Cover Image

An Analogue of the Dedekind Eta Function for Hecke Groups $H(\sqrt{D})$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Basak, Debmalya, Goldfeld, Dorian, Heap, Winston, Robles, Nicolas, Zaharescu, Alexandru
Format:	Preprint
Published:	2025
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Exponential sums over Möbius convolutions with applications to partitions
by: Basak, Debmalya, et al.
Published: (2023)

Remarks on Landau-Siegel zeros
by: Basak, Debmalya, et al.
Published: (2024)

Almost all primes are not needed in Ternary Goldbach
by: Basak, Debmalya, et al.
Published: (2024)

The fourth moment of the Hurwitz zeta function
by: Heap, Winston, et al.
Published: (2024)

Non-vanishing and One Level Density for Dirichlet $L$-functions Along Short Averages
by: Basak, Debmalya
Published: (2024)

The twisted second moment of modular half integral weight $L$--functions
by: Dunn, Alexander, et al.
Published: (2019)

The shifted convolution L-function for Maass forms
by: Goldfeld, Dorian, et al.
Published: (2023)

On a Special Metric in Cyclotomic Fields
by: Saettone, Katerina, et al.
Published: (2024)

Filtered rays over iterated absolute differences on layers of integers
by: Bhat, Raghavendra N., et al.
Published: (2023)

Binomial coefficients with divisors avoiding an interval
by: Bui, Hung M., et al.
Published: (2026)

An Arithmetic Sum Associated with the Classical Theta Function
by: Berndt, Bruce C., et al.
Published: (2024)

More than five-twelfths of the zeros of $ζ$ are on the critical line
by: Pratt, Kyle, et al.
Published: (2018)

On the Composition of the Euler Function and the Dedekind Arithmetic Function
by: Guo, Aimin, et al.
Published: (2025)

A dichotomy for extreme values of zeta and Dirichlet L-functions
by: Bondarenko, Andriy, et al.
Published: (2023)

On the trajectories of a particle in a translation invariant involutive field
by: Cobeli, Cristian, et al.
Published: (2024)

Exponential sums twisted by general arithmetic functions
by: Dong, Anji, et al.
Published: (2024)

Multiplicativity of Fourier Coefficients of Maass Forms for SL($n,\mathbb Z$)
by: Goldfeld, Dorian, et al.
Published: (2025)

An Asymptotic Orthogonality Relation for ${\rm GL}(n, \mathbb R)$
by: Goldfeld, Dorian, et al.
Published: (2022)

Energy bounds for modular roots and their applications
by: Kerr, Bryce, et al.
Published: (2021)

On the Pair Correlation of Zeros of $L$-Functions for Non-CM Newforms in Shifted Ranges
by: Liu, Di, et al.
Published: (2024)

Strange and pseudo-differentiable functions with applications to prime partitions
by: Dong, Anji, et al.
Published: (2024)

Zeros of Polynomials in Derivatives of Automorphic $L$-functions
by: Dong, Anji, et al.
Published: (2025)

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

Evaluations and relations for finite trigonometric sums
by: Berndt, Bruce C., et al.
Published: (2024)

Pattern formation Statistics on Fermat Quotients
by: Cobeli, Cristian, et al.
Published: (2025)

Arithmetic Polygons and Sums of Consecutive Squares
by: Anderson, Jack, et al.
Published: (2024)

On non-holonomicity, transcendence and $p$-adic valuations
by: Cobeli, Cristian, et al.
Published: (2024)

The image of the generalized Dedekind sum
by: Knight, Evelyne S., et al.
Published: (2025)

Super-regular polytopes in cyclotomic hypercubes
by: Cobeli, Cristian, et al.
Published: (2024)

The Dedekind-Hasse Criterion in Quaternion Algebras
by: Cardoso, Adriana, et al.
Published: (2025)

On the Lucas and Lehmer sequences in Dedekind domains
by: Li, Xiumei, et al.
Published: (2020)

The density of the graph of elliptic Dedekind sums
by: Bartell, Stephen, et al.
Published: (2024)

On density of the zeros of Dedekind zeta-functions
by: Zhang, Wei
Published: (2022)

A statistical model for points expanding in higher dimensions while being tied to bijective involutions
by: Cobeli, Cristian, et al.
Published: (2026)

Distributions of Integral Points and Dedekind Zeta Values
by: Cai, Li, et al.
Published: (2025)

Dedekind sums, reciprocity, and non-arithmetic groups
by: Burrin, Claire
Published: (2018)

The $θ= \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functions
by: Dong, Anji, et al.
Published: (2026)

Density of subsets of squarefree elements in certain Dedekind domains
by: Shin, Eunju
Published: (2026)

Some reciprocity formulas for generalized Dedekind-Rademacher sums
by: He, Yuan, et al.
Published: (2023)

Murmurations of Hecke $L$-Functions of Imaginary Quadratic Fields
by: Wang, Zeyu
Published: (2025)