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.NT2025
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.NT2019
Conditional upper bound for the k-th prime ideal with given Artin symbol
Loïc Grenié, Giuseppe Molteni
We prove an explicit upper bound for the k-th prime ideal with fixed Artin symbol, under the assumption of the validity of the Riemann hypothesis for the Dedekind zeta functions.