TY  - BOOK
AU  - Sivaramakrishnan,R.
TI  - Certain number-theoretic episodes in algebra
T2  - Chapman & Hall/CRC Pure and Applied Mathematics
SN  - 9781351023320
AV  - QA247 .S5725 2019
U1  - 512.74 23
PY  - 2019///
CY  - Boca Raton
PB  - Chapman & Hall/CRC
KW  - Algebraic number theory
KW  - Number theory
N1  - Previous edition: 2007; Section A -- ELEMENTS OF THE THEORY OF NUMBERS. From Euclid to Lucas: Elementary theorems revisited. Solutions of Congruences, Primitive Roots. The Chinese Remainder Theorem. M·obius 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. Section B -- 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. Section C -- GLIMPSES OF THE THEORY OF ALGEBRAIC NUMBERS. Dedekind domains. Algebraic number fields. Section D -- SOME ADDITIONAL TOPICS. 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. Appendix A. Appendix B. Appendix C. Index
UR  - https://www.taylorfrancis.com/books/9781351023344
UR  - http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
ER  -