A relation between Fourier coefficients of holomorphic cusp forms and exponential sums
Publications de l'Institut Mathématique, _N_S_86 (2009) no. 100, p. 97
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We consider certain specific exponential sums related to holomorphic cusp forms,give a reformulation for the Lehmer conjecture andprove that certain exponential sums of Fourier coefficients of holomorphic cusp formscontain information on other similar non-overlapping exponential sums.Also, we prove an Omega result for short sums of Fourier coefficients.
@article{10_2298_PIM0900097E,
author = {Anne-Maria Ernvall-Hyt\"onen},
title = {A relation between {Fourier} coefficients of holomorphic cusp forms and exponential sums},
journal = {Publications de l'Institut Math\'ematique},
pages = {97 },
publisher = {mathdoc},
volume = {_N_S_86},
number = {100},
year = {2009},
doi = {10.2298/PIM0900097E},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0900097E/}
}
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%0 Journal Article %A Anne-Maria Ernvall-Hytönen %T A relation between Fourier coefficients of holomorphic cusp forms and exponential sums %J Publications de l'Institut Mathématique %D 2009 %P 97 %V _N_S_86 %N 100 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2298/PIM0900097E/ %R 10.2298/PIM0900097E %G en %F 10_2298_PIM0900097E
Anne-Maria Ernvall-Hytönen. A relation between Fourier coefficients of holomorphic cusp forms and exponential sums. Publications de l'Institut Mathématique, _N_S_86 (2009) no. 100, p. 97 . doi: 10.2298/PIM0900097E
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