On the structure of the Selberg class, VI: non-linear twists

DOI10.4064/aa116-4-2zbMath1082.11055OpenAlexW2315375812MaRDI QIDQ4677362

Jerzy Kaczorowski, Alberto Perelli

Publication date: 20 May 2005

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa116-4-2

zbMATH Keywords

Riemann zeta function\(L\)-functionsDirichlet serieshypergeometric functionBarnes integral

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (28)

Analytic monoids and factorization problems ⋮ Twists and resonance of \(L\)-functions. I. ⋮ General $\Omega $-theorems for coefficients of $L$-functions ⋮ Converse theorems: from the Riemann zeta function to the Selberg class ⋮ Classification of \(L\)-functions of degree 2 and conductor 1 ⋮ On the functional properties of Bessel zeta-functions ⋮ Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\) ⋮ Forbidden conductors of $L$-functions and continued fractions of particular form ⋮ Spectral square moments of a resonance sum for Maass forms ⋮ Analytic twists of GL2×GL2$\rm GL_2\times \rm GL_2$ automorphic forms ⋮ Non-linear twists of \(L\)-functions: a survey ⋮ On the structure of the Selberg class. VII: \(1<d<2\) ⋮ ON THE STANDARD TWIST OF THE -FUNCTIONS OF HALF-INTEGRAL WEIGHT CUSP FORMS ⋮ Exponential sums involving automorphic forms for \(\mathrm{GL}(3)\) over arithmetic progressions ⋮ SOLVING LINEAR EQUATIONS IN L-FUNCTIONS ⋮ Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions ⋮ On a Hecke-type functional equation with conductor \(q=5\) ⋮ Exponential sums involving Maass forms ⋮ A Note on Bessel Twists of L-Functions ⋮ Resonance sums for Rankin-Selberg products of \(\mathrm{SL}_m(\mathbb{Z})\) Maass cusp forms ⋮ On a generalization of the Euler totient function ⋮ On the Rankin–Selberg convolution of degree 2 functions from the extended Selberg class ⋮ Some generating functions of the Riemann zeta function ⋮ Resonance of automorphic forms for 𝐺𝐿(3) ⋮ On the linear twist of degree \(1\) functions in the extended Selberg class ⋮ The exponential-type generating function of the Riemann zeta-function revisited ⋮ On the absolute convergence of automorphic Dirichlet series ⋮ The standard twist of $L$-functions revisited

This page was built for publication: On the structure of the Selberg class, VI: non-linear twists