Sivaramakrishnan, R.,  1936- <br/><br/>
Certain number-theoretic episodes in algebra / 
R. Sivaramakrishnan. 
 - Second edition. 
 - 1 online resource :  illustrations (black and white). 
 - Chapman & Hall/CRC Pure and Applied Mathematics .
<br/><br/> Previous edition: 2007. 
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781351023320 1351023322 9781351023337 1351023330 9781351023313 1351023314 9781351023344 1351023349 
<br/><br/><label>Standard No.: </label>10.1201/9781351023344  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Algebraic number theory.<br/>Number theory.
<br/><br/><label>LC Class. No.: </label>QA247  / .S5725 2019 
<br/><br/><label>Dewey Class. No.: </label>512.74