Non-trivial zeroes for quadratic twists of Hasse-Weil \(L\)-functions

DOI10.1006/jnth.1999.2391zbMath0999.11029OpenAlexW2031608652MaRDI QIDQ1125411

Jorge Jiménez-Urroz

Publication date: 27 September 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2391

zbMATH Keywords

Mordell-Weil grouplower boundsnumber of fundamental discriminantsquadratic twistsHasse-Weil \(L\)-functionsrank of elliptic curves over \({\mathbb Q}\)sieve techniques

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

Heegner zeros of theta functions

Cites Work

• Non-vanishing of quadratic twists of modular \(L\)-functions
• Nonvanishing of \(L\)-series and the combinatorial sieve. With an appendix by David E. Rohrlich: Unboundedness of the Tate-Shafarevich group in families of quadratic twists
• Averages of twisted elliptic L-functions
• On Ranks of Twists of Elliptic Curves and Power-Free Values of Binary Forms
• The Square-Free Sieve and the Rank of Elliptic Curves
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