4 papers · 1 filter
Bounds for the residue of Dedekind zeta functions under GRH and applications
Stephan Ramon Garcia, Loïc Grenié, Ethan Simpson Lee +1
Let be the residue at of the Dedekind zeta function of a number field . We prove explicit upper and lower bounds for under the Gen…
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…
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…
Generalized Pohst inequality and small regulators
Francesco Battistoni, Giuseppe Molteni
Current methods for the classification of number fields with small regulator depend mainly on an upper bound for the discriminant, which can be improved by looking for the best pos…