The second moment of quadratic twists of modular L-functions

• Autores: Kannan Soundararajan, Matthew P. Young
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 12, Nº 5, 2010, págs. 1097-1116
• Idioma: inglés
• DOI: 10.4171/jems/224
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• Resumen

  • We study the second moment of the central values of quadratic twists of a modular L-function. Unconditionally, we obtain a lower bound which matches the conjectured asymptotic formula, while on GRH we prove the asymptotic formula itself.