Multiple Dirichlet series and shifted convolutions

DOI10.1016/j.jnt.2015.10.001zbMath1404.11060arXiv1110.4868OpenAlexW1912920415WikidataQ60120968 ScholiaQ60120968MaRDI QIDQ898827

Andre Reznikov, Thomas A. Hulse, Jeffrey Hoffstein

Publication date: 21 December 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4868

zbMATH Keywords

subconvexity boundssecond moments\(L\)-functions of automorphic formsshifted convolutions

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (19)

Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition ⋮ The Laplace transform of the second moment in the Gauss circle problem ⋮ Subconvexity for half integral weight \(L\)-functions ⋮ Multiple Dirichlet series and shifted convolutions ⋮ Shifted convolution \(L\)-series values for elliptic curves ⋮ Counting square discriminants ⋮ Asymptotic bounds for special values of shifted convolution Dirichlet series ⋮ Triple correlation sums of coefficients of cusp forms ⋮ On products of Fourier coefficients of cusp forms ⋮ First moments of Rankin-Selberg convolutions of automorphic forms on \(\mathrm{GL}(2)\) ⋮ SECOND MOMENTS IN THE GENERALIZED GAUSS CIRCLE PROBLEM ⋮ Hybrid bounds on twisted \(L\)-functions associated with modular forms ⋮ Sign changes of coefficients and sums of coefficients of \(L\)-functions ⋮ The adjoint map of the Serre derivative and special values of shifted Dirichlet series ⋮ $p$-adic properties of modular shifted convolution Dirichlet series ⋮ The second moment of sums of coefficients of cusp forms ⋮ Short-interval averages of sums of Fourier coefficients of cusp forms ⋮ Preface ⋮ OPPOSITE‐SIGN KLOOSTERMAN SUM ZETA FUNCTION

Cites Work

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