Asymptotics for the partial fractions of the restricted partition generating function I

DOI10.1142/S1793042116500895zbMath1407.11119arXiv1507.07975OpenAlexW2963542085MaRDI QIDQ2816446

Cormac O'Sullivan

Publication date: 22 August 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07975

zbMATH Keywords

dilogarithmpartial fraction decompositionsaddle-point methodrestricted partitions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Analytic theory of partitions (11P82)

Related Items

Partitions and Sylvester waves ⋮ Revisiting the saddle-point method of Perron ⋮ Zeros of the dilogarithm ⋮ Rademacher's conjecture and expansions at roots of unity of products generating restricted partitions

Uses Software

• HANS

Cites Work

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• The Frobenius problem, rational polytopes, and Fourier-Dedekind sums
• On the coefficients that arise from Laplace's method
• Disproof of a conjecture by Rademacher on partial fractions
• The Dilogarithm Function
• On a product of sines
• On Rademacher's Conjecture and A Recurrence Relation of Euler
• PROOF OF A CONJECTURE OF SUDLER'S
• AN ASYMPTOTIC FORMULA IN THE THEORY OF PARTITIONS
• SOME ASYMPTOTIC FORMULAE IN THE THEORY OF PARTITIONS (II)
• The polynomial part of a restricted partition function related to the Frobenius problem