Some Siegel modular standard L-values, and Shafarevich–Tate groups

Neil Dummigan, Tomoyoshi Ibukiyama, Hidenori Katsurada

Type: Article

Publication Date: 2011-04-19

Citations: 21

DOI: https://doi.org/10.1016/j.jnt.2011.01.012

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Locations

Journal of Number Theory - View
Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University) - View - PDF

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+	An explicit formula for the Siegel series of a quadratic form over a non-archimedian local field	2016	Tamotsu Ikeda Hidenori Katsurada
+	Harder's conjecture I	2023	Hiraku Atobe Masataka Chida Tomoyoshi Ibukiyama Hidenori Katsurada Takuya Yamauchi
+ PDF Chat	Kurokawa–Mizumoto congruences and degree-8 L-values	2018	Neil Dummigan Bernhard Heim Angelo Rendina
+	Period of the Ikeda-Miyawaki lift	2024	Tomoyoshi Ibukiyama Hidenori Katsurada Hisashi Kojima
+	Congruences to Ikeda–Miyawaki lifts and triple L-values of elliptic modular forms	2013	Tomoyoshi Ibukiyama Hidenori Katsurada Cris Poor David S. Yuen
+ PDF Chat	Generic differential operators on Siegel modular forms and special polynomials	2020	Tomoyoshi Ibukiyama
+ PDF Chat	Congruence primes for automorphic forms on unitary groups and applications to the arithmetic of Ikeda lifts	2020	Jim Brown Krzysztof Klosin
+ PDF Chat	Siegel modular forms of degree three and the cohomology of local systems	2013	Jonas Bergström Carel Faber Gerard van der Geer
+ PDF Chat	$\protect \mathrm{GL}_2\times \protect \mathrm{GSp}_2$ $L$-values and Hecke eigenvalue congruences	2019	Jonas Bergström Neil Dummigan David W. Farmer S. Koutsoliotas
+	Yoshida lifts and Selmer groups	2012	Siegfried Böcherer Neil Dummigan Rainer Schulze‐Pillot

Works Cited by This (41)

Action	Title	Year	Authors
+	Automorphic forms with integral Fourier coefficients	1970	Walter L. Baily
+	Valeurs spéciales des fonctions $L$ des motifs	1992	Jean-Marc Fontaine
+	Congruence Between a Siegel and an Elliptic Modular Form	2008	Günter Harder
+	Degeneration of Abelian Varieties	1990	Герд Фалтингс Ching-Li Chai
+	Modular Forms and Galois Cohomology	2000	Haruzo Hida
+	The Theory of Jacobi Forms	1985	Martin Eichler Don Zagier
+	L-Functions and Tamagawa Numbers of Motives	2007	Spencer Bloch Kazuya Katô
+ PDF Chat	Saito–Kurokawa lifts and applications to the Bloch–Kato conjecture	2007	Jim Brown
+	Modular Forms on Schiermonnikoog	2008	Bas Edixhoven Bas Edixhoven Bas Edixhoven Siegfried Böcherer Kathrin Bringmann Jan Hendrik Bruinier Robin de Jong Luis Dieulefait Luis Dieulefait Bernhard Heim
+	Values ofL-series of modular forms at the center of the critical strip	1981	Winfried Kohnen Don Zagier