Add to ORKGWe improve the currently known lower bounds for the discriminant of a number field without assuming the generalized Riemann hypothesis. Our method does not perform computer searches. Instead, it exploits the hypothetical presence of zeros of the Dedekind zeta function of a number field off the critical line. Although we present our results for number fields of degrees 9 and 10, the method can be applied to any signature
In 2016 Astudillo, Diaz y Diaz and Friedman published sharp lower bounds for regulators of number fi...
AbstractWe give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number field...
16 pagesInternational audienceAssuming the Generalized Riemann Hypothesis, Bach has shown that one c...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
AbstractUnder the Generalized Riemann Hypothesis for the Dedekind zeta-function ζκ, we obtain a form...
In this paper we describe how to use the algorithmic methods provided by Hunter and Pohst in order t...
In general a bound on number theoretic invariants under the Generalized Riemann Hypothesis (GRH) for...
Minimal discriminants of number fields are presently known for 22 signatures. For 20 of these we giv...
AbstractThe root discriminant of a number field of degree n is the n th root of the absolute value o...
AbstractThe root discriminant of a number field of degree n is the n th root of the absolute value o...
Modern algebra is a ubiquitous topic within mathematics and has many large and interconnected branch...
We construct small models of number fields and deduce a better bound for the number of number fields...
AbstractA new method of determining algebraic number fields with discriminants of small absolute val...
International audienceBuilding on Stechkin and Kadiri's ideas we derive an explicit zero-free region...
International audienceBuilding on Stechkin and Kadiri's ideas we derive an explicit zero-free region...
In 2016 Astudillo, Diaz y Diaz and Friedman published sharp lower bounds for regulators of number fi...
AbstractWe give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number field...
16 pagesInternational audienceAssuming the Generalized Riemann Hypothesis, Bach has shown that one c...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
AbstractUnder the Generalized Riemann Hypothesis for the Dedekind zeta-function ζκ, we obtain a form...
In this paper we describe how to use the algorithmic methods provided by Hunter and Pohst in order t...
In general a bound on number theoretic invariants under the Generalized Riemann Hypothesis (GRH) for...
Minimal discriminants of number fields are presently known for 22 signatures. For 20 of these we giv...
AbstractThe root discriminant of a number field of degree n is the n th root of the absolute value o...
AbstractThe root discriminant of a number field of degree n is the n th root of the absolute value o...
Modern algebra is a ubiquitous topic within mathematics and has many large and interconnected branch...
We construct small models of number fields and deduce a better bound for the number of number fields...
AbstractA new method of determining algebraic number fields with discriminants of small absolute val...
International audienceBuilding on Stechkin and Kadiri's ideas we derive an explicit zero-free region...
International audienceBuilding on Stechkin and Kadiri's ideas we derive an explicit zero-free region...
In 2016 Astudillo, Diaz y Diaz and Friedman published sharp lower bounds for regulators of number fi...
AbstractWe give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number field...
16 pagesInternational audienceAssuming the Generalized Riemann Hypothesis, Bach has shown that one c...