The Rankin-Selberg method for non-holomorphic automorphic forms

DOI10.1006/jnth.1995.1035zbMath0840.11020OpenAlexW1994588108MaRDI QIDQ1804189

Yanyan Li

Publication date: 1 July 1996

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

Full work available at URL: https://doi.org/10.1006/jnth.1995.1035

zbMATH Keywords

Fuchsian groupFourier coefficientsasymptotic formulas for summatory functionRankin-Selberg convolution for \(\Gamma\)-automorphic formsRankin-Selberg zeta-functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Forms of half-integer weight; nonholomorphic modular forms (11F37) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fourier coefficients of automorphic forms (11F30) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (7)

Dirichlet series associated with square of class numbers of binary quadratic forms ⋮ On the distribution of integral points on cones ⋮ ON SUMS OF THREE SQUARES ⋮ Petersson scalar products and \(L\)-functions arising from modular forms ⋮ On the number of representations of integers by quaternary quadratic forms ⋮ Remark on the paper ``On products of Fourier coefficients of cusp forms ⋮ RANKIN–SELBERG CONVOLUTIONS OF NONCUSPIDAL HALF-INTEGRAL WEIGHT MAASS FORMS IN THE PLUS SPACE

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