<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present paper we present the equivalence between the combinatorial determination of the sign repartition for the quadratic residues and non-residues to the computation of the class number of certain quadratic extensions of the field of rationals.</p></abstract>

In the present paper we present the equivalence between the combinatorial determination of the sign repartition for the quadratic residues and non-residues to the computation of the class number of certain quadratic extensions of the field of rationals.

Combinatorics on Finite Fields: the Sign Repartition for the Quadratic Residues

Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit 5, P.O. Box 1-764, Bucharest 014700, Romania

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Combinatorics on Finite Fields: the Sign Repartition for the Quadratic Residues"}

In the present paper we present the equivalence between the combinatorial determination of the sign repartition for the quadratic residues and non-residues to...

Combinatorics on Finite Fields: the Sign Repartition for the Quadratic Residues

Published Online: Dec 10, 2014

Page range: 41 - 44

Received: Oct 01, 2013

Accepted: Dec 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0004

Keywords
quadratic residues, quadratic fields, class numbers

© 2014 Şerban Bărcănescu

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Combinatorics on Finite Fields: the Sign Repartition for the Quadratic Residues

Published Online: Dec 10, 2014

Page range: 41 - 44

Received: Oct 01, 2013

Accepted: Dec 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0004

Keywordsquadratic residues, quadratic fields, class numbers

© 2014 Şerban Bărcănescu

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
quadratic residues, quadratic fields, class numbers