Twists and resonance of \(L\)-functions. I.

DOI10.4171/JEMS/616zbMath1404.11107arXiv1304.4734OpenAlexW2744122437MaRDI QIDQ294204

Alberto Perelli, Jerzy Kaczorowski

Publication date: 9 June 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4734

zbMATH Keywords

\(L\)-functionsresonancetwistsSelberg class

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Other Dirichlet series and zeta functions (11M41)

Related Items (9)

Converse theorems: from the Riemann zeta function to the Selberg class ⋮ Internal twists of \(L\)-functions. II ⋮ Classification of \(L\)-functions of degree 2 and conductor 1 ⋮ Forbidden conductors of $L$-functions and continued fractions of particular form ⋮ ON THE STANDARD TWIST OF THE -FUNCTIONS OF HALF-INTEGRAL WEIGHT CUSP FORMS ⋮ On a Hecke-type functional equation with conductor \(q=5\) ⋮ Some generating functions of the Riemann zeta function ⋮ The exponential-type generating function of the Riemann zeta-function revisited ⋮ The standard twist of $L$-functions revisited

Cites Work

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• Non-linear twists of \(L\)-functions: a survey
• On the structure of the Selberg class. VII: \(1<d<2\)
• A uniform version of Stirling's formula
• Linear twists of \(L\)-functions of degree 2 from the Selberg class
• A survey of the Selberg class of \(L\)-functions. I
• On the Selberg class of Dirichlet series: Small degrees
• On the structure of the Selberg class. I: \(0\leq d\leq 1\).
• Twists, Euler products and a converse theorem for L-functions of degree 2
• Axiomatic Theory of L-Functions: the Selberg Class
• On the structure of the Selberg class, IV: basic invariants
• Twists and Resonance ofL‐Functions, II
• On the structure of the Selberg class, VI: non-linear twists

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