On the coefficients of triple product \(L\)-functions

DOI10.1216/RMJ-2017-47-2-553zbMath1430.11058OpenAlexW2605613462MaRDI QIDQ527044

Ayyadurai Sankaranarayanan, Guangshi Lü

Publication date: 16 May 2017

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1492502550

zbMATH Keywords

Dirichlet seriesPerron's formulaFourier coefficients of automorphic formstriple product \(L\)-function

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

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Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms, A note on the cancellations of sums involving Hecke eigenvalues, The second moment of the Fourier coefficients of triple product \(L\)-functions, On the average behavior of coefficients related to triple product \(L\)-functions, The three-dimensional divisor problems related to cusp form coefficients, On the tetra, penta, hexa, hepta and octa product \(L\)-functions, Unnamed Item, Divisor problems related to Hecke eigenvalues in three dimensions