8 citations · 24 across the 8 of their papers we have counts for
10 papers
Strong subconvexity for self-dual -functions
Yongxiao Lin, Ramon Nunes, Zhi Qi
In this paper, we prove strong subconvexity bounds for self-dual -functions in the -aspect and for -functions in the…
Moments of the distribution of -free numbers in short intervals and arithmetic progressions
Ramon M. Nunes
We show estimates for the distribution of -free numbers in short intervals and arithmetic progressions. We argue that, at least in certain ranges, these estimates agree with a c…
Spectral reciprocity via integral representations
Ramon M. Nunes
We prove a spectral reciprocity formula for automorphic forms on over a number field that is remininscent of the one found by Blomer and Khan. Our approach uses pe…
The twelfth moment of Dirichlet -functions with smooth moduli
Ramon M. Nunes
We prove an analogue of Heath-Brown's bound on the twelfth moment of the Riemann zeta function for Dirichlet L-functions with smooth moduli.
Subconvexity for L-functions
Ramon M. Nunes
We improve on the subconvexity bound for self-dual -functions in the -aspect. Previous results were obtained by Li and by Mckee, Sun and Ye.
A Note on the least squarefree number in an arithmetic progression
Ramon M. Nunes
We prove an asymptotic formula for squarefree in arithmetic progressions with squarefree moduli, improving previous results by Prachar. The main tool is an estimate for counting so…
Squarefree integers in large arithmetic progressions
Ramon M. Nunes
We show that the exponent of distribution of the sequence of squarefree numbers in arithmetic progressions of prime modulus is , improving a result of Prachar from…
On two conjectures concerning squarefree numbers in arithmetic progressions
Ramon M. Nunes
We prove upper bounds for the error term of the distribution of squarefree numbers up to in arithmetic progressions modulo making progress towards two well-known conjecture…
On Bourgain's bound for short exponential sums and squarefree numbers
Ramon M. Nunes
We use Bourgain's recent bound for short exponential sums to prove certain independence results related to the distribution of squarefree numbers in arithmetic progressions.
Square-free numbers in arithmetic progressions
Ramon M. Nunes
We give asymptotics for correlation sums linked with the distribution of squarefree numbers in arithmetic progressions over a fixed modulus. As a particular case we improve a resul…