Maria Năstăsescu

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.NT2014

Determination of elliptic curves by their adjoint $p$ -adic $L$ -functions

Maria Monica Nastasescu

Fix $p$ an odd prime. Let $E$ be an elliptic curve over $Q$ with semistable reduction at $p$ . We show that the adjoint $p$ -adic $L$ -function of $E$ evaluated at infinitely…

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

Determination of elliptic curves by their adjoint p-adic L-functions

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

Determination of elliptic curves by their adjoint $p$ -adic $L$ -functions