Dirichlet density on sets of primes for linear combinations of Hecke eigenvalues

Dirichlet density on sets of primes for linear combinations of Hecke eigenvalues

Let f and g be two holomorphic cusp forms for the full modular group SL(2,Z). Denote by λf(n) and λg(n) the Hecke eigenvalue of f and g, respectively. In this paper, we are interested in Dirichlet density on sets of primes for linear combinations of λf(n) and λg(n).

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Veröffentlicht in:Scientia magna 2022-01, Vol.17 (1), p.45-53
Hauptverfasser: Zhu, He, Lao, Huixue
Format: Artikel
Sprache:eng
Schlagworte:
Density
Dirichlet problem
Eigenvalues
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Zusammenfassung:Let f and g be two holomorphic cusp forms for the full modular group SL(2,Z). Denote by λf(n) and λg(n) the Hecke eigenvalue of f and g, respectively. In this paper, we are interested in Dirichlet density on sets of primes for linear combinations of λf(n) and λg(n).
ISSN:1556-6706