Cover Image

Representations of integers as sums of four polygonal numbers and partial theta functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bringmann, Kathrin, Jang, Min-Joo, Kane, Ben, Tse, Cheuk Hin Alvin
Format:	Preprint
Published:	2021
Subjects:	Number Theory 11F11, 11F37, 11E45
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Sums of generalized polygonal numbers of almost prime "length"
by: Banerjee, Soumyarup, et al.
Published: (2024)

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

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

Universal sums of generalized polygonal numbers of almost prime length
by: Banerjee, Soumyarup, et al.
Published: (2026)

Proof of a conjecture of Andrews and Bachraoui on a Hecke sum
by: Banerjee, Koustav, et al.
Published: (2026)

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

Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions
by: Bringmann, Kathrin, 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)

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

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

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

The bias conjecture for elliptic curves over finite fields and Hurwitz class numbers in arithmetic progressions
by: Kane, Ben, et al.
Published: (2024)

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

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

Unimodal sequences and mixed false theta functions
by: Allen, Kevin, et al.
Published: (2024)

Traces of partition Eisenstein series and almost holomorphic modular forms
by: Bringmann, Kathrin, et al.
Published: (2024)

Shimura lift of Rankin-Cohen brackets of eigenforms and theta series
by: Wang, Wei
Published: (2024)

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

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

Extreme values of $L$-functions of newforms
by: Gun, Sanoli, et al.
Published: (2024)

A modular framework for generalized Hurwitz class numbers III
by: Mono, Andreas
Published: (2025)

A unified approach to Rohrlich-type divisor sums
by: Jeon, Daeyeol, et al.
Published: (2024)

Locally harmonic Maaß forms of positive even weight
by: Mono, Andreas
Published: (2021)

Asymptotics of partition parts in arithmetic progressions
by: Bringmann, Kathrin, et al.
Published: (2025)

Moment of derivatives of L-functions for two distinct newforms
by: Choi, Seokhyun, et al.
Published: (2024)

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

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

Analogue of Ramanujan's function $k(τ)$ for the continued fraction $X(τ)$ of order six
by: Guadalupe, Russelle, et al.
Published: (2023)

Uniform bounds for Kloosterman sums of half-integral weight with applications
by: Sun, Qihang
Published: (2023)

The Fourier coefficients and singular moduli of the elliptic modular function $j(τ)$, revisited
by: Matsusaka, Toshiki
Published: (2025)

Sums of Hurwitz class numbers, CM modular forms, and primes of the form $x^2+ny^2$
by: Zindulka, Mikuláš
Published: (2024)

Ramanujan's continued fractions of order $10$ as modular functions
by: Aricheta, Victor Manuel, et al.
Published: (2024)

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

First moment of Hecke eigenvalues at the integers represented by binary quadratic forms
by: Pandey, Manish Kumar, et al.
Published: (2024)

Sums of four polygonal numbers: precise formulas
by: Li, Jialin, et al.
Published: (2024)

Twisted L-functions over number fields and Hilbert's eleventh problem
by: Blomer, Valentin, et al.
Published: (2009)

Symmetric square type $L$-series
by: Metzler, Ingmar
Published: (2025)

A modular framework for generalized Hurwitz class numbers II
by: Beckwith, Olivia, et al.
Published: (2024)

Twisted first moment of quadratic and quadratic twist $L$-functions
by: Gao, Peng, et al.
Published: (2023)

Certain squarefree levels of reducible modular mod$\,\ell$ Galois representations
by: Kumar, Arvind, et al.
Published: (2024)