Geodesic
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 .

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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.
DOI : 10.2298/PIM0900097E
Classification : 11L07 11F11 11F30 
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     title = {A relation between {Fourier} coefficients of holomorphic cusp forms and exponential sums},
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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. http://geodesic.mathdoc.fr/articles/10.2298/PIM0900097E/

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