (1985), Vol 92, Pages 126-130
home Ramanujan's notebooks. Springer-Verlag (1985), Vol , Pages
home Remarks on some of Ramanujan's number theoretical discoveries found in his second notebook. Lecture Notes in Math. (1985), Vol , Pages 47-55
home Extensions of asymptotic expansions from Chapter 15 of Ramanujan's second notebook. J. Reine Angew. Math. (1985), Vol 361, Pages 118-134
home Chapter 12 of Ramanujan's second notebook: continued fractions. Rocky Mountain J. Math. (1985), Vol 15, Pages 235-310
home A pilgrimage. Math. Intelligencer (1986), Vol 8, Pages 25-30
home Chapter 15 of Ramanujan's second notebook. II. Modular forms. Acta Arith. (1986), Vol 47, Pages 123-142
home Ramanujan's "mixed'' modular equations. J. Ramanujan Math. Soc. (1986), Vol 1, Pages 46-70
home Ramanujan's modular equations of degrees $7$ and $11$. Indian J. Math. (1987), Vol 29, Pages 215-228
home Ramanujan's modular equations of "large'' prime degree. J. Indian Math. Soc. (N.S.) (1987), Vol 51, Pages 75-110
home Ramanujan's modular equations. Academic Press (1988), Vol , Pages 313-333
home Ramanujan—100 years old (fashioned) or 100 years new (fangled)? Math. Intelligencer (1988), Vol 10, Pages 24-29
home The notebooks of Srinivasa Ramanujan. Macmillan India (1988), Vol , Pages 42-51
home Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, $\pi$, and the Ladies diary. Amer. Math. Monthly (1988), Vol 95, Pages 585-608
home Introduction to Ramanujan's modular equations. RMS Publ. (1988), Vol , Pages 15-20
home Ramanujan's notebooks. Part II. Springer-Verlag (1989), Vol , Pages
home Srinivasa Ramanujan. Amer. Scholar (1989), Vol 58, Pages 234-244
home Variations on the Rogers-Ramanujan continued fraction in Ramanujan's notebooks. Lecture Notes in Math. (1989), Vol , Pages 73-83
home Ramanujan and the theory of prime numbers. Lecture Notes in Math. (1989), Vol , Pages 122-139
home Ramanujan's formulas for Eisenstein series. Tata Inst. Fund. Res. Stud. Math. (1989), Vol , Pages 23-29
home Some asymptotic formulas for $q$-series found in Ramanujan's third notebook and "lost notebook''. Indian J. Math. (1990), Vol 32, Pages 179-185
home An integral functional equation of Ramanujan related to the dilogarithm. Number theory (1990), Vol , Pages 1-5
home Ramanujan's notebooks. Part III. Springer-Verlag (1991), Vol , Pages
home Ramanujan's inversion formulas for the lemniscate and allied functions. J. Math. Anal. Appl. (1991), Vol 160, Pages 504-524
home Some elegant approximations and asymptotic formulas of Ramanujan. J. Comput. Appl. Math. (1991), Vol 37, Pages 35-41
home The continued fractions found in the unorganized portions of Ramanujan's notebooks. Mem. Amer. Math. Soc. (1992), Vol 99, Pages
home Ramanujan's identities for eta-functions. Math. Ann. (1992), Vol 292, Pages 561-573
home Hans Rademacher (1892–1969). Acta Arith. (1992), Vol 61, Pages 209-225
home Asymptotic expansion of a series of Ramanujan. Proc. Edinburgh Math. Soc. (2) (1991), Vol 35, Pages 189-199
home A remarkable identity found in Ramanujan's third notebook. Glasgow Math. J. (1992), Vol 34, Pages 341-345
home On a certain theta-function in a letter of Ramanujan from Fitzroy House. Ganita (1992), Vol 43, Pages 33-43
home A theorem of Ramanujan on certain alternating series. Contemp. Math. (1993), Vol , Pages 47-57
home Ramanujan's theory of theta-functions. CRM Proc. Lecture Notes (1993), Vol , Pages 1-63
home Ramanujan—for lowbrows. Amer. Math. Monthly (1993), Vol 100, Pages 644-656
home Ramanujan's notebooks. Springer-Verlag (1994), Vol , Pages
home Two remarkable doubly exponential series transformations of Ramanujan. Proc. Indian Acad. Sci. Math. Sci. (1994), Vol 104, Pages 245-252
home Hans Rademacher (1892–1969). Contemp. Math. (1994), Vol , Pages
home On Rademacher's multiplier system for the classical theta-function. Contemp. Math. (1994), Vol , Pages 1-7
home A new class of theta-function identities originating in Ramanujan's notebooks. J. Number Theory (1994), Vol 48, Pages 224-242
home Ramanujan's theories of elliptic functions to alternative bases. Trans. Amer. Math. Soc. (1995), Vol 347, Pages 4163-4244
home Some values for the Rogers-Ramanujan continued fraction. Canad. J. Math. (1995), Vol 47, Pages 897-914
home Ramanujan. Letters and commentary. Hist. Math. (1995), Vol , Pages
home Five formulas of Ramanujan arising from Eisenstein series. CMS Conf. Proc. (1995), Vol , Pages 67-86
home Ramanujan's class invariants and cubic continued fraction. Acta Arith. (1995), Vol 73, Pages 67-85
home Ramanujan's explicit values for the classical theta-function. Mathematika (1995), Vol 42, Pages 278-294
home Explicit evaluations of the Rogers-Ramanujan continued fraction. J. Reine Angew. Math. (1996), Vol 480, Pages 141-159
home Ramanujan's class invariants, Kronecker's limit formula, and modular equations. Trans. Amer. Math. Soc. (1997), Vol 349, Pages 2125-2173
home Ramanujan's class invariants with applications to the values of $q$-continued fractions and theta functions Fields Inst. Commun. (1997), Vol , Pages 37-53
home Ramanujan's remarkable product of theta-functions. Proc. Edinburgh Math. Soc. (2) (1997), Vol 40, Pages 583-612
home Ramanujan's association with radicals in India. Amer. Math. Monthly (1997), Vol 104, Pages 905-911
home Ramanujan's singular moduli. Ramanujan J. (1997), Vol 1, Pages 53-74
home Ramanujan's notebooks. Springer-Verlag (1998), Vol , Pages
home Gauss and Jacobi sums. Canad. Math. Soc. Ser. Monogr. Adv. Texts (1998), Vol , Pages
home Radicals and units in Ramanujan's work. Acta Arith. (1998), Vol 87, Pages 145-158
home An overview of Ramanujan's notebooks. Charlemagne and his heritage. 1200 years of civilization and science in Europe (1998), Vol 2, Pages 119-146
home The remaining $40\%$ of Ramanujan's lost notebook. Sūrikaisekikenkyūsho Kōkyūroku (1998), Vol , Pages 111-118
home Notes on Ramanujan's singular moduli. CRM Proc. Lecture Notes (1999), Vol , Pages 7-16
home The Rogers-Ramanujan continued fraction. J. Comput. Appl. Math. (1999), Vol 105, Pages 9-24
home Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary. Sém. Lothar. Combin. (1999), Vol 42, Pages 63
home Continued fractions: from analytic number theory to constructive approximation Contemp. Math. (1999), Vol , Pages
home The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society. Contemp. Math. (1999), Vol , Pages 15-56
home Ramanujan and the modular $j$-invariant. Canad. Math. Bull. (1999), Vol 42, Pages 427-440
home Fragments by Ramanujan on Lambert series. Kluwer Acad. Publ. (1999), Vol , Pages
home Some theorems on the Rogers-Ramanujan continued fraction in Ramanujan's lost notebook. Trans. Amer. Math. Soc. (2000), Vol 352, Pages 2157-2177
home On the Brocard-Ramanujan Diophantine equation $n!+1=m^2$. Ramanujan J. (2000), Vol 4, Pages 41-42
home Eisenstein series in Ramanujan's lost notebook. Ramanujan J. (2000), Vol 4, Pages 81-114
home Modular equations in Ramanujan's lost notebook. Trends Math. (2000), Vol , Pages 55-74
home Incomplete elliptic integrals in Ramanujan's lost notebook. Contemp. Math. (2000), Vol , Pages 79-126
home Ramanujan's short unpublished manuscript on integrals and series related to Euler's constant. CMS Conf. Proc. (2000), Vol , Pages 19-27
home The books studied by Ramanujan in India. Amer. Math. Monthly (2000), Vol 107, Pages 595-601
home On Ramanujan's quartic theory of elliptic functions. J. Number Theory (2001), Vol 88, Pages 129-156
home Eisenstein series and approximations to $\pi$. Illinois J. Math. (2001), Vol 45, Pages 75-90
home The four photographs of Ramanujan. Hist. Math. (2001), Vol , Pages 3-8
home The books studied by Ramanujan in India Hist. Math. (2001), Vol , Pages 9-15
home The influence of Carr's synopsis on Ramanujan. Amer. Math. Soc. (2001), Vol , Pages 17–20
home S. Janaki Ammal (Mrs. Ramanujan). Hist. Math. (2001), Vol , Pages 83–87
home A short biography of S. Narayana Iyer. Hist. Math. (2001), Vol , Pages 97-98
home An overview of Ramanujan's notebooks Hist. Math. (2001), Vol , Pages 143-164
home $\pi$ related developments since 1988. Hist. Math. (2001), Vol , Pages
home The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society Hist. Math. (2001), Vol , Pages 215-258
home On the transformation formula for the Dedekind eta-function. Dev. Math. (2001), Vol , Pages 73-77
home Flowers which we cannot yet see growing in Ramanujan's garden of hypergeometric series, elliptic functions, and $q$'s. NATO Sci. Ser. II Math. Phys. Chem. (2001), Vol , Pages 61-85
home Asymptotic formulas for two continued fractions in Ramanujan's Lost Notebook. J. London Math. Soc. (2) (2002), Vol 65, Pages 271-284
home A certain quotient of eta-functions found in Ramanujan's lost notebook. Pacific J. Math. (2002), Vol 202, Pages 267-304
home Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series. Int. Math. Res. Not. (2002), Vol , Pages 1077-1109
home Congruences for the coefficients of quotients of Eisenstein series. Acta Arith. (2002), Vol 104, Pages 297-308
home Integrals of Eisenstein series and derivatives of $L$-functions. Int. Math. Res. Not. (2002), Vol , Pages 1723-1738
home Commentary on an unpublished lecture by G. N. Watson on solving the quintic. Math. Intelligencer (2002), Vol 24, Pages 15-33
home An integral of Dedekind eta-functions in Ramanujan's lost notebook. J. Reine Angew. Math. (2002), Vol 551, Pages 33-39
home Explicit evaluations and reciprocity theorems for finite trigonometric sums. Adv. in Appl. Math. (2002), Vol 29, Pages 358-385
home A survey on Eisenstein series in Ramanujan's lost notebook. Sūrikaisekikenkyūsho Kōkyūroku (2002), Vol , Pages 130-141
home The influence of Carr's synopsis on Ramanujan. Trends Math. (2002), Vol , Pages 31-35
home The problems solved by Ramanujan in the Journal of the Indian Mathematical Society. Trends Math. (2002), Vol , Pages 189-200
home Ramanujan's contributions to Eisenstein series, especially in his lost notebook. Dev. Math. (2002), Vol , Pages 31-53
home A multi-variable theta product. Indag. Math. (N.S.) (2002), Vol 13, Pages 11-22
home On Ramanujan's continued fraction for $(q^2;q^3)_\infty/(q;q^3)_\infty$. Trans. Amer. Math. Soc. (2003), Vol 355, Pages 2397-2411
home A page on Eisenstein series in Ramanujan's Lost Notebook. Glasg. Math. J. (2003), Vol 45, Pages 123-129
home On the parity of partition functions. Internat. J. Math. (2003), Vol 14, Pages 437-459
home A quasi-theta product in Ramanujan's lost notebook. Math. Proc. Cambridge Philos. Soc. (2003), Vol 135, Pages 11-18
home Theorems on partitions from a page in Ramanujan's lost notebook. J. Comput. Appl. Math. (2003), Vol 160, Pages 53-68
home Combinatorial proofs of identities in Ramanujan's lost notebook associated with the Rogers-Fine identity and false theta functions. Ann. Comb. (2003), Vol 7, Pages 409-423
home The life and work of R. Ramanujan J. (2003), Vol 7, Pages 9-38
home On the generalized Rogers-Ramanujan continued fraction. Rankin memorial issues. Ramanujan J. (2003), Vol 7, Pages 321-331
home New theorems on the parity of partition functions. J. Reine Angew. Math. (2004), Vol 566, Pages 91-109
home A new identity for $(q;q)^{10}_\infty$ with an application to Ramanujan's partition congruence modulo 11. Q. J. Math. (2004), Vol 55, Pages 13-30
home An unpublished manuscript of Ramanujan on infinite series identities. J. Ramanujan Math. Soc. (2004), Vol 19, Pages 57-74
home Two exams taken by Ramanujan in India. Amer. Math. Monthly (2004), Vol 111, Pages 330-339
home Some integrals in Ramanujan's lost notebook. Proc. Amer. Math. Soc. (2004), Vol 132, Pages 2983-2988
home Finite trigonometric sums and class numbers. Math. Ann. (2004), Vol 330, Pages 551-575
home $q$-Gauss summation via Ramanujan and combinatorics. South East Asian J. Math. Math. Sci. (2004), Vol 3, Pages 15-22
home Cranks and dissections in Ramanujan's lost notebook. J. Combin. Theory Ser. A (2005), Vol 109, Pages 91-120
home Continued fractions with three limit points. Adv. Math. (2005), Vol 192, Pages 231-258
home Ramanujan and cranks. Dev. Math. (2005), Vol , Pages 77-98
home Ramanujan's lost notebook. Springer (2005), Vol , Pages
home A continued fraction from Ramanujan's lost notebook. Aequationes Math. (2005), Vol 69, Pages 257-262
home On the power series coefficients of certain quotients of Eisenstein series. Trans. Amer. Math. Soc. (2005), Vol 357, Pages 4379-4412
home Determinations of analogues of Gauss sums and other trigonometric sums. Int. J. Number Theory (2005), Vol 1, Pages 333-356
home New identities for the Rogers-Ramanujan functions. Acta Arith. (2005), Vol 120, Pages 395-413
home Weighted divisor sums and Bessel function series. Math. Ann. (2006), Vol 335, Pages 249-283
home Number theory in the spirit of Ramanujan. Stud. Math. Libr. (2006), Vol , Pages
home A reciprocity theorem for certain $q$-series found in Ramanujan's lost notebook. Ramanujan J. (2007), Vol 13, Pages 27-37
home Two entries on bilateral hypergeometric series in Ramanujan's lost notebook. Proc. Amer. Math. Soc. (2007), Vol 135, Pages 129-134
home An identity for the Dedekind eta-function involving two independent complex variables. Bull. Lond. Math. Soc. (2007), Vol 39, Pages 345-347
home Solving Ramanujan's differential equations for Eisenstein series via a first order Riccati equation. Acta Arith. (2007), Vol 128, Pages 281-294
home Ramanujan's forty identities for the Rogers-Ramanujan functions. Mem. Amer. Math. Soc. (2007), Vol 188, Pages
home Partition identities and Ramanujan's modular equations. J. Combin. Theory Ser. A (2007), Vol 114, Pages 1024-1045
home Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan. Ann. Comb. (2007), Vol 11, Pages 115-125
home Preface Int. J. Number Theory (2007), Vol 3, Pages
home Ramanujan's congruences for the partition function modulo 5, 7, and 11. Int. J. Number Theory (2007), Vol 3, Pages 349-354
home Sixth order mock theta functions. Adv. Math. (2007), Vol 216, Pages 771-786
home Ramanujan's series for $1/\pi$ a survey. Math. Student (2008), Vol , Pages 1-24
home Your hit parade: the top ten most fascinating formulas in Ramanujan's lost notebook. Notices Amer. Math. Soc. (2008), Vol 55, Pages 18-30
home Hecke's theory of modular forms and Dirichlet series. World Scientific Publishing Co. Pte. Ltd. (2008), Vol , Pages
home Ramanujan's series for $1/\pi$ arising from his cubic and quartic theories of elliptic functions. J. Math. Anal. Appl. (2008), Vol 341, Pages 357-371
home Partition identities arising from theta function identities. Acta Math. Sin. (Engl. Ser.) (2008), Vol 24, Pages 955-970
home A fragment on Euler's constant in Ramanujan's lost notebook. South East Asian J. Math. Math. Sci. (2008), Vol 6, Pages 17-22
home Questionable claims found in Ramanujan's lost notebook. Contemp. Math. (2008), Vol , Pages 69-98
home Koshliakov's formula and Guinand's formula in Ramanujan's lost notebook. Dev. Math. (2008), Vol , Pages 21-42
home Ramanujan's lost notebook. Springer (2009), Vol , Pages
home A reciprocity theorem for certain hypergeometric series. Proc. Amer. Math. Soc. (2009), Vol 137, Pages 2369-2373
home An integral analogue of theta functions and Gauss sums in Ramanujan's lost notebook. Math. Proc. Cambridge Philos. Soc. (2009), Vol 147, Pages 257-265
home Ramanujan's series for $1/\pi$ a survey. Amer. Math. Monthly (2009), Vol 116, Pages 567-587
home Ramanujan's Eisenstein series and new hypergeometric-like series for $1/\pi^2$. J. Approx. Theory (2009), Vol 160, Pages 135-153
home Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions. J. Combin. Theory Ser. A (2010), Vol 117, Pages 857-973
home Symplectic geometry and the uniqueness of Grauert tubes. Geom. Funct. Anal. (2001), Vol 11, Pages 1-10
home Cranks—really, the final problem. Ramanujan J. (2010), Vol 23, Pages 3-15
home Eisenstein series and Ramanujan-type series for $1/\pi$. Ramanujan J. (2010), Vol 23, Pages 17-44
home A transformation formula involving the gamma and Riemann zeta functions in Ramanujan's lost notebook. Springer (2010), Vol , Pages 199-210
home Character analogues of theorems of Ramanujan, Koshliakov and Guinand. Adv. in Appl. Math. (2011), Vol 46, Pages 54-70
home Asymptotic expansions of certain partial theta functions. Proc. Amer. Math. Soc. (2011), Vol 139, Pages 3779-3788