On the Voronoĭ formula for GL( n )

Atsushi Ichino, Nicolas Templier

Type: Article

Publication Date: 2013-02-01

Citations: 34

DOI: https://doi.org/10.1353/ajm.2013.0005

View Publication

Locations

American Journal of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	The Voronoi formula on GL(3) with ramification	2018	Zhou Fan
+	The Voronoi Formula for GL(n, R)	2008	D. Goldfeld X. Li
+	On $p$-adic $L$-functions for symplectic representations of GL(N) over number fields	2023	Chris Williams
+	$L$-functions of ${\mathrm{GL}}(2n):$ $p$-adic properties and non-vanishing of twists	2018	Mladen Dimitrov Fabian Januszewski A. Raghuram
+	A new zero-free region for Rankin-Selberg $L$-functions	2023	Gergely Harcos Jesse Thorner
+	Voronoi summation formulae on GL(n)	2015	Zhou Fan
+	Vorono\"{i} summation via switching cusps.	2019	Edgar Assing Andrew Corbett
+ PDF Chat	The Voronoi formula and double Dirichlet series	2016	Eren Mehmet Kıral Zhou Fan
+	Summation Formulas, from Poisson and Voronoi to the Present	2003	Stephen D. Miller Wilfried Schmid
+	Voronoï summation via switching cusps	2019	Edgar Assing Anne Corbett
+	A Spectral reciprocity formula and non-vanishing for L-functions on GL(4)xGL(2)	2017	Valentin Blomer Xiaoqing Li Stephen D. Miller
+	A Spectral reciprocity formula and non-vanishing for L-functions on GL(4)xGL(2)	2017	Valentin Blomer Xiaoqing Li Stephen D. Miller
+	P-adic L-functions for GL(3)	2021	David A. Loeffler Chris Williams
+	Voronoï summation for half-integral weight automorphic forms	2020	Edgar Assing Anne Corbett
+	Towards a $\mathrm{GL}_n$ variant of the Hoheisel phenomenon	2020	Peter Humphries Jesse Thorner
+	P-adic L-functions for GL(3)	2021	David Loeffler Chris Williams
+ PDF Chat	Rationality for isobaric automorphic representations: the CM-case	2018	Harald Grobner
+	On $p$-adic $L$-functions for $GL_{2n}$ in finite slope Shalika families	2021	Daniel Barrera Salazar Mladen Dimitrov Chris Williams
+	<i>L</i>-functions of GL<sub>2<i>n</i></sub>: <i>p</i>-adic properties and non-vanishing of twists	2020	Mladen Dimitrov Fabian Januszewski A. Raghuram
+	Linnik-type problems for automorphic L-functions; Problemes de type Linnik pour les fonctions L de formes automorphes	2009	Yan Qu

Works That Cite This (31)

Action	Title	Year	Authors
+ PDF Chat	Voronoï Summation for Half-Integral Weight Automorphic Forms	2021	Edgar Assing Andrew Corbett
+ PDF Chat	The Balanced Voronoi Formulas for $\textrm{GL}(n)$	2017	Stephen D. Miller Zhou Fan
+	A Voronoi–Oppenheim summation formula for totally real number fields	2018	Debika Banerjee Ehud Moshe Baruch Evgeny Tenetov
+	Bessel functions for GL 2	2014	James Cogdell
+	Voronoi summation formulae on GL(n)	2015	Zhou Fan
+	The Voronoi formula on GL(3) with ramification	2018	Zhou Fan
+	A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight	2023	Olga Balkanova Dmitry Frolenkov
+	Subconvexity for $L$-Functions on $\mathrm{GL}_3$ over Number Fields	2020	Zhi Qi
+ PDF Chat	Certain Fourier operators and their associated Poisson summation formulae on GL1	2023	Dihua Jiang Zhilin Luo
+ PDF Chat	Fourier coefficients of GL(N) automorphic forms in arithmetic progressions	2014	Emmanuel Kowalski Guillaume Ricotta

Works Cited by This (27)

Action	Title	Year	Authors
+	Fourier Analysis on Local Fields.	2016	Mitchell Taibleson
+	Automorphic Forms and L-Functions for the Group Gl(n, R)	2006	Dorian Goldfeld
+ PDF Chat	Bounds for $\rGL(3) \times \rGL(2)$ $\rL$-functions and $\rGL(3)$ $\rL$-functions	2011	Xiaoqing Li
+ PDF Chat	Uniform approximate functional equation for principal L-functions	2002	Gergely Harcos
+	Kloosterman Sets in Reductive Groups	1998	Romuald Dąbrowski Mark Reeder
+	On Euler Products and the Classification of Automorphic Representations I	1981	H. Jacquet J. A. Shalika
+	A quadratic divisor problem	1994	William Duke John Friedlander Henryk Iwaniec
+	Voronoi formulas on GL(n)	2006	Dorian Goldfeld X. Li
+ PDF Chat	Spectra of hyperbolic surfaces	2003	Peter Sarnak
+	Conducteur des repr�sentations du groupe lin�aire	1981	H. Jacquet Ilya Piatetski-Shapiro J. A. Shalika