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

Dorian Goldfeld, Carlo Viola

Type: Article

Publication Date: 1979-08-01

Citations: 43

DOI: https://doi.org/10.1016/0022-314x(79)90004-0

View Publication

Locations

Journal of Number Theory - View

Similar Works

Action	Title	Year	Authors
+	Mean value of Dirichlet L-functions in the critical strip	1992	Eugenijus Stankus
+	Mean values of the Riemann zeta-function on the critical line	1995	K.M. Tsang
+	Mean values of certain zeta-functions on the critical line	1990	A. Ivić Alberto Perelli
+	Values of L-functions at integers outside the critical strip	2007	YoungJu Choie Nikolaos Diamantis
+	The Mean Values of the Riemann Zeta-Function on the Critical Line	2014	Aleksandar Ivić
+	Value distribution of twists of L-functions of elliptic curves	2017	Antanas Laurinčikas Renata Macaitienė
+	Mean Values of Derivatives of Modular L-Series	1991	M. Ram Murty V. Kumar Murty
+	Moments of elliptic integrals and critical $$L$$ L -values	2014	Mathew D. Rogers J. G. Wan I. J. Zucker
+ PDF Chat	On quotients of derivatives of L-functions inside the critical strip	2024	Rashi Lunia
+	Mean moduli of L-functions	1971	Hugh L. Montgomery
+	Values ofL-series of modular forms at the center of the critical strip	1981	Winfried Kohnen Don Zagier
+	Hecke series values of holomorphic cusp forms in the centre of the critical strip	1999	V.A. Bykovsky
+	Special values of L-series attached to two families of CM elliptic curves	2001	邱德荣张贤科
+	Special values of L-functions of curves over finite fields	1992	L. Song
+	The mean values of the Dirichlet L-functions (Analytic Number Theory and Related Areas)	2017	Takuya Okamoto Tomokazu Onozuka
+	Mean values connected with the Dedekind zeta function	2008	O. M. Fomenko
+	Non-vanishing of L functions at the center of the critical strip	1998	Jeffrey M. VanderKam
+	Elliptic curves, modular forms, and their L-functions [book review]	2011	Juan Ramón Delgado Pérez
+	Mean-square values of the Riemann zeta function on arithmetic progressions	2024	Hirotaka Kobayashi
+	L-Function of an Elliptic Curve and Its Analytic Continuation	2006

Works That Cite This (43)

Action	Title	Year	Authors
+ PDF Chat	Integral moments of L-functions	2005	J. Brian Conrey D. W. Farmer Jonathan P. Keating MO Rubinstein N. C. Snaith
+ PDF Chat	Mean value of the class number in function fields revisited	2018	Julio Andrade Hwanyup Jung
+	Integral moments of L-functions	2002	J. Brian Conrey David W. Farmer Jonathan P. Keating Michael Rubinstein N. C. Snaith
+ PDF Chat	A conditional determination of the average rank of elliptic curves	2016	Daniel Fiorilli
+ PDF Chat	On the Vanishing of Twisted<i>L</i>-Functions of Elliptic Curves	2004	Chantal David Jack Fearnley Hershy Kisilevsky
+	Moments of quadratic Dirichlet L-functions over function fields	2022	Peng Gao Liangyi Zhao
+	Modular Elliptic Curves and Diophantine Problems	1990	Dorian Goldfeld
+	Mean Values ofL-Functions over Function Fields	1997	Shamita Dutta Gupta
+	Random matrices and<i>L</i>-functions	2003	Jonathan P. Keating N C Snaith
+	Average Values of $L$-series for Real Characters in Function Fields	2016	Julio Andrade Sunghan Bae Hwanyup Jung

Works Cited by This (7)

Action	Title	Year	Authors
+	The arithmetic of elliptic curves	1974	John Tate
+	�ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen	1967	Andr� Weil
+	On Character Sums and <i>L</i> -Series. II	1963	D. A. Burgess
+	ON FUNCTIONAL EQUATIONS OF DIRICHLET FUNCTIONS	1967	A. F. Lavrik
+	On the conjectures of Birch and Swinnerton-Dyer and a geometric analog	1966	John Tate
+	Algebraic cycles and poles of zeta functions	1965	John Tate
+	Eine neue Art von Zetafunktionen und ihre Beziehungen zur Verteilung der Primzahlen	1920	E. Hecke