A proof of the mod 4 unimodal sequence conjectures and related mock theta functions
نویسندگان
چکیده
In 2012 Bryson, Ono, Pitman and Rhoades showed how the generating functions for certain strongly unimodal sequences are related to quantum modular mock forms. They proved some parity results conjectured mod 4 congruences coefficients of these functions. 2016 Kim, Lim Lovejoy obtained similar odd-balanced made conjectures. We prove all conjectures Andrews spt-function theta Our method proof involves new Hecke-Rogers type identities indefinite binary quadratic forms Hurwitz class number.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108235