Abstract
A limit theorem in the sense of weak convergence of probability measures on the complex plane for twisted with Dirichlet character L-functions of holomorphic normalized Hecke eigen cusp forms with an increasing modulus of the character is proved.
Highlights
Let q ∈ N, and let χ(m) denote a Dirichlet character modulo q
The aim of this note is a generalization to the space (C, B(C)) of limit theorems with an increasing prime modulus q for |L(s, F, χ)| and arg L(s, F, χ)
Substituting this in (5), we find that aτ,k(m) ms
Summary
Let q ∈ N, and let χ(m) denote a Dirichlet character modulo q. A. Kolupayeva where χ0 denotes the principal character mod q. Where in place of dots a condition satisfied by a pair (q, χ(mod q)) is to be written. The aim of this note is a generalization to the space (C, B(C)) of limit theorems with an increasing prime modulus q for |L(s, F, χ)| and arg L(s, F, χ) (see, [3] and [4], respectively).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.