ジョージ・アンドリューズ
ジョージ・アンドリューズ(George Andrews、1938年12月4日 - )は、特殊関数・数論(特に自然数の分割など)を専門とするアメリカ合衆国の数学者である。
q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra, GE Andrews - 1986.
Ramanujan revisited, GE Andrews - 1988 (Academic Press)
Number Theory (Dover, 1994, ISBN 0-486-68252-8)
The Theory of Partitions (Cambridge University Press, 1998, ISBN 0-521-63766-X)
Integer Partitions (with Eriksson, Kimmo) (Cambridge University Press, 2004, ISBN 0-521-84118-6)
Ramanujan's Lost Notebook: Part I (with Bruce C. Berndt) (Springer, 2005, ISBN 0-387-25529-X)
Ramanujan's Lost Notebook: Part II, (with Bruce C. Berndt) (Springer, 2008, ISBN 978-0-387-77765-8)
Ramanujan's Lost Notebook: Part III, (with Bruce C. Berndt) (Springer, 2012, ISBN 978-1-4614-3809-0)
Ramanujan's Lost Notebook: Part IV, (with Bruce C. Berndt) (Springer, 2013, ISBN 978-1-4614-4080-2)
"Special functions" by George Andrews, Richard Askey, and Ranjan Roy, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, 1999.
A simple proof of Ramanujan's summation of the _1\psi_1, GE Andrews, R Askey - Aequationes Mathematicae, 1978.
Another q-extension of the beta function, GE Andrews, R Askey - Proceedings of the American Mathematical Society, 1981.
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities, GE Andrews, RJ Baxter, PJ Forrester - Journal of Statistical Physics, 1984.
The Bailey lattice, AK Agarwal, GE Andrews, DM Bressoud - The Journal of the Indian Mathematical Society, 1987.
Rogers-Ramanujan identities for partitions with “N copies of N", AK Agarwal, GE Andrews - Journal of Combinatorial Theory, Series A, 1987.
Partitions and indefinite quadratic forms, GE Andrews, FJ Dyson, D Hickerson - Inventiones Mathematicae, 1988.
The continued fractions found in the unorganized portions of Ramanujan's notebooks, GE Andrews, BC Berndt, L Jacobsen, RL Lamphere - 1992.
Generalizations and refinements of a partition theorem of Gollnitz, K Alladi, GE Andrews, B Gordon - Journal fur die Reine und Angewandte Mathematik, 1995.
An A_2 Bailey lemma and Rogers-Ramanujan-type identities, G Andrews, A Schilling, S Warnaar - Journal of the American Mathematical Society, 1999.
An infinite family of Engel expansions of Rogers–Ramanujan type, GE Andrews, A Knopfmacher, P Paule - Advances in Applied Mathematics, 2000.
MacMahon's partition analysis: the Omega package, GE Andrews, P Paule, A Riese - European Journal of Combinatorics, 2001.
q-series identities and values of certain L-functions, GE Andrews, J Jiménez-Urroz, K Ono - Duke Mathematical Journal, 2001.
The WP-Bailey tree and its implications, G Andrews, A Berkovich - Journal of the London Mathematical Society, 2002.
Baxter algebras and Hopf algebras, G Andrews, L Guo, W Keigher, K Ono - Transactions of the American Mathematical Society, 2003.
A combinatorial interpretation of the Legendre-Stirling numbers, G Andrews, L Littlejohn - Proceedings of the American Mathematical Society, 2009
Arithmetic properties of partitions with even parts distinct, GE Andrews, MD Hirschhorn, JA Sellers - The Ramanujan Journal, 2010.
A simple proof of Jacobi's triple product identity, GE Andrews - Proceedings of the American Mathematical Society, 1965.
q-identities of Auluck, Carlitz, and Rogers, GE Andrews - Duke Mathematical Journal, 1966.
On the theorems of Watson and Dragonette for Ramanujan's mock theta functions, GE Andrews - American Journal of Mathematics, 1966.
An analytic proof of the Rogers-Ramanujan-Gordon identities, GE Andrews - American Journal of Mathematics, 1966.
A generalization of the Göllnitz-Gordon partition theorems, GE Andrews - Proceedings of the American Mathematical Society, 1967.
On q-difference equations for certain well-poised basic hypergeometric series, GE Andrews - The Quarterly Journal of Mathematics, 1968.
On a transformation of bilateral series with applications, GE Andrews - Proceedings of the American Mathematical Society, 1970.
A polynomial identity which implies the Rogers-Ramanujan identities, GE Andrews - Scripta Math, 1970.
Summations and transformations for basic Appell series, GE Andrews - Journal of the London Mathematical Society, 1972.
Two theorems of Gauss and allied identities proved arithmetically, G Andrews - Pacific Journal of Mathematics, 1972.
On the q-analog of Kummer's theorem and applications, GE Andrews - Duke Math. J, 1973.
An analytic generalization of the Rogers-Ramanujan identities for odd moduli, GE Andrews - Proceedings of the National Academy of Sciences, 1974.
On q-analogues of the Watson and Whipple summations, GE Andrews - SIAM Journal on Mathematical Analysis, 1976.
Partitions and Durfee dissection, GE Andrews - American Journal of Mathematics, 1979.
The hard-hexagon model and Rogers—Ramanujan type identities, GE Andrews - Proceedings of the National Academy of Sciences, 1981.
Multiple series Rogers-Ramanujan type identities, G Andrews - Pacific journal of mathematics, 1984.
The fifth and seventh order mock theta functions, GE Andrews - Transactions of the American Mathematical Society, 1986.
Euler's “exemplum memorabile inductionis fallacis" and q-trinomial coefficients, GE Andrews - Journal of the American Mathematical Society, 1990.
q-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher, GE Andrews - Discrete mathematics, 1999.
Partitions, Durfee symbols, and the Atkin–Garvan moments of ranks, GE Andrews - Inventiones Mathematicae, 2007.
The number of smallest parts in the partitions of n, GE Andrews - Journal für die reine und angewandte Mathematik, 2008.
Sieves in the theory of partitions, GE Andrews - American Journal of Mathematics, 1972.
Applications of basic hypergeometric functions, GE Andrews - SIAM Review, 1974.
An introduction to Ramanujan's “lost" notebook, GE Andrews - The American Mathematical Monthly, 1979.
Partitions: yesterday and today, GE Andrews - New Zealand Mathematical Society, 1979.
Andrews–Stanley 分割関数 (partition function)
Andrews-Askey 積分
q-Dyson 予想を提唱
Gordon-Andrews 恒等式