On a sum involving Fourier coefficients of cusp forms

• Autores: A. Sankaranarayanan
• Localización: Lithuanian mathematical journal, ISSN 0363-1672, Vol. 46, Nº. 4, 2006, págs. 459-474
• Idioma: inglés
• DOI: 10.1007/s10986-006-0042-y
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• Resumen

  • We improve the existing upper bound for the quantity |? n?x a(n 2)|, where a(n 2) is the n 2th Hecke eigenvalue of a normalized holomorphic cusp form (Hecke eigenform) of the full modular group SL(2, Z), whenever the weight of the original holomorphic cusp form (Hecke eigenform) lies in a certain range.