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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     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 },
     year = {2009},
     volume = {_N_S_86},
     number = {100},
     doi = {10.2298/PIM0900097E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0900097E/}
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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

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