Large sieve inequality with characters to square moduli
Oscillations of Hecke eigenvalues at shifted primes.
In this paper, we are interested in exploring the cancellation of Hecke eigenvalues twisted with an exponential sums whose amplitude is √n at prime arguments.
On Hecke eigenvalues at primes of the form [g(n)]
We study the average of the Fourier coefficients of a holomorphic cusp form for the full modular group at primes of the form [g(n)].
Bombieri-Vinogradov type theorems for sparse sets of moduli
Gaps between primes in Beatty sequences
We study the gaps between primes in Beatty sequences following the methods in the recent breakthrough by Maynard (2015).
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