Geodesic
L-series with nonzero central critical value
James, Kevin 1
1 Department of Mathematics, Pennsylvania State University, 218 McAllister Building, University Park, Pennsylvania 16802-6401
Journal of the American Mathematical Society, Tome 11 (1998) no. 3, pp. 635-641 Cet article a éte moissonné depuis la source American Mathematical Society

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Given a cusp form $f$ of even integral weight and its associated $L$-function $L(f,s)$, we expect that a positive proportion of the quadratic twists of $L$ will have nonzero central critical value. In this paper we give examples of weight two newforms whose associated $L$-functions have the property that a positive proportion of its quadratic twists have nonzero central critical value.
DOI : 10.1090/S0894-0347-98-00263-X

James, Kevin  1

1 Department of Mathematics, Pennsylvania State University, 218 McAllister Building, University Park, Pennsylvania 16802-6401 
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James, Kevin. L-series with nonzero central critical value. Journal of the American Mathematical Society, Tome 11 (1998) no. 3, pp. 635-641. doi: 10.1090/S0894-0347-98-00263-X

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