We prove a large sieve type inequality for Maass forms and holomorphic cusp forms with level greater or equal to one and of integral or half-integral weight in short interval.
Nous démontrons une inégalité du type grand crible pour les formes de Maass et les formes cuspidales holomorphes de niveau au moins un et de poids entier ou demi-entier dans un petit intervalle.
@article{JTNB_2014__26_3_757_0,
author = {Jonathan Wing Chung Lam},
title = {A local large sieve inequality for cusp forms},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {757--787},
publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
volume = {26},
number = {3},
year = {2014},
doi = {10.5802/jtnb.887},
mrnumber = {3320500},
language = {en},
url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.887/}
}
TY - JOUR AU - Jonathan Wing Chung Lam TI - A local large sieve inequality for cusp forms JO - Journal de théorie des nombres de Bordeaux PY - 2014 SP - 757 EP - 787 VL - 26 IS - 3 PB - Société Arithmétique de Bordeaux UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.887/ DO - 10.5802/jtnb.887 LA - en ID - JTNB_2014__26_3_757_0 ER -
%0 Journal Article %A Jonathan Wing Chung Lam %T A local large sieve inequality for cusp forms %J Journal de théorie des nombres de Bordeaux %D 2014 %P 757-787 %V 26 %N 3 %I Société Arithmétique de Bordeaux %U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.887/ %R 10.5802/jtnb.887 %G en %F JTNB_2014__26_3_757_0
Jonathan Wing Chung Lam. A local large sieve inequality for cusp forms. Journal de théorie des nombres de Bordeaux, Volume 26 (2014) no. 3, pp. 757-787. doi : 10.5802/jtnb.887. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.887/
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