Petits zéros de fonctions {$L$} de formes modulaires

Abstract : We study the density conjecture of Katz and Sarnak about the zeros of the L functions of modular forms on the critical strip. We introduce new families of modular forms carcterized by the eigenvalues of the Atkin-Lehner operators. We prove that these families satisfy a weak form of the density conjecture.
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https://hal.archives-ouvertes.fr/hal-00138540
Contributor : Emmanuel Royer <>
Submitted on : Monday, March 26, 2007 - 5:59:44 PM
Last modification on : Thursday, January 11, 2018 - 6:12:18 AM

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Emmanuel Royer. Petits zéros de fonctions {$L$} de formes modulaires. Acta Arithmetica, Instytut Matematyczny PAN, 2001, 99 (2), pp.147--172. ⟨hal-00138540⟩

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