Asymptotic Formulas and Generalized Dedekind Sums

DOI10.1080/10586458.1998.10504380zbMath0922.11083OpenAlexW2066033242MaRDI QIDQ4236000

Gert Almkvist

Publication date: 22 March 1999

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047674152

zbMATH Keywords

asymptotic formulaplane partitionsgeneralized Dedekind sums

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Analytic theory of partitions (11P82)

Related Items (10)

Reciprocity laws for Dedekind cotangent sums ⋮ Alternative evaluation of a ln tan integral arising in quantum field theory ⋮ Arithmetic of higher dimensional Dedekind-Rademacher sums ⋮ Dedekind-Carlitz polynomials as lattice-point enumerators in rational polyhedra ⋮ The limiting distribution of the trace of a random plane partition ⋮ Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform ⋮ Partitions with Parts in a Finite Set and with Parts Outside a Finite Set ⋮ Quantum Barnes function as the partition function of the resolved conifold ⋮ Estimating the asymptotics of solid partitions ⋮ Explicit evaluations and reciprocity theorems for finite trigonometric sums

Cites Work

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• Hyperbolic manifolds and special values of Dedekind zeta-functions
• On the coefficients in the Hardy-Ramanujan-Rademacher formula for \(p(n)\)
• Determinants of Laplacians and Multiple Gamma Functions
• Exact values of some two-dimensional lattice sums
• Some Congruences for Partitions that are p -Cores
• ASYMPTOTIC PARTITION FORMULAE

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