An explicit trace formula of Jacquet–Zagier type for Hilbert modular forms

Shingo Sugiyama, Masao Tsuzuki

Type: Article

Publication Date: 2018-09-21

Citations: 6

DOI: https://doi.org/10.1016/j.jfa.2018.09.009

View Publication

Download PDF

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Relative trace formulas and subconvexity estimates of L-functions for Hilbert modular forms	2013	Shingo Sugiyama Masao Tsuzuki
+ PDF Chat	An asymptotic formula of spectral average of central $L$-values on ${\bf GSp}(2)$ for square free levels	2024	Seiji Kuga Masao Tsuzuki
+	Spectral average of central values of automorphic L-functions for holomorphic cusp forms on SO_0(m,2) II	2019	Masao Tsuzuki
+	Quantitative non-vanishing of central values of certain $L$-functions on ${\rm GL}(2)\times {\rm GL}(3)$	2018	Shingo Sugiyama Masao Tsuzuki
+	On the mean square of Hecke L-functions associated to holomorphic cusp forms (英文)	1999	Egami Shigeki Shigeki Egami
+ PDF Chat	On the non-vanishing of L-functions associated to cusp forms of half-integral weight	2019	Sonja Žunar
+ PDF Chat	Quantitative non-vanishing of central values of certain L-functions on $${{\text {GL}}}(2)\times {{\text {GL}}}(3)$$	2022	Shingo Sugiyama Masao Tsuzuki
+	On the standard twist of the L-functions of half-integral weight cusp forms and applications	2017	Jerzy Kaczorowski Alberto Perelli
+	Estimates of Hilbert modular cusp forms of half-integral and integral weight	2015	Anilatmaja Aryasomayajula
+ PDF Chat	On the average behavior of coefficients related to triple product $L$-functions	2022	Kampamolla Venkatasubbareddy Ayyadurai Sankaranarayanan
+	Congruences between Hilbert modular forms of weight $2$, and special values of their $L$-functions	2017	Yuichi Hirano
+	On Poincar\'e series of half-integral weight	2017	Sonja Žunar
+ 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
+	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
+	On the average behavior of coefficients related to triple product L-functions	2022	K Venkatasubbareddy Ayyadurai Sankaranarayanan
+	Estimates of Hilbert modular cusp forms of half-integral and integral weight	2015	Anilatmaja Aryasomayajula
+	Non-vanishing of $L$-functions associated to cusp forms of half-integral weight	2013	B. Ramakrishnan Karam Deo Shankhadhar
+	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
+	Non-Vanishing of Derivatives of L-Functions of Hilbert Modular Forms in The Critical Strip	2020	Alia Hamieh Wissam Raji
+	On Poincaré series of half-integral weight	2017	Sonja Žunar

Works That Cite This (6)

Action	Title	Year	Authors
+ PDF Chat	Weighted one-level density of low-lying zeros of Dirichlet L-functions	2022	Shingo Sugiyama Ade Irma Suriajaya
+ PDF Chat	Quantitative non-vanishing of central values of certain L-functions on $${{\text {GL}}}(2)\times {{\text {GL}}}(3)$$	2022	Shingo Sugiyama Masao Tsuzuki
+ PDF Chat	A quantum probabilistic approach to Hecke algebras for 𝔭-adic PGL2	2018	Takehiro Hasegawa Hayato Saigo Seiken Saito Shingo Sugiyama
+ PDF Chat	On Kuznetsov–Bykovskii’s formula of counting prime geodesics	2021	Giacomo Cherubini Han Wu Gergely Zábrádi
+	Quantitative non-vanishing of central values of certain $L$-functions on ${\rm GL}(2)\times {\rm GL}(3)$	2018	Shingo Sugiyama Masao Tsuzuki
+	Low-lying zeros of symmetric power $L$-functions weighted by symmetric square $L$-values	2021	Shingo Sugiyama

Works Cited by This (36)

Action	Title	Year	Authors
+	Spectral means of central values of automorphic L-functions for GL(2)	2015	正男都築
+	Advanced analytic number theory	1980	Carl Ludwig Siegel
+ PDF Chat	Nonvanishing of symmetric square $L$-functions of cusp forms inside the critical strip	1999	Winfried Kohnen Jyoti Sengupta
+ PDF Chat	Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝	1997	Jean-Pierre Serre
+	Formulas and Theorems for the Special Functions of Mathematical Physics	1966	Wilhelm Magnus Fritz Oberhettinger Raj Pal Soni
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger
+ PDF Chat	Dirichlet series constructed from periods of automorphic forms	2015	Yasuro Gon
+ PDF Chat	Relative trace formulas and subconvexity estimates for $L$-functions of Hilbert modular forms	2016	Shingo Sugiyama Masao Tsuzuki
+	Modular forms whose fourier coefficients involve zeta-functions of quadratic fields	1977	Don Zagier
+ PDF Chat	Shintani functions on $GL(2,{\mathbf {C}})$	2000	Miki Hirano