Nicolas Robles

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20152024

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math.NT2018

Breaking the $\frac{1}{2}$ -barrier for the twisted second moment of Dirichlet $L$ -functions

H. M. Bui, Kyle Pratt, Nicolas Robles +1

We study the second moment of Dirichlet $L$ -functions to a large prime modulus $q$ twisted by the square of an arbitrary Dirichlet polynomial. We break the $\frac{1}{2}$ -barrier in…

math.NT2015

Koshliakov kernel and identities involving the Riemann zeta function

Atul Dixit, Nicolas Robles, Arindam Roy +1

Some integral identities involving the Riemann zeta function and functions reciprocal in a kernel involving the Bessel functions $J_{z} (x), Y_{z} (x)$ and $K_{z} (x)$ are studied. In…

Breaking the 21​-barrier for the twisted second moment of Dirichlet L-functions

Koshliakov kernel and identities involving the Riemann zeta function

Breaking the $\frac{1}{2}$ -barrier for the twisted second moment of Dirichlet $L$ -functions