Certain number-theoretic episodes in algebra

by SIVARAMAKRISHNAN, R.

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Title Statements

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

Edition Statements

Publication Date:2019.
Edition:Second edition

Publication Statements

Publisher(s):CRC Press, Taylor and Francis Group, CRC Press is an imprint of Taylor & Francis Group, an informa business, A Chapman & Hall Book
Place of Publication:Boca Raton
Language:eng
Publication Date:2019.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9781351023320, 1351023322, 9781351023344, 1351023349, 1351023330, 9781351023337
oclc:on1202483942
LC Classification:QA247
Dewey Decimal:512.7/4

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.