The 2-adic valuations of the algebraic central L-values for quadratic twists of weight 2 newforms
Abstract
Let f be a normalized newform of weight 2 on Γ0(N) whose coefficients lie in Q and let χM be a primitive quadratic Dirichlet character with conductor M. Under mild assumptions on M, we give a sharp lower bound for the 2-adic valuation of the algebraic part of the L-value L(f,χM,1) and evaluate the 2-adic valuation for infinitely many M.
Fields of Study & Subjects
Advanced Algebra and Geometry
Analytic Number Theory Research
Advanced Mathematical Identities
Publication details
- Journal / source
- Acta Arithmetica
- Publication date
- 9 March 2026
- Language
- EN