Selberg's orthogonality conjecture for automorphic L -functions
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Publication:5693530
DOI10.1353/ajm.2005.0029zbMath1114.11047OpenAlexW1971396447WikidataQ122873015 ScholiaQ122873015MaRDI QIDQ5693530
Publication date: 26 September 2005
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1353/ajm.2005.0029
Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Zeros of combinations of Euler products for \(\sigma > 1\) ⋮ Summing Hecke eigenvalues over polynomials ⋮ On the density of zeros of linear combinations of Euler products for \(\sigma>1\) ⋮ The prime number theorem and hypothesis H with lower-order terms ⋮ Correlation of zeros of automorphic \(L\) -functions ⋮ Asymptotic free probability for arithmetic functions and factorization of Dirichlet series ⋮ Lower bound for higher moments of the mixed product of twisted \(L\)-functions ⋮ Hypothesis H and the prime number theorem for automorphic representations ⋮ Prime number theorems for Rankin-Selberg \(L\)-functions over number fields ⋮ Moments of products of automorphic \(L\)-functions ⋮ Fractional moments of automorphic \(L\)-functions on \(\mathrm{GL}(m)\) ⋮ Value distribution of \(L^\prime(\rho)\) ⋮ The generalized prime number theorem for automorphic \(L\)-functions ⋮ FACTORIZATION OF AUTOMORPHIC L-FUNCTIONS AND THEIR ZERO STATISTICS ⋮ A proof of Selberg's orthogonality for automorphic \(L\)-functions ⋮ On a Rankin-Selberg \(L\)-function over different fields ⋮ Moments of \(L\)-functions attached to the twist of modular form by Dirichlet characters ⋮ Gaps between zeros of \(\mathrm{GL}(2)\) \(L\)-functions ⋮ Strong orthogonality between the Möbius function, additive characters and Fourier coefficients of cusp forms
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