Special L-values and Selmer groups of Siegel modular forms of genus 2

Xiaoyu Zhang

Type: Preprint

Publication Date: 2018-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.1811.02031

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Non-vanishing of twists of $\text{GL}_4(\mathbb{A}_{\mathbb{Q}})$ $L$-functions	2023	Maksym Radziwiłł Liyang Yang
+	A new zero-free region for Rankin-Selberg $L$-functions	2023	Gergely Harcos Jesse Thorner
+ PDF Chat	An exceptional Siegel–Weil formula and poles of the Spin L-function of	2020	Wee Teck Gan Gordan Savin
+ PDF Chat	The completed standard L-function of modular forms on $$G_2$$	2022	Fatma Çi̇çek Giuliana P. Davidoff Sarah Dijols Trajan Hammonds Aaron Pollack Manami Roy
+	Modular forms on $G_2$ and their standard $L$-function	2018	Aaron Pollack
+	The completed standard $L$-function of modular forms on $G_2$	2021	Fatma Çiçek Giuliana P. Davidoff Sarah Dijols Trajan Hammonds Aaron Pollack Manami Roy
+	Quaternion orders, Siegel modular forms, and the Spin $L$-function on $\mathrm{GSp}_6$	2015	Aaron Pollack
+	Integral representation and critical $L$-values for holomorphic forms on $GSp_{2n} \times GL_1$	2017	Ameya Pitale Abhishek Saha Ralf Schmidt
+	The special values of the standard $L$-functions for $\mathrm{GSp}_{2n} \times \mathrm{GL}_1$	2021	Shuji Horinaga Ameya Pitale Abhishek Saha Ralf Schmidt
+ PDF Chat	The spin -function on for Siegel modular forms	2017	Aaron Pollack
+	The special values of the standard $L$-functions for $\mathrm{GSp}_{2n} \times \mathrm{GL}_1$	2021	Shuji Horinaga Ameya Pitale Abhishek Saha Ralf Schmidt
+	Cuspidal components of Siegel modular forms for large discrete series representations of $$\textrm{Sp}_4({\mathbb {R}})$$	2023	Shuji Horinaga Hiro-aki Narita
+ PDF Chat	$p$-adic $L$-functions for $P$-ordinary Hida families on unitary groups	2024	David Marcil
+ PDF Chat	Rationality results for the exterior and the symmetric square L-function (with an appendix by Nadir Matringe)	2017	Harald Grobner
+	On the Special Values of Certain L-Series Related to Half-Integral Weight Modular Forms	2014	Hidenori Katsurada
+	Special values of $p$-adic $L$-functions and Iwasawa $λ$-invariants of Dirichlet characters	2024	Heiko Knospe
+	$L$-functions of ${\mathrm{GL}}(2n):$ $p$-adic properties and non-vanishing of twists	2018	Mladen Dimitrov Fabian Januszewski A. Raghuram
+	A Bombieri-Vinogradov theorem for higher rank groups	2021	Yujiao Jiang Guangshi Lü Jesse Thorner Zihao Wang
+	A note on simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass $L$-functions	2016	Qingfeng Sun
+ PDF Chat	A two variable Rankin-Selberg integral for $\mathrm{GU}(2,2)$ and the degree 5 $L$-function of $\mathrm{GSp}_4$	2024	Antonio Cauchi Armando Gutierrez Terradillos

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	SYMMETRIC POWER CONGRUENCE IDEALS AND SELMER GROUPS	2018	Haruzo Hida Jacques Tilouine
+	Higher Hida theory and p-adic L-functions for GSp(4)	2019	David Loeffler Vincent Pilloni Christopher Skinner Sarah Livia Zerbes

Works Cited by This (5)

Action	Title	Year	Authors
+ PDF Chat	Saito–Kurokawa lifts and applications to the Bloch–Kato conjecture	2007	Jim Brown
+	Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups	2009	Wee Teck Gan Benedict H. Gross Dipendra Prasad
+	On the Bloch-Kato conjecture for the Asai L-function	2015	Tobias Berger
+	Modularity lifting theorems for ordinary Galois representations	2018	David Geraghty
+	The Endoscopic Classification of Representations	2013	James Arthur