Alan Baker의 정보
수상나이 31
출생년도 1939
사망년도
출생지 London
현재소속 Cambridge University
관련출판물 1.A Baker, Effective methods in the theory of numbers, Actes du Congr?s International des Math?maticiens, Nice, 1970 Tome 1 (Paris, 1971).

2.A Baker, Effective methods in the theory of numbers/Diophantine problems, in M Atiyah and D Iagolnitzer (eds.), Fields Medallistists Lectures (Singapore, 1997), 190-193.

3.Alan Baker, in M Atiyah and D Iagolnitzer (eds.), Fields Medallistists Lectures (Singapore, 1997), 161.

4.P Tur?n, On the work of Alan Baker, Actes du Congress International des Mathematiciens, Nice, 1970 Tome 1 (Paris, 1971), 3-5.

시상내역 Generalized the Gelfond-Schneider theorem (the solution to Hilbert's seventh problem). From this work he generated transcendental numbers not previously identified.
Other Award The Adams Prize(1972)
연구실적 [자세히 보기]
연구단행본 [1] Baker, A.; Wüstholz, G. Number theory, transcendence and Diophantine geometry in the next millennium. Mathematics: frontiers and perspectives, 1--12, Amer. Math. Soc., Providence, RI, 2000. 11Jxx
[2] Baker, A. Logarithmic forms and the $abc$-conjecture. Number theory (Eger, 1996), 37--44, de Gruyter, Berlin, 1998. 11J86 (11D75 11J61)
[3] A tribute to Paul Erdös. Edited by A. Baker, B. Bollobás and A. Hajnal. Cambridge University Press, Cambridge, 1990. xviii+478 pp. ISBN: 0-521-38101-0 00B30 (00B15 05-06 11-06)
[4] Baker, Alan Transcendental number theory. Second edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1990. x+165 pp. ISBN: 0-521-39791-X 11Jxx (11J81)
[5] Baker, A.; Stewart, C. L. On effective approximations to cubic irrationals. New advances in transcendence theory (Durham, 1986), 1--24, Cambridge Univ. Press, Cambridge, 1988. 11J68 (11D25 11J82 11J86)
[6] New advances in transcendence theory. Proceedings of the Symposium on Transcendental Number Theory held at the University of Durham, Durham, July 1986. Edited by Alan Baker. Cambridge University Press, Cambridge, 1988. xii+434 pp. ISBN: 0-521-33545-0 11Jxx (11-06)
[7] Baker, Alan A concise introduction to the theory of numbers. Cambridge University Press, Cambridge, 1984. xiii+95 pp. ISBN: 0-521-24383-1; 0-521-28654-9 11-01
[8] Baker, A. The Fermat equation and transcendence theory. Number theory related to Fermat's last theorem (Cambridge, Mass., 1981), pp. 89--96, Progr. Math., 26, Birkhäuser, Boston, Mass., 1982. 01A65 (10-03 12-03)
[9] Baker, Alan Diophantine analysis and transcendence theory. Selected studies: physics-astrophysics, mathematics, history of science, pp. 149--161, North-Holland, Amsterdam-New York, 1982. 10F35 (10-02 10Bxx)
[10] Baker, A. The theory of linear forms in logarithms. Transcendence theory: advances and applications (Proc. Conf., Univ. Cambridge, Cambridge, 1976), pp. 1--27. Academic Press, London, 1977. 10F35
[11] Transcendence theory: advances and applications. Proceedings of a Conference held at the University of Cambridge, Cambridge, January-February, 1976. Edited by Alan Baker and David William Masser. Academic Press [Harcourt Brace Jovanovich, Publishers], London-New York, 1977. x+236 pp. ISBN: 0-12-074350-7 10F35
[12] Baker, A.; Stewart, C. L. Further aspects of transcendence theory. Journées Arithmétiques de Caen (Univ. Caen, Caen, 1976), pp. 153--163. Asterisque No. 41--42, Soc. Math. France, Paris, 1977. 10F35
[13] Baker, Alan Transcendental number theory. Cambridge University Press, London-New York, 1975. x+147 pp. 10F35
[14] Baker, A. Effective methods in the theory of numbers. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, pp. 19--26. Gauthier-Villars, Paris, 1971. 10F35 (10B15)
[15] Turán, Paul On the work of Alan Baker. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, pp. 3--5. Gauthier-Villars, Paris, 1971. 01A70 (10-03)
[16] Moulin, Hervé Sur l'équation diophantienne $y\sp{2}=x\sp{3}+k$. (French) D'après A. Baker (J. London Math. Soc. 43 (1968), 1--9). Séminaire Delange-Pisot-Poitou (16e année: 1974/75), Théorie des nombres, Fasc. 2, Exp. No. G14, 8 pp. Secrétariat Mathématique, Paris, 1975. 10B10
[17] Mignotte, Maurice Amélioration effective du théorème de Liouville, d'après A. Baker et N. I. Fel\cprime dman. (French) Séminaire Delange-Pisot-Poitou, 15e année (1973/74), Théorie des nombres, Fasc. 2, Exp. No. G4, 5 pp. Secrétariat Mathématique, Paris, 1975. 10F25 (10F35)
[18] Baker, Alan Some aspects of transcendence theory. Journées Arithmétiques de Bordeaux (Conf., Univ. Bordeaux, Bordeaux, 1974), pp. 169--175. Astérisque, Nos. 24--25, Soc. Math. France, Paris, 1975. 10F35
[19] Proceedings of the International Conference on Number Theory (Moscow, September 14--18, 1971). With an introductory address by M. V. Keldy\v s, translated by B. Silver. Edited by I. M. Vinogradov, A. A. Karacuba, K. T. Oskolkov and A. N. Par\v sin. Cover-to-cover translation from the Russian original of Trudy Mat. Inst. Steklov. 132 (1973). Proceedings of the Steklov Institute of Mathematics, No. 132 (1973). American Mathematical Society, Providence, R.I., 1975. v+298 pp. 10-06
[20] Baker, A. A central theorem in transcendence theory. Diophantine approximation and its applications (Proc. Conf., Washington, D.C., 1972), pp. 1--23. Academic Press, New York, 1973. 10F35
[21] {\cyr Matematika: Periodicheski\u\i sbornik perevodov inostrannykh state\u\i. Tom} 15 (1971), {\cyr vyp.} 5. (Russian) [Mathematics: Periodical collection of translations of foreign articles. Vol. 15 (1971), no. 5] Izdat. ``Mir'', Moscow, 1971. 165 pp. 00A10
[22] Baker, A. Effective methods in Diophantine problems. II. Analytic number theory (Proc. Sympos. Pure Math., Vol. XXIV, St. Louis Univ., St. Louis, Mo., 1972), pp. 1--7. Amer. Math. Soc., Providence, R.I., 1973. 10F35
[23] Baker, A. Effective methods in Diophantine problems. 1969 Number Theory Institute (Proc. Sympos. Pure Math., Vol. XX, State Univ. New York, Stony Brook, N.Y., 1969), pp. 195--205. Amer. Math. Soc., Providence, R.I., 1971. 10F35 (10B15 10B35 12A50)
[24] Baker, A. On the periods of the Weierstrass $\wp $-function. 1970 Symposia Mathematica, Vol. IV (INDAM, Rome, 1968/69) pp. 155--174 Academic Press, London 10.32
[25] Baker, A. Continued fractions of transcendental numbers. Mathematika 9 1962 1--8. 10.32
[26] Baker, A. Effective methods in the theory of numbers/Diophantine problems [MR 54 #10162]. Fields Medallists' lectures, 190--193, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 11J86
[27] Baker, A. Effective methods in Diophantine problems. II [MR 49 #2571]. Fields Medallists' lectures, 183--189, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 11J86
[28] Baker, A. Effective methods in Diophantine problems [MR 47 #3324]. Fields Medallists' lectures, 171--182, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 11J86
[29] Baker, A. Effective methods in the theory of numbers [MR 54 #10162]. Fields Medallists' lectures, 162--170, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 11J86
[30] Turán, Paul The work of Alan Baker [MR 54 #2394]. Fields Medallists' lectures, 157--159, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 01A70 (11-03)
연구논문
  • Baker, Alan   Mathematics, indispensability and scientific progress   Erkenntnis   55   1   (2001)   85-116   00A30
  • Baker, A.;W?stholz, G.   Logarithmic forms and group varieties   J. Reine Angew. Math.     442   (1993)   19-62   11J86
  • Baker, A.   The evolution of transcendence theory   Mitt. Math. Ges. Hamburg   12   3   (1991)   513-521   01A60, 11-03, 11Jxx
  • Baker, A.   Transcendence theory and its applications   J. Austral. Math. Soc. Ser. A   25   4   (1978)   438-444   10F35
  • Baker, Alan   Some historical remarks on number theory   Historia Math.   2   4   (1975)   549-553   01A65, 10-03
  • Baker, A.   A sharpening of the bounds for linear forms in logarithms. III   Acta Arith.   27     (1975)   247-252   10F35
  • Baker, A.   A sharpening of the bounds for linear forms in logarithms. II   Acta Arith.   24     (1973)   33-36   10F35
  • Baker, A.;Coates, J.   Fractional parts of powers of rationals   Math. Proc. Cambridge Philos. Soc.   77     (1975)   269-279   10F35
  • Baker, A.;Birch, B. J.;Wirsing, E. A.   On a problem of Chowla   J. Number Theory   5     (1973)   224-236   10H99, 10F35
  • Baker, A.   Recent advances in transcendence theory   Trudy Mat. Inst. Steklov.   132     (1973)   67-69   10F35
  • Baker, A.;Schinzel, A.   On the least integers represented by the genera of binary quadratic forms   Acta Arith.   18     (1971)   137-144   10C15, 10F35, 10H15
  • Baker, A.   A sharpening of the bounds for linear forms in logarithms   Acta Arith.   21     (1972)   117-129   10F15
  • Baker, A.;Stark, H. M.   On a fundamental inequality in number theory   Ann. of Math. (2)   94     (1971)   190-199   10F25
  • Baker, A.   Imaginary quadratic fields with class number $2$   Ann. of Math. (2)   94     (1971)   139-152   12A25
  • Baker, A.   On the class number of imaginary quadratic fields   Bull. Amer. Math. Soc.   77     (1971)   678-684   10.66
  • Baker, A.   An estimate for the $wp $-function at an algebraic point   Amer. J. Math.   92     (1970)   619-622   10.32
  • Baker, A.   On the quasi-periods of the Weierstrass $zeta $-function   Nachr. Akad. Wiss. G?ttingen Math.-Phys. Kl. II   1969     (1969)   147-157   10.32
  • Baker, A.;Schmidt, Wolfgang M.   Diophantine approximation and Hausdorff dimension   Proc. London Math. Soc. (3)   21     (1970)   1-11   10.30
  • Baker, A.   Linear forms in the logarithms of algebraic numbers. IV   Mathematika   15     (1968)   204-216   10.30
  • Baker, A.;Coates, J.   Integer points on curves of genus 1   Proc. Cambridge Philos. Soc.   67     (1970)   595-602   10.10
  • Baker, A.;Davenport, H.   The equations $3xsp{2}-2=ysp{2}$ and $8xsp{2}-7=zsp{2}$   Quart. J. Math. Oxford Ser. (2)   20     (1969)   129-137   10.11
  • Baker, A.   A remark on the class number of quadratic fields   Bull. London Math. Soc.   1     (1969)   98-102   10.66
  • Baker, A.   Bounds for the solutions of the hyperelliptic equation   Proc. Cambridge Philos. Soc.   65     (1969)   439-444   10.13
  • Baker, A.   The Diophantine equation $ysp{2}=axsp{3}+bxsp{2}+cx+d$   J. London Math. Soc.   43     (1968)   1-9   10.10
  • Baker, A.   Contributions to the theory of Diophantine equations. II. The Diophantine equation $ysp{2}=xsp{3}+k$   Philos. Trans. Roy. Soc. London Ser. A   263     (1967-1968)   193-208   10.12
  • Baker, A.   Contributions to the theory of Diophantine equations. I. On the representation of integers by binary forms   Philos. Trans. Roy. Soc. London Ser. A   263     (1967-1968)   173-191   10.12
  • Baker, A.   Linear forms in the logarithms of algebraic numbers. I, II, III   Mathematika   14     (1967)   220-228   10.32
  • Baker, A.   On some diophantine inequalities involving primes   J. Reine Angew. Math.   228     (1967)   166-181   10.30
  • Baker, A.   A note on integral integer-valued functions of several variables   Proc. Cambridge Philos. Soc.   63     (1967)   715-720   10.32, 32.00
  • Baker, A.   Simultaneous rational approximations to certain algebraic numbers   Proc. Cambridge Philos. Soc.   63     (1967)   693-702   10.32
  • Baker, A.   On Mahler's classification of transcendental numbers. II. Simultaneous Diophantine approximation   Acta Arith.   12     (1966-1967)   281-288   10.32
  • Baker, A.   A note on Pad? table   Nederl. Akad. Wetensch. Proc. Ser. A 69=Indag. Math.   28     (1966)   596-601   10.30
  • Korff, D.;Baker, A.;Fried, Z.   A general little group for Lorentz transformations   Nuovo Cimento A (10)   40     (1965)   1096-1099   81.22
  • Baker, A.   On some Diophantine inequalities involving the exponential function   Canad. J. Math.   17     (1965)   616-626   10.30
  • Baker, A.   Power series representing algebraic functions   J. London Math. Soc.   40     (1965)   108-110   10.75, 10.76
  • Baker, A.   Rational approximations to $root 3of 2$ and other algebraic numbers   Quart. J. Math. Oxford Ser. (2)   15     (1964)   375-383   1031
  • Baker, A.   Approximations to the logarithms of certain rational numbers   Acta Arith.   10     (1964)   315-323   10.31
  • Baker, A.   On an analogue of Littlewood's Diophantine approximation problem   Michigan Math. J.   11     (1964)   247-250   10.30
  • Baker, A.   Rational approximations to certain algebraic numbers   Proc. London Math. Soc. (3)   14     (1964)   385-398   10.30
  • Baker, A.   On Mahler's classification of transcendental numbers   Acta Arith.   11     (1964)   97-120   10.32
  • Baker, A.   Continued fractions of transcendental numbers   Mathematika   9     (1962)   1-8   10.32