Class Numbers: Quadratic and Cyclotomic Fields - Couverture souple

Hoque, Azizul; Saikia, Helen K.

 
9783659878978: Class Numbers: Quadratic and Cyclotomic Fields
Couverture souple
ISBN 10 : 3659878979 ISBN 13 : 9783659878978
Editeur : LAP LAMBERT Academic Publishing, 2016

Synopsis

The class number problem of quadratic fields is one of the oldest problems in number theory. Now a days researchers expanding this problem in different directions not only for quadratic fields but also for other number fields. This monograph offers a clear, efficient and recent expositions of some aspects of class number problem of quadratic fields as well as cyclotomic fields. Topics include: fundamental concepts of number fields with special reference to quadratic and cyclotomic fields; class numbers of real, imaginary quadratic fields and cyclotomic; discriminant of quadratic fields. Some new topic: generalized Mersenne primes and their application in class number of quadratic fields; conjugate quadratic fields and their class numbers; equivalent quadratic fields and their class numbers. The monograph is suitable for graduate students and researchers.

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Présentation de l'éditeur

The class number problem of quadratic fields is one of the oldest problems in number theory. Now a days researchers expanding this problem in different directions not only for quadratic fields but also for other number fields. This monograph offers a clear, efficient and recent expositions of some aspects of class number problem of quadratic fields as well as cyclotomic fields. Topics include: fundamental concepts of number fields with special reference to quadratic and cyclotomic fields; class numbers of real, imaginary quadratic fields and cyclotomic; discriminant of quadratic fields. Some new topic: generalized Mersenne primes and their application in class number of quadratic fields; conjugate quadratic fields and their class numbers; equivalent quadratic fields and their class numbers. The monograph is suitable for graduate students and researchers.

Biographie de l'auteur

Dr. Azizul Hoque received his Ph. D. from Gauhati University, Guwahati in 2015. In a very short time, he has held several positions at Indian institutions. At present he is a Post-Doctoral Fellow at Harish-Chandra Research Institute. He has several publications in number fields, arithmetic functions, diophantine equations and injective modules.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2016
Langue
anglais
ISBN 10 
3659878979
ISBN 13 
9783659878978
Reliure
Broché
Nombre de pages
132
Coordonnées du fabricant
non disponible
Personne responsable
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