publication . Preprint . 2013

Schur's partition theorem and mixed mock modular forms

Bringmann, Kathrin; Mahlburg, Karl;
Open Access English
  • Published: 06 Jul 2013
Abstract
Comment: 20 pages
Subjects
free text keywords: Mathematics - Number Theory, Mathematics - Combinatorics, Mathematics - Probability, 05A15, 05A17, 11P82, 11P84, 60C05
Funded by
NSF| Applications of automorphic forms and hypergeometric q-series
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 1201435
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
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49 references, page 1 of 4

[1] H. Alder, The nonexistence of certain identities in the theory of partitions and compositions, Bull. Amer. Math. Soc. 54 (1948), 712-722. [OpenAIRE]

[2] K. Alladi and B. Gordon, Generalizations of Schur's partition theorem, Manuscripta Math. 79 (1993), 113-126. [OpenAIRE]

[3] H. Alder, Proof of Andrews' conjecture on partition identities, Proc. Amer. Math. Soc. 22 (1969), 688-689. [OpenAIRE]

[4] C. Alfes, M. Jameson, and R. Lemke Oliver, Proof of the Alder-Andrews Conjecture, Proc. Amer. Math. Soc. 139 (2011), 63-78. [OpenAIRE]

[5] G. Andrews, An analytic proof of the Rogers-Ramanujan-Gordon identities, Amer. J. Math. 88 (1966), 844-846.

[6] G. Andrews, On partition functions related to Schur's second partition theorem, Proc. Amer. Math. Soc. 19 (1968), 441-444. [OpenAIRE]

[7] G. Andrews, On q-difference equations for certain well-poised basic hypergeometric series, Q. J. Math. 19 (1968), 433-447.

[8] G. Andrews, A general theorem on partitions with difference conditions, Amer. J. Math. 91 (1969), 18-24. [OpenAIRE]

[9] G. Andrews, On a partition problem of H. L. Alder, Pacific J. Math. 36 (1971), 279-284.

[10] G. Andrews, Problems and prospects for basic hypergeometric functions, Theory and application of special functions, pp. 191-224. Math. Res. Center, Univ. Wisconsin, Publ. No. 35, Academic Press, New York, 1975.

[11] G. Andrews, The hard-hexagon model and Rogers-Ramanujan type identities, Proc. Nat. Acad. of Sci. 78 (1981), 5290-5292.

[12] G. Andrews, The theory of partitions, Cambridge University Press, Cambridge, 1998.

[13] G. Andrews, Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks, Invent. Math. 169 (2007), 37-73.

[14] G. Andrews, R. Askey, and R. Roy, Special functions, Encyclopedia of Mathematics and its Applications 71, Cambridge University Press, Cambridge, 1999.

[15] G. Andrews, H. Eriksson, F. Petrov, and D. Romik, Integrals, partitions and MacMahon's theorem, J. Combin. Theory Ser. A 114 (2007), 545-554.

49 references, page 1 of 4
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