The Lerch zeta function. IV: Hecke operators

DOI10.1186/s40687-016-0082-9zbMath1411.11081arXiv1511.08116OpenAlexW3099735667WikidataQ59477686 ScholiaQ59477686MaRDI QIDQ2374090

Jeffrey C. Lagarias, Wen-Ch'ing Winnie Li

Publication date: 14 December 2016

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08116

zbMATH Keywords

Hurwitz zeta functionfunctional equationLerch zeta function

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35)

Related Items (4)

The Lerch zeta function. III: Polylogarithms and special values ⋮ Bose-Einstein condensation for an exponential density of states function and Lerch zeta function ⋮ Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian ⋮ THE BOUNDARY LERCH ZETA-FUNCTION AND SHORT CHARACTER SUMS À LA Y. YAMAMOTO

Cites Work

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• The Lerch zeta function. III: Polylogarithms and special values
• GCD sums from Poisson integrals and systems of dilated functions
• Two complete and minimal systems associated with the zeros of the Riemann zeta function
• On systems of dilated functions
• On polylogarithms, Hurwitz zeta functions, and the Kubert identities
• On Nyman, Beurling and Baez-Duarte's Hilbert space reformulation of the Riemann hypothesis
• Distributions on toroidal groups
• Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
• A class of invariant unitary operators
• Dirac and Schrödinger equations for the Fourier transform.
• Hecke operators on \(\Gamma_0(m)\)
• A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis
• The Lerch zeta function I. Zeta integrals
• The Lerch zeta function II. Analytic continuation
• Über Operatoren Heckescher Art bei Modulformen reeller Dimension
• On the convergence of ∑𝑐_{𝑘}𝑓(𝑛_{𝑘}𝑥)
• The universal ordinary distribution
• The Riemann Zeros and Eigenvalue Asymptotics
• On Fourier and Zeta(s)
• Convergence of series of dilated functions and spectral norms of GCD matrices
• A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION
• An adelic causality problem related to abelian \(L\)-functions.

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