Hecke Operators and the Nonvanishing of L—Functions

Conrey, J. B.; Farmer, D. W.

doi:10.1007/978-1-4613-0305-3_8

J. B. Conrey³ &
D. W. Farmer⁴

Part of the book series: Mathematics and Its Applications ((MAIA,volume 467))

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Abstract

We determine some conditions which imply the nonvanishing of L _f(k/2) for f a cusp form of weight k≡0 mod 4 for the full modular group. These conditions are verified for weights k ≤500.

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Authors and Affiliations

Department of Mathematics, Oklahoma State University, Stillwater, OK, 74078, USA
J. B. Conrey
Department of Mathematics, Bucknell University, Lewisburg, PA, 17837, USA
D. W. Farmer

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J. B. Conrey
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D. W. Farmer
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Editors and Affiliations

Department of Mathematics, Pennsylvania State University, University Park, PA, USA
Scott D. Ahlgren , George E. Andrews & Ken Ono , &

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Conrey, J.B., Farmer, D.W. (1999). Hecke Operators and the Nonvanishing of L—Functions. In: Ahlgren, S.D., Andrews, G.E., Ono, K. (eds) Topics in Number Theory. Mathematics and Its Applications, vol 467. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0305-3_8

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DOI: https://doi.org/10.1007/978-1-4613-0305-3_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7988-1
Online ISBN: 978-1-4613-0305-3
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