{"product_id":"class-field-theory-and-l-franz-halter-koch-9781138583580","title":"Class Field Theory and L Functions: Foundations and Main Results","description":"\u003cp\u003eThe book contains the main results of class field theory and Artin L functions, both for number fields and function fields, together with the necessary foundations concerning topological groups, cohomology, and simple algebras. \u003c\/p\u003e \u003cp\u003eWhile the first three chapters presuppose only basic algebraic and topological knowledge, the rest of the books assumes knowledge of the basic theory of algebraic numbers and algebraic functions, such as those contained in my previous book, \u003ci\u003eAn Invitation to Algebraic Numbers and Algebraic Functions\u003c\/i\u003e (CRC Press, 2020). \u003c\/p\u003e \u003cp\u003eThe main features of the book are: \u003c\/p\u003e \u003cul\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eA detailed study of Pontrjagin's dualtiy theorem. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eA thorough presentation of the cohomology of profinite groups. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eA introduction to simple algebras. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eAn extensive discussion of the various ray class groups, both in the divisor-theoretic and the idelic language. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eThe presentation of local and global class field theory in the algebra-theoretic concept of H. Hasse.\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eThe study of holomorphy domains and their relevance for class field theory. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eSimple classical proofs of the functional equation for L functions both for number fields and function fields. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eA self-contained presentation of the theorems of representation theory needed for Artin L functions. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eApplication of Artin L functions for arithmetical results. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Franz Halter-Koch\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1138583588\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781138583580\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/17\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 564\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.98lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.30h x 6.00w x 1.40d","brand":"Franz Halter-Koch","offers":[{"title":"Hardcover","offer_id":44120941887743,"sku":"9781138583580","price":140.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_f05c5360-a18b-469d-bfd7-d17b96aa4407.jpg?v=1687417131","url":"https:\/\/www.whiterainbookhouse.com\/products\/class-field-theory-and-l-franz-halter-koch-9781138583580","provider":"WR Book House","version":"1.0","type":"link"}