Non-vanishing of the symmetric square L -function at the central point

DOI10.1112/plms/pdp048zbMath1244.11052arXiv0803.1870OpenAlexW3099754940MaRDI QIDQ3560949

Rizwanur Khan

Publication date: 17 May 2010

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1870

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (19)

Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point ⋮ Mollification and non-vanishing of automorphic \(L\)-functions on \(\mathrm{GL}(3)\) ⋮ Nonvanishing of central \(L\)-values of Maass forms ⋮ Central value of the symmetric square \(L\)-functions related to Hecke-Maass forms ⋮ Moments of moments of primes in arithmetic progressions ⋮ MOMENTS AND HYBRID SUBCONVEXITY FOR SYMMETRIC-SQUARE L-FUNCTIONS ⋮ Small‐scale equidistribution of Hecke eigenforms at infinity ⋮ The first moment of central values of symmetric square $L$-functions of cusp forms ⋮ A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) ‐FUNCTIONS ⋮ On the fourth moment of holomorphic Hecke cusp forms ⋮ The mean value of symmetric square \(L\)-functions ⋮ On central \(L\)-derivative values of automorphic forms ⋮ EULER–HADAMARD PRODUCTS AND POWER MOMENTS OF SYMMETRIC SQUARE L-FUNCTIONS ⋮ TWISTS OF AUTOMORPHIC L-FUNCTIONS AT THE CENTRAL POINT ⋮ Non-vanishing of Maass form symmetric square \(L\)-functions ⋮ Non-vanishing of the derivative of \(L\)-functions at the central point ⋮ The second moment of the central values of the symmetric square \(L\)-functions ⋮ Super-positivity of a family of L-functions ⋮ Central values of the symmetric square $L$-functions

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