Rademacher's infinite partial fraction conjecture is (almost certainly) false

DOI10.1080/10236198.2012.678837zbMath1301.11069arXiv1110.4932OpenAlexW3099600658WikidataQ123331367 ScholiaQ123331367MaRDI QIDQ4916377

Andrew V. Sills, Doron Zeilberger

Publication date: 22 April 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4932

zbMATH Keywords

partitionsrecurrencepartial fractionsRademacher conjecture

Mathematics Subject Classification ID

Elementary theory of partitions (11P81) Software, source code, etc. for problems pertaining to number theory (11-04) Analytic theory of partitions (11P82) Computational number theory (11Y99)

Related Items (4)

A formula for the partition function that ``counts ⋮ Zeros of the dilogarithm ⋮ Disproof of a conjecture by Rademacher on partial fractions ⋮ Rademacher's conjecture and expansions at roots of unity of products generating restricted partitions

Uses Software

• HANS

Cites Work

• The Rademacher conjecture and \(q\)-partial fractions
• Partitions: At the interface of \(q\)-series and modular forms

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