Publications de l'Institut Mathématique, Nouvelle Série Vol. 86(100), pp. 97–105 (2009) 

A RELATION BETWEEN FOURIER COEFFICIENTS OF HOLOMORPHIC CUSP FORMS AND EXPONENTIAL SUMSAnneMaria ErnvallHytönenDepartment of Mathematics, University of Turku, Turku, FinlandAbstract: We consider certain specific exponential sums related to holomorphic cusp forms, give a reformulation for the Lehmer conjecture and prove that certain exponential sums of Fourier coefficients of holomorphic cusp forms contain information on other similar nonoverlapping exponential sums. Also, we prove an Omega result for short sums of Fourier coefficients. Classification (MSC2000): 11L07; 11F11, 11F30 Full text of the article: (for faster download, first choose a mirror)
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