First moments of Fourier coefficients of GL(r) cusp forms

Dorian Goldfeld, Jyoti Sengupta

Type: Article

Publication Date: 2014-12-08

Citations: 7

DOI: https://doi.org/10.1016/j.jnt.2014.12.001

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Journal of Number Theory - View

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+	Estimates for coefficients of certain L-functions	2016	Guangshi Lü
+ PDF Chat	On sums involving Fourier coefficients of Maass forms for $\mathrm{SL}(3,\mathbb Z)$	2017	Jesse Jääsaari Esa V. Vesalainen
+ PDF Chat	On Short Sums Involving Fourier Coefficients of Maass Forms	2021	Jesse Jääsaari
+	On sums of Fourier coefficients of Maass cusp forms	2016	Yujiao Jiang Guangshi Lü
+	Moments of automorphic L-functions in the strip $$\frac{1}{2}<\sigma <1$$	2023	Yahui Yu Zhenping Li Jiayuan Hu
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Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Zeta Functions of Simple Algebras	1972	Roger Godement Hervé Jacquet
+	Automorphic Representations and L-Functions for the General Linear Group	2011	Dorian Goldfeld Joseph Hundley
+	On sums of Fourier coefficients of cusp forms	2003	Aleksandar Ivić
+	Functional Equations With Multiple Gamma Factors and the Average Order of Arithmetical Functions	1962	K. Chandrasekharan Raghavan Narasimhan
+	Uniform estimates for sums of Fourier coefficients of cusp forms	2009	Guangshi Lü
+ PDF Chat	On sums involving coefficients of automorphic $L$-functions	2009	Guangshi Lü
+ PDF Chat	Cancellation in additively twisted sums on GL(n)	2006	Stephen D. Miller
+	On Euler Products and the Classification of Automorphic Forms II	1981	H. Jacquet J. A. Shalika
+	SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS	2010	Yuk-Kam Lau Lu Gao
+	Contributions to the theory of Ramanujan's function τ(<i>n</i>) and similar arithmetical functions	1940	R. A. Rankin