Some congruences for modulus 13 related to partition generating function

Author:

Bilgici Göksal,Ekin A. Bülent

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference9 articles.

1. Atkin, A.O.L., Swinnerton-Dyer, H.P.F.: Some properties of partitions. Proc. Lond. Math. Soc. 4(3), 84–106 (1954). doi: 10.1112/plms/s3-4.1.84

2. Bilgici, G.: The crank of partitions mod 13. Ramanujan J. 30(3), 403–424 (2013). doi: 10.1007/s11139-012-9430-6

3. Dyson, F.J.: Some guesses in the theory of partitions. Eureka, Camb. 8, 10–15 (1944)

4. Ekin, A.B.: The rank and the crank in the theory of partition. D.Ph. Thesis, University of Sussex (1993)

5. Hirschhorn, M.D.: Winquist and the Atkin-Swinnerton-Dyer partition congruences for modulus 11. Australas. J. Comb. 22, 101–104 (2000)

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1. Finding Modular Functions for Ramanujan-Type Identities;Annals of Combinatorics;2019-11

2. Two Partition Functions with Congruences Modulo 3,5,7, and 13;Annals of Combinatorics;2017-07-26

3. Ramanujan’s Tau Function;Analytic Number Theory, Modular Forms and q-Hypergeometric Series;2017

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