Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes

William Duke, Henryk Iwaniec

Type: Article

Publication Date: 1990-03-01

Citations: 42

DOI: https://doi.org/10.1007/bf01453602

View Publication

Locations

Mathematische Annalen - View

Similar Works

Action	Title	Year	Authors
+	On products of Fourier coefficients of half-integral weight cusp forms	2024	Abhishek Juyal Manish Kumar Pandey
+	Kloosterman sums and Fourier coefficients of cusp forms	1982	Jean-Marc Deshouillérs Henryk Iwaniec
+	Exponential sums of squares of Fourier coefficients of cusp forms	2020	Ratnadeep Acharya
+	On exponential sums involving Fourier coefficients of cusp forms over primes	2016	Fei Hou
+	Sums of k-th powers and Fourier coefficients of cusp forms	2022	Zhining Wei
+	Weight aspect exponential sums for Fourier coefficients of cusp forms	2022	Fei Hou
+	Fourier coefficients of cusp forms	1978	Roelof W. Bruggeman
+	Fourier coefficients of cusp forms	1999	Yiannis N. Petridis
+	Sums of powers of cusp form coefficients	1983	R. A. Rankin
+	Sums of Fourier coefficients of holomorphic cusp forms over integers without large prime factors	2022	Dan Wang
+	Sums of Fourier coefficients associated with Hecke cusp forms	2022	Guodong Hua
+	Bounds for the Fourier coefficients of cusp forms	1997	Henryk Iwaniec
+	Sums of Fourier coefficients of cusp forms of level D twisted by exponential functions	2016	Huan Liu
+	Estimates for fourier coefficients of cusp forms in weight aspect	2016	Hengcai Tang
+	Uniform estimates for sums of Fourier coefficients of cusp forms	2009	Guangshi Lü
+	Exponential sums over primes formed with coefficients of primitive cusp forms	2009	Hui Xue Lao
+	Exponential Sums over Primes Formed with Coefficients of Primitive Cusp Forms	2009	Hui Hui Xue Lao
+	OF HALF-INTEGRAL WEIGHT CUSP FORMS	2013	Jaban Meher M. Ram Murty
+	Congruences between cusp forms and eisenstein series of half-integral weight	1987	Jannis A. Antoniadis Winfried Kohnen
+	Estimates for fourier coefficients of siegel cusp forms	1997	Stefan Breulmann

Works That Cite This (40)

Action	Title	Year	Authors
+	Restriction of Coherent Hilbert Eisenstein series	2016	Yingkun Li
+ PDF Chat	Voronoï Summation for Half-Integral Weight Automorphic Forms	2021	Edgar Assing Andrew Corbett
+	New bounds for automorphic L-functions	2003	Gergely Harcos
+	Bounds for automorphic L-functions. III	2001	William Duke John Friedlander Henryk Iwaniec
+	Bounds for automorphicL-functions. II	1994	William Duke John Friedlander Henryk Iwaniec
+	Bounds for automorphicL-functions	1993	William Duke John Friedlander Henryk Iwaniec
+	On a variance of Hecke eigenvalues in arithmetic progressions	2012	Yuk-Kam Lau Lilu Zhao
+ PDF Chat	An additive problem in the Fourier coefficients of cusp forms	2003	Gergely Harcos
+ PDF Chat	Fourier coefficients of cusp forms of half-integral weight	2012	Winfried Kohnen Yuk-Kam Lau Jie Wu
+ PDF Chat	Shifted convolution of cusp-forms with $$\theta $$ θ -series	2015	Guangshi Lü Jie Wu Wenguang Zhai

Works Cited by This (5)

Action	Title	Year	Authors
+	Modular Forms and Functions	1977	R. A. Rankin
+	Mean Value Theorems in Prime Number Theory	1975	R. C. Vaughan
+	On the Mean Value of L(1/2, χ ) FW Real Characters	1981	Matti Jutila
+	The distribution of Kummer sums at prime arguments.	1979	D. R. Heath‐Brown S. J. Patterson
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura