| 期刊全稱 | Analytic Number Theory | | 期刊簡稱 | Lectures given at th | | 影響因子2023 | J. B. Friedlander,D. R. Heath-Brown,J. Kaczorowski | | 視頻video | http://file.papertrans.cn/157/156537/156537.mp4 | | 發(fā)行地址 | Includes supplementary material: | | 學科分類 | Lecture Notes in Mathematics | | 圖書封面 |  | | 影響因子 | .The four contributions collected in this?volume deal with several advanced results in analytic number theory. Friedlander’s paper contains some recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials. Heath-Brown‘s lecture notes mainly deal with counting integer solutions to Diophantine equations, using among other tools several results from algebraic geometry and from the geometry of numbers. Iwaniec’s paper gives a broad picture of the theory of Siegel’s zeros and of exceptional characters of L-functions, and gives a new proof of Linnik’s theorem on the least prime in an arithmetic progression. Kaczorowski’s article presents an up-to-date survey of the axiomatic theory of L-functions introduced by Selberg, with a detailed exposition of several recent results.. | | Pindex | Book 2006 |
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