{"product_id":"analytic-number-theory-9781470467708","title":"Analytic Number Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAnalytic Number Theory distinguishes itself by the variety of tools it uses to establish results, many of which belong to the mainstream of arithmetic. The main goal of the book is to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, its beautiful theorems and powerful techniques.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThe book is written in a very lively and nicely readable style ... contains a very well chosen and balanced material. -- EMS Newsletter The authors are active researchers with a lot of experience and deep insight, and their creative attitude makes reading particularly rewarding... It can be warmly recommended toa wide readership ...\"\" —\u003cem\u003eZentralblatt Math\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003e Arithmetic functions\u003c\/li\u003e\n\u003cli\u003e Elementary theory of prime numbers\u003c\/li\u003e\n\u003cli\u003e Characters\u003c\/li\u003e\n\u003cli\u003e Summation formulas\u003c\/li\u003e\n\u003cli\u003e Classical analytic theory of $L$-functions\u003c\/li\u003e\n\u003cli\u003e Elementary sieve methods\u003c\/li\u003e\n\u003cli\u003e Bilinear forms and the large sieve\u003c\/li\u003e\n\u003cli\u003e Exponential sums\u003c\/li\u003e\n\u003cli\u003e The Dirichlet polynomials\u003c\/li\u003e\n\u003cli\u003e Zero-density estimates\u003c\/li\u003e\n\u003cli\u003e Sums over finite fields\u003c\/li\u003e\n\u003cli\u003e Character sums\u003c\/li\u003e\n\u003cli\u003e Sums over primes\u003c\/li\u003e\n\u003cli\u003e Holomorphic modular forms\u003c\/li\u003e\n\u003cli\u003e Spectral theory of automorphic forms\u003c\/li\u003e\n\u003cli\u003e Sums of Kloosterman sums\u003c\/li\u003e\n\u003cli\u003e Primes in arithmetic progressions\u003c\/li\u003e\n\u003cli\u003e The least prime in an arithmetic progression\u003c\/li\u003e\n\u003cli\u003e The Goldbach problem\u003c\/li\u003e\n\u003cli\u003e The circle method\u003c\/li\u003e\n\u003cli\u003e Equidistribution\u003c\/li\u003e\n\u003cli\u003e Imaginary quadratic fields\u003c\/li\u003e\n\u003cli\u003e Effective bounds for the class number\u003c\/li\u003e\n\u003cli\u003e The critical zeros of the Riemann zeta function\u003c\/li\u003e\n\u003cli\u003e The spacing of zeros of the Riemann zeta-function\u003c\/li\u003e\n\u003cli\u003e Central values of $L$-functions\u003c\/li\u003e\n\u003cli\u003e Bibliography\u003c\/li\u003e\n\u003cli\u003e Index\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":48867166552407,"sku":"9781470467708","price":78.3,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470467708.jpg?v=1722281995","url":"https:\/\/bookcurl.com\/products\/analytic-number-theory-9781470467708","provider":"Book Curl","version":"1.0","type":"link"}