Class Numbers: Quadratic and Cyclotomic Fields

ISBN-13: 9783659878978 / Angielski / Miękka / 2016 / 132 str.

Azizul Hoque; Helen K. Saikia

Opis

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.

O autorze

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.