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arXiv:2406.03453v2 (math)
[Submitted on 5 Jun 2024 (v1) , last revised 12 Jul 2024 (this version, v2)]

Title: On a sign-change conjecture of Schlosser and Zhou

Title: 关于Schlosser和Zhou的一个变号猜想

Authors:Kathrin Bringmann, Bernhard Heim, Ben Kane
Abstract: In this paper, we investigate the signs changes of Fourier coefficients of infinite products of $q$-series of Rogers--Ramanujan type. In particular, we prove a conjecture made by Schlosser--Zhou pertaining to such sign changes for products of modulus $10$.
Abstract: 在本文中,我们研究了罗杰斯-拉马努金型$q$系列的无限乘积的傅里叶系数的符号变化。 特别是,我们证明了 Schlosser--Zhou 关于模$10$乘积的此类符号变化的一个猜想。
Subjects: Combinatorics (math.CO) ; Number Theory (math.NT)
Cite as: arXiv:2406.03453 [math.CO]
  (or arXiv:2406.03453v2 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.2406.03453
arXiv-issued DOI via DataCite

Submission history

From: Bernhard Heim [view email]
[v1] Wed, 5 Jun 2024 16:54:07 UTC (16 KB)
[v2] Fri, 12 Jul 2024 13:23:01 UTC (17 KB)
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