M. Nastasescu

collaborators

3 papers

math.NT2023

The Riemann zeta function and exact exponential sum identities of divisor functions

Maria Nastasescu, Nicolas Robles, Bogdan Stoica +1

We prove an explicit integral formula for computing the product of two shifted Riemann zeta functions everywhere in the complex plane. We show that this formula implies the existen…

math.NT2023

A visual perspective on the Birch and Swinnerton-Dyer conjecture through a family of approximations of $L$ -functions

Maria Nastasescu, Bogdan Stoica, Alexandru Zaharescu

We investigate the properties of a family of approximations of the Hasse-Weil $L$ -function associated to an elliptic curve $E$ over $Q$ . We give a precise expression for t…

math.NT2020

First moments of Rankin-Selberg convolution of Automorphic Forms on $G L (2)$

Jeff Hoffstein, Min Lee, Maria Nastasescu

We obtain a first moment formula for Rankin-Selberg convolution $L$ -series of holomorphic modular forms or Maass forms of arbitrary level on $G L (2)$ , with an orthonormal basis of M…

The Riemann zeta function and exact exponential sum identities of divisor functions

A visual perspective on the Birch and Swinnerton-Dyer conjecture through a family of approximations of L-functions

First moments of Rankin-Selberg convolution of Automorphic Forms on GL(2)

A visual perspective on the Birch and Swinnerton-Dyer conjecture through a family of approximations of $L$ -functions

First moments of Rankin-Selberg convolution of Automorphic Forms on $G L (2)$