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20232026
most citedLimiting behaviour and modular completions of MacMahon-like q-series

1 citations · 1 across the 11 of their papers we have counts for

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Showing 2024 · math.NTShow all

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math.NT2024

Iterated integrals and cohomology

Kathrin Bringmann, Nikolaos Diamantis

We introduce an extension of the standard cohomology which is characterised by maps that fail to be classical cocycles by products of simpler maps. The construction is motivated by…

math.NT2024

Traces of partition Eisenstein series and almost holomorphic modular forms

Kathrin Bringmann, Badri Vishal Pandey

Recently, Amderberhan, Griffin, Ono, and Singh started the study of "traces of partition Eisenstein series" and used it to give explicit formulas for many interesting functions. In…

math.NT2024

Precision Asymptotics for Partitions Featuring False-Indefinite Theta Functions

Kathrin Bringmann, William Craig, Caner Nazaroglu

Andrews-Dyson-Hickerson, Cohen build a striking relation between q-hypergeometric series, real quadratic fields, and Maass forms. Thanks to the works of Lewis-Zagier and Zwegers we…

math.NT2024★ 1 cited

Limiting behaviour and modular completions of MacMahon-like q-series

Kathrin Bringmann, William Craig, Jan-Willem van Ittersum +1

Recently, MacMahon's generalized sum-of-divisor functions were shown to link partitions, quasimodular forms, and q-multiple zeta values. In this paper, we explore many further prop…

math.NT2024

Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions

Kathrin Bringmann, Jan-Willem van Ittersum, Jonas Kaszian

We study certain algebras of theta-like functions on partitions, for which the corresponding generating functions give rise to theta functions, quasi-Jacobi forms, Appell-Lerch sum…