Elements of the theory of numbers. From Euclid to Lucas : elementary theorems revisited -- Solutions of congruences, primitive roots -- The Chinese remainder theorem -- Mobius inversion -- Quadratic residues (mod r) (r > 1) -- Decomposition of a number as a sum of two or four squares -- Dirichlet...

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Bibliographische Detailangaben

1. Verfasser:	Sivaramakrishnan, R. 1936- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Boca Raton ; London ; New York CRC Press, Taylor & Francis Group [2019]
Ausgabe:	Second edition
Schlagworte:	Zahlentheorie Algebraische Zahlentheorie Algebraic number theory / Textbooks Number theory / Textbooks
Zusammenfassung:	Elements of the theory of numbers. From Euclid to Lucas : elementary theorems revisited -- Solutions of congruences, primitive roots -- The Chinese remainder theorem -- Mobius inversion -- Quadratic residues (mod r) (r > 1) -- Decomposition of a number as a sum of two or four squares -- Dirichlet algebra of arithmetical functions -- Modular arithmetical functions -- A generalization of ramanujan sums -- Ramanujan expansions of multiplicative arithmetic functions -- Selected topics in algebra. On the uniqueness of a group of order r (r > 1) -- Quadratic reciprocity in a finite group -- Commutative rings with unity -- Noetherian and Artinian rings -- Glimpses of the theory of algebraic numbers. Dedekind domains -- Algebraic number fields -- Vaidyanathaswamy's class-division of integers modulo r -- Burnside's lemma and a few of its applications -- On cyclic codes of length n over Fq -- An analogue of the Goldbach problem
Beschreibung:	Includes bibliographical references and index
Beschreibung:	xxxi, 411 Seiten Illustrationen
ISBN:	9781138495784