Mean values of L-functions associated to elliptic, Fermat and other curves at the centre of the critical strip

DOI10.1016/0022-314X(79)90004-0zbMath0409.10029MaRDI QIDQ1258768

Carlo Viola, Dorian Goldfeld

Publication date: 1979

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Dirichlet SeriesMean Values of L-FunctionReal Primitive Dirichlet Characters

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35)

Related Items

Values of Dirichlet series associated with modular forms at the points \(s=1/2\), 1, Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli, Average values of \(L\)-series for real characters in function fields, On the Vanishing of TwistedL-Functions of Elliptic Curves, Some Conjectures on Elliptic Curves over Cyclotomic Fields, On the arithmetic of special values of L functions, A conditional determination of the average rank of elliptic curves, Values of L-series of modular forms at the center of the critical strip, Mean value of Dirichlet \(L\)-functions in the critical strip, Mean values of \(L\)-functions over function fields, The integral moments and ratios of quadratic Dirichlet \(L\)-functions over monic irreducible polynomials in \(\mathbb{F}_q [T\)], Mean values of biquadratic zeta functions, Mean value of the class number in function fields revisited, Analogues of the Gauss-Vinogradov formula on the critical line, Modular forms, Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series, Moments of quadratic Dirichlet \(L\)-functions over function fields

Cites Work

• The arithmetic of elliptic curves
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• On Character Sums and L -Series. II
• Jacobi Sums as "Grossencharaktere"
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