Several new product identities in relation to Rogers–Ramanujan type sums and mock theta functions

Author:

Pascadi AlexandruORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Mathematics (miscellaneous),Theoretical Computer Science

Reference53 articles.

1. Adiga, C., Berndt, B.C., Bhargava, S., Watson, G.N.: Chapter 16 of Ramanujan’s Second Notebook: Theta-Functions and $$q$$-Series, vol. 315. American Mathematical Society, Providence (1985)

2. Adiga, C., Bulkhali, N.: Identities for certain products of theta functions with applications to modular relations. J. Anal. Number Theory 2(1), 1–15 (2014)

3. Andersen, N.: Vector-valued modular forms and the mock theta conjectures. Res. Number Theory 2(1), 32 (2016)

4. Andrews, G., Schilling, A., Warnaar, S.O.: An $$A_2$$ Bailey lemma and Rogers-Ramanujan-type identities. J. Am. Math. Soc. 12(3), 677–702 (1999)

5. Andrews, G.E.: Applications of basic hypergeometric functions. SIAM Rev. 16(4), 441–484 (1974)

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1. Cylindric partitions and some new $A_2$ Rogers–Ramanujan identities;Proceedings of the American Mathematical Society;2021-11-04

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