Certain number-theoretic episodes in algebra

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The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book

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Title Statements

Full title :Certain number-theoretic episodes in algebra / Sivaramakrishnan. R

Summary

Edition Statements

Publication Date:©2019
Edition:Second edition

Publication Statements

Publisher(s):Chapman & Hall/CRC
Place of Publication:Boca Raton
Language:eng
Publication Date:©2019

Notes

Previous edition: 2007.

The Physical Object

Description:1 online resource (xxxi, 411 pages) : : illustrations (black and white)

Edition Identifiers

ISBN:9781351023320, 1351023322, 9781351023337, 1351023330, 9781351023313, 1351023314, 9781351023344, 1351023349
DOI:10.1201/9781351023344
oclc:on1091698155
LC Classification:QA247
Dewey Decimal:512.74

From Euclid to Lucas: elementary theorems revisited -- Solutions of congruences, primitive roots -- The Chinese remainder theorem -- Möbius inversion -- Quadratic residues -- 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 -- 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 -- 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