Nonvanishing of $L$-Series and the combinatorial sieve

Jeffrey Hoffstein, Wenzhi Luo

Type: Article

Publication Date: 1997-01-01

Citations: 17

DOI: https://doi.org/10.4310/mrl.1997.v4.n3.a12

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Mathematical Research Letters - View - PDF

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+ PDF Chat	Extreme central L-values of almost prime quadratic twists of elliptic curves	2023	Shenghao Hua Bingrong Huang
+ PDF Chat	On the proportion of rank 0 twists of elliptic curves	2008	Andrzej Dąbrowski
+	Non-trivial Zeroes for Quadratic Twists of Hasse–Weil L-Functions	1999	Jorge Jiménez Urroz
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+	On ranks of quadratic twists of a Mordell curve	2022	Abhishek Juyal Dustin Moody Bidisha Roy
+ PDF Chat	ON POSITIVE PROPORTION OF RANK-ZERO TWISTS OF ELLIPTIC CURVES OVER	2014	Maosheng Xiong
+	Elements of class groups and Shafarevich-Tate groups of elliptic curves	2003	Antal Balog Ken Ono
+ PDF Chat	Elliptic curves with large Tate-Shafarevich groups over a number field	2009	Kazuo Matsuno
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Works Cited by This (8)

Action	Title	Year	Authors
+	On the positivity of the central critical values of automorphic L-functions for GL(2)	1996	Jiandong Guo
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger
+	Newforms and functional equations	1975	Wen Ch ing Winnie Li
+	Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung	1936	E. Hecke
+	Nonvanishing Theorems for Automorphic L-Functions on GL(2)	1995	Solomon Friedberg Jeffrey Hoffstein
+ PDF Chat	On the order of vanishing of modular $L$-functions at the critical point	1990	Henryk Iwaniec
+ PDF Chat	None	1997	Ken Ono
+ PDF Chat	Twists of Elliptic Curves	2017	Max Kronberg Muhammad Afzal Soomro Jaap Top