The MathNet Korea
Information Center for Mathematical Science

### 국내수학자

Information Center for Mathematical Science

#### 국외수학자

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