{"product_id":"9789814365567","title":"Analytic Number Theory: An Introductory Course(Reprinted 2009)","description":"\u003cp\u003eThis valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.\u003c\/p\u003e\u003cp\u003eComments and corrigenda for the book are found at http:\/\/www.math.uiuc.edu\/~diamond\/.\u003c\/p\u003e\u003cbr\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eCalculus of Arithmetic Functions\u003c\/li\u003e\n\u003cli\u003eSummatory Functions\u003c\/li\u003e\n\u003cli\u003eThe Distribution of Prime Numbers\u003c\/li\u003e\n\u003cli\u003eAn Elementary Proof of the PNT\u003c\/li\u003e\n\u003cli\u003eDirichlet Series and Mellin Transforms\u003c\/li\u003e\n\u003cli\u003eInversion Formulas\u003c\/li\u003e\n\u003cli\u003eThe Riemann Zeta Function\u003c\/li\u003e\n\u003cli\u003ePrimes in Arithmetic Progressions\u003c\/li\u003e\n\u003cli\u003eApplications of Characters\u003c\/li\u003e\n\u003cli\u003eOscillation Theorems\u003c\/li\u003e\n\u003cli\u003eSieves\u003c\/li\u003e\n\u003cli\u003eApplication of Sieves\u003c\/li\u003e\n\u003cli\u003eAppendix: Results from Analysis and Algebra\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students, academics and researchers interested in analytic number theory.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185282760944,"sku":"9789814365567","price":29.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814365567_p0.jpg?v=1763691926","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814365567","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}