Nonvanishing of \(L\)-series associated to cubic twists of elliptic curves

DOI10.2307/2118541zbMath0817.11029OpenAlexW1995730847MaRDI QIDQ1341978

Daniel B. Lieman

Publication date: 9 February 1995

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2118541

zbMATH Keywords

Eisenstein seriesFourier coefficientsRankin-Selberg convolutionfinitely many rational pointscubic metaplectic form

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (15)

Mean square values of Hecke \(L\)-series formed with \(r\)-th order characters ⋮ On a Rankin-Selberg convolution of two variables for Siegel modular forms ⋮ Cube sums of the forms \(3p\) and \(3p^2\) ⋮ Cube sum problem for integers having exactly two distinct prime factors ⋮ On some applications of automorphic forms to number theory ⋮ Mean values of \(L\)-functions over function fields ⋮ The \(GL(3)\) Rankin-Selberg convolution for functions not of rapid decay ⋮ L-series with nonzero central critical value ⋮ ON TWISTS OF THE FERMAT CUBIC x³ + y³ = 2 ⋮ Note on the rank of quadratic twists of Mordell equations ⋮ Uniqueness of Whittaker functionals on the metaplectic group ⋮ Unnamed Item ⋮ The \(GL(2)\) Rankin-Selberg method for functions not of rapid decay ⋮ Arithmetic on certain families of elliptic curves ⋮ On the non-vanishing of cubic twists of automorphic $L$-series

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