Exponential sums related to Maass forms by

被引:4
作者
Jaasaari, Jesse [1 ]
Vesalainen, Esa V. [2 ]
机构
[1] Univ Helsinki, Dept Math & Stat, POB 68 Gustaf Hallstromin Katu 2b, FIN-00014 Helsinki, Finland
[2] Abo Akad Univ, Math & Stat, Domkyrkotorget 1, Turku 20500, Finland
基金
芬兰科学院;
关键词
exponential sums; Fourier coefficients of cusp forms; Voronoi summation formula; APPROXIMATE FUNCTIONAL-EQUATION; RIEMANN ZETA-FUNCTION; FOURIER COEFFICIENTS; ADDITIVE TWISTS; SQUARE;
D O I
10.4064/aa8447-9-2018
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:1 / 48
页数:48
相关论文
共 52 条
[1]  
[Anonymous], 2002, GRAD STUD MATH
[2]   DECOUPLING, EXPONENTIAL SUMS AND THE RIEMANN ZETA FUNCTION [J].
Bourgain, J. .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 30 (01) :205-224
[3]   On two sentences by Herr G.H Hardy [J].
Cramer, H .
MATHEMATISCHE ZEITSCHRIFT, 1922, 15 :201-210
[4]  
Deligne P., 1974, I HAUTES ETUDES SCI, V43, P273, DOI 10.1007/BF02684373
[5]   ZEROS OF L-FUNCTIONS ATTACHED TO MAASS FORMS [J].
EPSTEIN, C ;
HAFNER, JL ;
SARNAK, P .
MATHEMATISCHE ZEITSCHRIFT, 1985, 190 (01) :113-128
[6]   ON THE ERROR TERM IN THE APPROXIMATE FUNCTIONAL EQUATION FOR EXPONENTIAL SUMS RELATED TO CUSP FORMS [J].
Ernvall-Hytoenen, Anne-Maria .
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2008, 4 (05) :747-756
[7]  
Ernvall-Hytonen A.-M., 2009, SIAULIAI MATH SEMIN, V4, P75
[8]  
Ernvall-Hytonen An.-M., COMMUNICATION
[9]   On Short Exponential Sums Involving Fourier Coefficients of Holomorphic Cusp Forms [J].
Ernvall-Hytonen, Anne-Maria ;
Karppinen, Kimmo .
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
[10]   Resonances and Ω-results for exponential sums related to Maass forms for SL(n, Z) [J].
Ernvall-Hytonen, Anne-Maria ;
Jaasaari, Jesse ;
Vesalainen, Esa V. .
JOURNAL OF NUMBER THEORY, 2015, 153 :135-157