Invariants of the quartic binary form and proofs of Chen's conjectures on inequalities for the partition function and the Andrews' spt function

DOI10.1007/S40687-024-00485-4MaRDI QIDQ6660924

Koustav Banerjee

Publication date: 10 January 2025

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

partition functionHardy-Ramanujan-Rademacher formulahigher order Turán inequalitiesinvariants of binary formshigher order Laguerre inequalitiesAndrews' spt functionhigher order shifted differenceslog-concavity and its higher analogs

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Actions of groups on commutative rings; invariant theory (13A50) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82)

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