S. Garcia

activity

20222026

collaborators

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2 papers · 1 filter

math.NT2025

Explicit conditional bounds for the residue of a Dedekind zeta-function at $s = 1$

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

We prove new explicit conditional bounds for the residue at $s = 1$ 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…

Explicit conditional bounds for the residue of a Dedekind zeta-function at s=1

A noncommutative generalization of Hunter's positivity theorem

Explicit conditional bounds for the residue of a Dedekind zeta-function at $s = 1$