Cover Image

Proof of a conjecture of Andrews and Bachraoui on a Hecke sum

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Banerjee, Koustav, Bringmann, Kathrin
Format:	Preprint
Published:	2026
Subjects:	Number Theory Combinatorics 11F11, 11F20, 11F37, 11P81
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On congruence conjectures of Andrews and Bachraoui
by: Banerjee, Koustav, et al.
Published: (2026)

Restricted Overpartitions and concave compositions: their modularity and asymptotics
by: Banerjee, Koustav, et al.
Published: (2026)

False and partial Eisenstein series related to unimodal sequences
by: Bringmann, Kathrin, et al.
Published: (2026)

Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions
by: Bringmann, Kathrin, et al.
Published: (2024)

Eisenstein-type series associated to partition ranks
by: Bringmann, Kathrin, et al.
Published: (2025)

Quasimodular forms arising from Jacobi's theta function and special symmetric polynomials
by: Amdeberhan, Tewodros, et al.
Published: (2025)

Periodic sign changes for weakly holomorphic $η$-quotients
by: Bringmann, Kathrin, et al.
Published: (2024)

On a conjecture of Andrews and Bachraoui
by: Banerjee, Koustav, et al.
Published: (2026)

Flipping operators and locally harmonic Maass forms
by: Bringmann, Kathrin, et al.
Published: (2025)

Modularity of moments of reciprocal sums for partitions into distinct parts
by: Bringmann, Kathrin, et al.
Published: (2025)

Improved asymptotics for moments of reciprocal sums for partitions into distinct parts
by: Bringmann, Kathrin, et al.
Published: (2024)

Quasimodularity and Limiting Behavior for Variations of MacMahon Series
by: Nazaroglu, Caner, et al.
Published: (2025)

Representations of integers as sums of four polygonal numbers and partial theta functions
by: Bringmann, Kathrin, et al.
Published: (2021)

Multiplicative Hecke operators and their applications
by: Kim, Chang Heon, et al.
Published: (2024)

Transformation properties of Andrews-Beck $NT$ functions and generalized Appell-Lerch series
by: Chen, Rong, et al.
Published: (2024)

Odd moments for the trace of Frobenius and the Sato--Tate conjecture in arithmetic progressions
by: Bringmann, Kathrin, et al.
Published: (2021)

On a generating function of Niebur-Poincaré series
by: Bringmann, Kathrin, et al.
Published: (2025)

Divisibility properties of weighted $k$ regular partitions
by: Banerjee, Debika, et al.
Published: (2025)

Euler-type recurrences for $t$-color and $t$-regular partition functions
by: Bhowmik, Tapas, et al.
Published: (2024)

Mock modular forms from the k-rank moments
by: Rausch, Kilian
Published: (2025)

Explicit images for the Shimura Correspondence
by: Boylan, Matthew, et al.
Published: (2025)

Rank deviations for overpartitions
by: Lovejoy, Jeremy, et al.
Published: (2023)

Generalized rank deviations for overpartitions
by: Allen, Kevin, et al.
Published: (2025)

Further study on MacMahon-type sums of divisors
by: Amdeberhan, Tewodros, et al.
Published: (2024)

Exact formulae for ranks of partitions
by: Sun, Qihang
Published: (2024)

On Rankin-Cohen Brackets of Hecke Eigenforms and Modular Forms of Half-Integral Weight
by: Choie, YoungJu, et al.
Published: (2024)

A modular framework for functions of Knopp and indefinite binary quadratic forms
by: Bringmann, Kathrin, et al.
Published: (2022)

Limiting behaviour and modular completions of MacMahon-like q-series
by: Bringmann, Kathrin, et al.
Published: (2024)

Hecke equivariance of the divisor map
by: Jeon, Daeyeol, et al.
Published: (2025)

Multiplicative congruences for Andrews's even parts below odd parts function and related infinite products
by: Garvan, Frank, et al.
Published: (2025)

Theta series of ternary quadratic lattice cosets
by: Kane, Ben, et al.
Published: (2022)

Modularity of counting functions of convex planar polygons with rationality conditions
by: Bringmann, Kathrin, et al.
Published: (2023)

Correspondence among congruence families for generalized Frobenius partitions via modular permutations
by: Chen, Rong, et al.
Published: (2025)

A converse theorem for Borcherds products in signature $(2,2)$
by: Bieker, Patrick, et al.
Published: (2024)

On the asymptotics of certain colored partitions
by: Mauth, Lukas
Published: (2024)

Quantum modular forms and Hecke operators
by: Lee, Seewoo
Published: (2017)

Hecke Relations for Eta Multipliers and Congruences of Higher-Order Smallest Parts Functions
by: Williams, Clayton
Published: (2024)

Hecke Equivariance of Divisor Lifting with respect to Sesquiharmonic Maass Forms
by: Jeon, Daeyeol, et al.
Published: (2024)

Köhler's Conjecture on Hecke Theta Series of Weight One
by: Kumar, Mahima, et al.
Published: (2026)

Sign changes in Fourier coefficients of the symmetric power $L$-functions on sums of two squares
by: Kaur, Amrinder
Published: (2025)