collaborators

3 papers

math.NT2026

Explicit upper and lower bounds on certain functions related to for

Stephan Ramon Garcia, Loïc Grenié, Giuseppe Molteni

We provide explicit upper and lower bounds for certain commonly occurring expressions that involve the Riemann zeta function and its derivatives on . For example, this…

math.NT2026

Explicit conditional bounds for the residue of a Dedekind zeta-function at

Stephan Ramon Garcia, Loïc Grenié, Ethan Simpson Lee +1

We prove new explicit conditional bounds for the residue at of the Dedekind zeta-function associated to a number field. Our bounds are concrete and all constants are presente…

math.FA2025

A noncommutative generalization of Hunter's positivity theorem

Stephan Ramon Garcia, Jurij Volčič

Hunter proved that the complete homogeneous symmetric polynomials of even degree are positive definite. We prove a noncommutative generalization of this result, in which the scalar…