Image de couverture de livre

Sums of two squares and the tau-function: Ramanujan's trail

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Berndt, Bruce C., Moree, Pieter
Format:	Preprint
Publié:	2024
Sujets:	Number Theory
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Landau and Ramanujan approximations for divisor sums and coefficients of cusp forms
par: Ciolan, Alexandru, et autres
Publié: (2021)

Prime values of Ramanujan's tau function
par: Xiong, Boyuan
Publié: (2023)

Cubic and quintic analogues of Ramanujan's septic theta function identity
par: Berndt, Bruce C., et autres
Publié: (2023)

Euler constants from primes in arithmetic progression
par: Languasco, Alessandro, et autres
Publié: (2024)

Euler-Kronecker constants of modular forms: beyond Dirichlet $L$-series
par: Charlton, Steven, et autres
Publié: (2024)

On some values which do not belong to the image of Ramanujan's tau-function
par: Goto, Akihiro
Publié: (2024)

Sum of two squares in biquadratic fields
par: Huang, Wenhuan
Publié: (2024)

Sum of two squares in cyclic quartic fields
par: Huang, Wenhuan
Publié: (2023)

An Arithmetic Sum Associated with the Classical Theta Function
par: Berndt, Bruce C., et autres
Publié: (2024)

The Rogers--Ramanujan continued fraction
par: Berndt, Bruce C., et autres
Publié: (2025)

Representation of Ramanujan's tau function by twisted divisor functions
par: Ni, Tianyu
Publié: (2026)

Rogers-Ramanujan Type Identities Involving Double Sums
par: Chen, Dandan, et autres
Publié: (2024)

Sums of two squares are strongly biased towards quadratic residues
par: Gorodetsky, Ofir
Publié: (2021)

Identities for the product of Two Dirichlet Series Satisfying Hecke's Functional Equation
par: Berndt, Bruce C., et autres
Publié: (2024)

Pair Correlation of zeros of Dirichlet $L$-Functions: A possible path towards the conjectures of Chowla, Elliott-Halberstam and Montgomery
par: Kandhil, Neelam, et autres
Publié: (2024)

Counting ideals in abelian number fields
par: Languasco, Alessandro, et autres
Publié: (2025)

Sums of square roots that are close to an integer
par: Steinerberger, Stefan
Publié: (2024)

Sums of squares and sequences of modular forms
par: Kalmynin, Alexander
Publié: (2024)

New proofs of two identities of Ramanujan
par: Morton, Patrick
Publié: (2023)

Proof of the Lehmer conjecture on Ramanujan's $τ$ function
par: Shi, Minjia, et autres
Publié: (2025)

Sequences of integers generated by two fixed primes
par: Languasco, Alessandro, et autres
Publié: (2023)

ABC implies that Ramanujan's tau function misses almost all primes
par: Angdinata, David Kurniadi, et autres
Publié: (2026)

Transcendental formulas for the coefficients of Ramanujan's mock theta functions
par: Andersen, Nickolas, et autres
Publié: (2025)

Sums of Kloosterman sums over square-free and smooth integers
par: Shao, Xuancheng, et autres
Publié: (2024)

An Algebraic Generalization of the Ramanujan Sum
par: Kiran, N. Uday
Publié: (2024)

A trigonometric approach to an identity by Ramanujan
par: Vignat, C.
Publié: (2026)

Ramanujan's function on small primes
par: Brent, Barry
Publié: (2025)

The distribution of the multiplicative index of algebraic numbers over residue classes
par: Moree, Pieter, et autres
Publié: (2023)

Consecutive runs of sums of two squares
par: Kimmel, Noam, et autres
Publié: (2023)

The second moment of Ramanujan sums
par: Ziwei, Hong, et autres
Publié: (2025)

On Ramanujan's cubic continued fraction
par: Akkarapakam, Sushmanth J., et autres
Publié: (2023)

The Brauer-Siegel ratio for prime cyclotomic fields
par: Kandhil, Neelam, et autres
Publié: (2024)

Sums of squares of k-term forms
par: Goel, Charu, et autres
Publié: (2024)

Sums related to Euler's totient function
par: Radomskii, Artyom
Publié: (2024)

On the multiplicative pair correlations of sums of two squares
par: Parkkonen, Jouni, et autres
Publié: (2026)

Reciprocal Hyperbolic Series of Ramanujan Type
par: Xu, Ce, et autres
Publié: (2018)

On Ramanujan smooth expansions for a general arithmetic function
par: Coppola, Giovanni
Publié: (2024)

Moments of Averages of Ramanujan Sums over Number Fields
par: Chaubey, Sneha, et autres
Publié: (2024)

Short proofs of Ramanujan-like identities for the eighth order mock theta function $V_{0}(q)$
par: Mortenson, Eric T.
Publié: (2023)

Lambda-invariants of Mazur--Tate elements attached to Ramanujan's tau function and congruences with Eisenstein series
par: Doyon, Anthony, et autres
Publié: (2022)