Ernvall-Hytönen, Anne-Maria A relation betwen Fourier coefficients of holomorphic cusp forms and exponential sums. (English) Zbl 1279.11083 Publ. Inst. Math., Nouv. Sér. 86(100), 97-105 (2009). Summary: 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 non-overlapping exponential sums. Also, we prove an Omega result for short sums of Fourier coefficients. Cited in 1 ReviewCited in 2 Documents MSC: 11L07 Estimates on exponential sums 11F11 Holomorphic modular forms of integral weight 11F30 Fourier coefficients of automorphic forms PDFBibTeX XMLCite \textit{A.-M. Ernvall-Hytönen}, Publ. Inst. Math., Nouv. Sér. 86(100), 97--105 (2009; Zbl 1279.11083) Full Text: DOI