On Hecke eigenvalues at primes of the form [g(n)]

• Autorzy: Stephan Baier , Liangyi Zhao
• Języki publikacji: EN

Abstrakty

EN

We study the average of the Fourier coefficients of a holomorphic cusp form for the full modular group at primes of the form [g(n)].

Kategorie tematyczne

• 11F30: Fourier coefficients of automorphic forms
• 11L03: Trigonometric and exponential sums, general
• 11F60: Hecke-Petersson operators, differential operators (several variables)
• 11L07: Estimates on exponential sums
• 11L20: Sums over primes
• 11F11: Holomorphic modular forms of integral weight

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 158
• Numer: 4
• Strony: 341-357

Daty

wydano

2013

Twórcy

autor

Stephan Baier

• Mathematisches Institut, Universität Göttingen, Bunsenstr. 3-5, 37073 Göttingen, Germany

autor

Liangyi Zhao

• Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371

Identyfikatory

DOI

10.4064/aa158-4-3