The vanishing order of certain Hecke L-functions of imaginary quadratic fields

Chunlei Liu, Lanju Xu

Type: Article

Publication Date: 2004-05-29

Citations: 9

DOI: https://doi.org/10.1016/j.jnt.2004.04.007

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Locations

Journal of Number Theory - View

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Works That Cite This (9)

Action	Title	Year	Authors
+ PDF Chat	A nonsplit sum of coefficients of modular forms	2011	Nicolas Templier
+	Nonvanishing of Hecke L-functions and the Bloch–Kato conjecture	2010	Byoung Du Kim Riad Masri Tong Hai Yang
+	Quantitative Nonvanishing of L-Series Associated to Canonical Hecke Characters	2007	Riad Masri
+	Asymptotics for Sums of Central Values of Canonical Hecke L-Series	2007	Riad Masri
+	Some heuristics about elliptic curves	2006	Mark E. Watkins
+	Nonvanishing of Hecke $L$-functions and Bloch–Kato $p$-Selmer groups	2019	Arianna Iannuzzi Byoung Du Kim Riad Masri Alexander Mathers Maria Ross Wei‐Lun Tsai
+ PDF Chat	Some Heuristics about Elliptic Curves	2008	Mark E. Watkins
+ PDF Chat	Effective nonvanishing of canonical Hecke $L$-functions	2010	George Boxer Peter Diao
+	ON ASYMPTOTIC VALUES OF CANONICAL QUADRATIC L-FUNCTIONS	2010	Nicolas Templier

Works Cited by This (12)

Action	Title	Year	Authors
+	Heights of Heegner cycles and derivatives of L-series	1997	Shou-Wu Zhang
+ PDF Chat	Non-vanishing of the Central Derivative of Canonical Hecke L-functions	2000	Stephen D. Miller Tonghai Yang
+	On Character Sums and <i>L</i> -Series. II	1963	D. A. Burgess
+	Galois conjugacy of unramified twists of Hecke characters	1980	David E. Rohrlich
+	Central values of Hecke L-functions of CM number fields	1999	Fernando Rodríguez Villegas Tonghai Yang
+	The non-vanishing of certain Hecke L-functions at the center of the critical strip	1980	David E. Rohrlich
+	On the L-functions of canonical Hecke characters of imaginary quadratic fields, II	1982	Hugh L. Montgomery David E. Rohrlich
+ PDF Chat	Arithmetic on Elliptic Curves with Complex Multiplication	1980	Benedict H. Gross
+ PDF Chat	Nonvanishing of central Hecke L-values and rank of certain elliptic curves	1999	Tonghai Yang
+ PDF Chat	On CM abelian varieties over imaginary quadratic fields	2004	Tonghai Yang