Differences of Partition Functions: The Anti-telescoping Method

DOI10.1007/978-1-4614-4075-8_1zbMath1318.11130OpenAlexW36839709MaRDI QIDQ4912509

George E. Andrews

Publication date: 4 April 2013

Published in: From Fourier Analysis and Number Theory to Radon Transforms and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-4075-8_1

zbMATH Keywords

Rogers-Ramanujan identitiespartition functionsanti-telescoping method

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)

Related Items (10)

A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins ⋮ Parity biases in partitions and restricted partitions ⋮ On the class of dominant and subordinate products ⋮ Parity bias in partitions ⋮ Races among products ⋮ Some elementary partition inequalities and their implications ⋮ Partition Inequalities and Applications to Sum-Product Conjectures of Kanade-Russell ⋮ Parity biases in partitions and restricted partitions ⋮ BIASES IN INTEGER PARTITIONS ⋮ A generalization of partition identities for first differences of partitions of \(n\) into at most \(m\) parts

Cites Work

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• An injection for the Ehrenpreis Rogers-Ramanujan problem
• Dissecting the Stanley partition function
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• Applications of Basic Hypergeometric Functions
• A Motivated Proof of the Rogers-Ramanujan Identities
• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities
• A Generalization of the Gollnitz-Gordon Partition Theorems
• Partitionen mit Differenzenbedingungen.

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