Let λ f (n) and λ g (n) be the normalized n th-Fourier coefficient of distinct Hecke eigenforms f
and g of integral weight for the full modular group, respectively, and Q (x ̲) is a primitive …

In the article, we consider a question concerning the estimation of summatory function of the
Fourier coefficients of Hecke eigenforms indexed by a sparse set of integers. In particular …

Let f∈ S k (Γ 0 (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 {λ …

We establish the asymptotics of the second moment of the coefficient of j-th symmetric
poower lift of classical Hecke eigenforms over certain polynomials, given by a sum of …

In the article, we investigate the average behaviour of normalised Hecke eigenvalues over
certain polynomials and establish an estimate for the power moments of the normalised …

Let f be a normalized Hecke eigenform of weight k for the full modular group SL 2 (ℤ). In this
paper, we obtain the asymptotic of higher moments of general divisor functions associated to …