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Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes.

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Titel: Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes.
Autoren: Luo, Shu1 (AUTHOR) shu.luo@mail.sdu.edu.cn, Lü, Guangshi1 (AUTHOR) gslv@sdu.edu.cn
Quelle: International Journal of Number Theory. Oct2025, Vol. 21 Issue 9, p2195-2216. 22p.
Schlagwörter: *MODULAR forms, *CUSP forms (Mathematics), *AUTOMORPHIC forms, *NONLINEAR analysis, *FOURIER analysis
Abstract: Let f and g be holomorphic or Maass cusp forms for SL (2 , ℤ) with normalized Fourier coefficients λ f (n) and λ g (n) , respectively. In this paper, we study the non-linear additive twisted sum of GL (4) forms ∑ n ≤ N μ (n) λ f (n) λ g (n) e α n , where 0 < < 1 / 2. Previously, GL (2) and GL (3) cases have been investigated extensively. [ABSTRACT FROM AUTHOR]
Datenbank: Academic Search Index
Beschreibung
Abstract:Let f and g be holomorphic or Maass cusp forms for SL (2 , ℤ) with normalized Fourier coefficients λ f (n) and λ g (n) , respectively. In this paper, we study the non-linear additive twisted sum of GL (4) forms ∑ n ≤ N μ (n) λ f (n) λ g (n) e α n , where 0 < < 1 / 2. Previously, GL (2) and GL (3) cases have been investigated extensively. [ABSTRACT FROM AUTHOR]
ISSN:17930421
DOI:10.1142/S1793042125501076