On a class of functions that satisfies explicit formulae involving the Möbius function
type: Item
instance of: scholarly article
title: On a class of functions that satisfies explicit formulae involving the Möbius function
zbMATH Open document ID: 1382.11056
author: Patrick Kühn
author: Nicolas Robles
author: Arindam Roy
published in: The Ramanujan Journal
publication date: 2015-11-09T00:00:00Z
full work available at URL: 11139 2014 Article 9608.pdf
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 6505954
zbMATH Keywords: explicit formulae
zbMATH Keywords: Möbius function
zbMATH Keywords: Selberg class
zbMATH Keywords: \(L\)-functions
zbMATH Keywords: Riemann zeta-function
zbMATH Keywords: Hankel transformations
zbMATH Keywords: special functions
MaRDI profile type: Publication
OpenAlex ID: W2059258316
cites work: Q5693287
cites work: Q4149530
cites work: On some complex explicit formulae connected with the Mobius function. I
cites work: On some complex explicit formulae connected with the Mobius function. II
cites work: Identities Involving the Coefficients of a Class of Dirichlet Series. V
cites work: On the frequency of Titchmarsh's phenomenon for ζ(s). II
cites work: Real zeros of Dedekind zeta functions of real quadratic fields
cites work: On the Selberg class of Dirichlet series: Small degrees
cites work: Q5542212
cites work: Character analogues of Ramanujan-type integrals involving the Riemann \(\Xi \)-function
cites work: Analogues of the general theta transformation formula
cites work: Riesz-type criteria and theta transformation analogues
cites work: Ramanujan-Hardy-Littlewood-Riesz phenomena for Hecke forms
cites work: Q4074972
cites work: Q4760590
cites work: Q3220660
cites work: Q4830109
cites work: On the structure of the Selberg class. I: \(0\leq d\leq 1\).
cites work: On the structure of the Selberg class. V: \(1<d<5/3\)
cites work: On the structure of the Selberg class. VII: \(1<d<2\)
cites work: Zeroes of zeta functions and symmetry
cites work: Q4226082
cites work: Explicit formulas of a generalized Ramanujan sum
cites work: On the Distribution of Extreme Values of Zeta and L-Functions in the Strip 1/2 < < 1
cites work: On parabolic cylinder functions which are self-reciprocal in the Hankel transform
cites work: Q3213195
cites work: Extreme values of the Riemann zeta function
cites work: Q4261671
cites work: Explicit formulas for the pair correlation of zeros of functions in the Selberg class
cites work: Q4777828
cites work: Disproof of the Mertens conjecture.
cites work: On a function which is self-reciprocal in the Hankel transform
cites work: On the Frequency of Titchmarsh's Phenomenon for Ζ(S)
cites work: Q5766767
cites work: Zeros of principal \(L\)-functions and random matrix theory
cites work: Q3135199
cites work: Extreme values of zeta and \(L\)-functions
cites work: Q5769133
cites work: Q3735790
cites work: Q5815671
DOI: 10.1007/S11139-014-9608-1
description: scientific article; zbMATH DE number 6505954