Oscillations of Fourier coefficients over the sparse set of integers
Article Type
Research Article
Publication Title
Monatshefte Fur Mathematik
Abstract
Let f∈Sk(Γ0(N)) be a normalized Hecke eigenforms of integral weight k and level N≥1. In the article, we establish the asymptotics of power moment associated to the sequences {λf⊗f⊗f(Q(x̲))}Q∈SD,x̲∈Z2 and {λf⊗sym2f(Q(x̲))}Q∈SD,x̲∈Z2 where SD denotes the set of inequivalent primitive integral positive-definite binary quadratic forms (reduced forms) of fixed discriminant D<0. As a consequence, we prove results concerning the behaviour of sign changes associated to these sequences.
First Page
601
Last Page
623
DOI
10.1007/s00605-024-01989-5
Publication Date
7-1-2024
Recommended Citation
Vaishya, Lalit, "Oscillations of Fourier coefficients over the sparse set of integers" (2024). Journal Articles. 4974.
https://digitalcommons.isical.ac.in/journal-articles/4974