ジョージ・アンドリューズとは - わかりやすく解説 Weblio辞書

ウィキペディア

索引トップ用語の索引ランキングカテゴリー

ジョージ・アンドリューズ

出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2024/03/12 14:03 UTC 版)

ジョージ・アンドリューズ（英語: George Andrews、1938年 12月4日 - ）は、アメリカ合衆国の数学者。専門は、特殊関数・数論（特に自然数の分割など）。

出典

^ Andrews, G. E. (2004). On a partition function of Richard Stanley. The electronic journal of combinatorics, 11(2).
^ Ishikawa, M., & Zeng, J. (2009). The Andrews–Stanley partition function and Al-Salam–Chihara polynomials. Discrete Mathematics, 309(1), 151-175.
^ Yee, A. J. (2004). On partition functions of Andrews and Stanley. Journal of Combinatorial Theory, Series A, 107(2), 313-321.
^ Sills, A. V. (2004). A combinatorial proof of a partition identity of Andrews and Stanley. International Journal of Mathematics and Mathematical Sciences, 2004(47), 2495-2501.
^ Berkovich, A., & Garvan, F. (2006). On the Andrews-Stanley refinement of Ramanujan’s partition congruence modulo 5 and generalizations. Transactions of the American Mathematical Society, 358(2), 703-726.
^ Swisher, H. (2011). The Andrews-Stanley partition function and $p(n)$ : congruences. Proceedings of the American Mathematical Society, 139(4), 1175-1185.
^ Wang, M. (2008). A remark on Andrews–Askey integral. Journal of Mathematical Analysis and Applications, 341(2), 1487-1494.
^ Cao, J. (2014). A note on generalized $q$ -difference equations for $q$ -beta and Andrews–Askey integral. Journal of Mathematical Analysis and Applications, 412(2), 841-851.
^ Liu, Z. G. (2016). Extensions of Ramanujan's reciprocity theorem and the Andrews–Askey integral. Journal of Mathematical Analysis and Applications, 443(2), 1110-1129.
^ Bressoud, D., & Zeilberger, D. (1985). A proof of Andrews' $q$ -Dyson conjecture. NUMBER THEORY AND RELATED TOPICS, 35.
^ Kadell, K. W. (1985). A proof of Andrews’ $q$ -Dyson conjecture for 𝑛= 4. Transactions of the American Mathematical Society, 290(1), 127-144.
^ Capparelli, S., Lepowsky, J., & Milas, A. (2006). The Rogers–Selberg recursions, the Gordon–Andrews identities and intertwining operators. The Ramanujan Journal, 12(3), 379-397.
^ Melzer, E. (1994). Supersymmetric analogs of the Gordon-Andrews identities, and related TBA systems. arXiv preprint hep-th/9412154.
^ Warnaar, S. O. (1997). The Andrews–Gordon identities and $q$ -multinomial coefficients. Communications in mathematical physics, 184(1), 203-232.
^ Richmond, B., & Szekeres, G. (1981). Some formulas related to dilogarithms, the zeta function and the Andrews-Gordon identities. Journal of the Australian Mathematical Society, 31(3), 362-373.
^ Berkovich, A., & Paule, P. (2001). Variants of the Andrews-Gordon identities. The Ramanujan Journal, 5(4), 391-404.
^ Hikami, K. (2006). $q$ -series and $L$ -functions related to half-derivatives of the Andrews-Gordon identity. The Ramanujan Journal, 11(2), 175-197.
^ Berkovich, A., & Paule, P. (2001). Lattice paths, $q$ -multinomials and two variants of the Andrews-Gordon identities. The Ramanujan Journal, 5(4), 409-425.