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On the Class Number of Abelian Number Fields
Language: en
Pages: 394
Authors: Helmut Hasse
Categories: Mathematics
Type: BOOK - Published: 2019-04-23 - Publisher: Springer

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With this translation, the classic monograph Über die Klassenzahl abelscher Zahlkörper by Helmut Hasse is now available in English for the first time. The boo
Quadratic Number Fields
Language: en
Pages: 348
Authors: Franz Lemmermeyer
Categories: Mathematics
Type: BOOK - Published: 2021-09-18 - Publisher: Springer Nature

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This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at
Introduction To Non-abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-dimensional Galois Representations
Language: en
Pages: 188
Authors: Toyokazu Hiramatsu
Categories: Mathematics
Type: BOOK - Published: 2016-09-13 - Publisher: World Scientific

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This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of t
Introduction to Cyclotomic Fields
Language: en
Pages: 504
Authors: Lawrence C. Washington
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat’s Last Theorem, and Iwasawa’s theory of Z_p-
Number Fields
Language: en
Pages: 213
Authors: Daniel A. Marcus
Categories: Mathematics
Type: BOOK - Published: 2018-07-05 - Publisher: Springer

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Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It th