Effective nonvanishing of canonical Hecke L-functions
- Autores: George Boxer, Peter Diao
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 3891-3897
- Idioma: inglés
- DOI: 10.1090/s0002-9939-2010-10430-6
- Enlaces
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Resumen
Motivated by work of Gross, Rohrlich, and more recently Kim, Masri, and Yang, we investigate the nonvanishing of central values of -functions of ``canonical'' weight Hecke characters for , where is prime. Using the work of Rodriguez-Villegas and Zagier, we show that there are nonvanishing central values provided that and . Moreover, we show that the number of such satisfies
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