| 書目名稱 | Multiplicative Number Theory | | 編輯 | Harold Davenport | | 視頻video | http://file.papertrans.cn/642/641082/641082.mp4 | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | Although it was in print for a short time only, the original edition of Multiplicative Number Theory had a major impact on research and on young mathematicians. By giving a connected account of the large sieve and Bombieri‘s theorem, Professor Davenport made accessible an important body of new discoveries. With this stimula- tion, such great progress was made that our current understanding of these topics extends well beyond what was known in 1966. As the main results can now be proved much more easily. I made the radical decision to rewrite §§23-29 completely for the second edition. In making these alterations I have tried to preserve the tone and spirit of the original. Rather than derive Bombieri‘s theorem from a zero density estimate tor L timctions, as Davenport did, I have chosen to present Vaughan‘S elementary proof of Bombieri‘s theorem. This approach depends on Vaughan‘s simplified version of Vinogradov‘s method for estimating sums over prime numbers (see §24). Vinogradov devised his method in order to estimate the sum LPH e(prx); to maintain the historical perspective I have inserted (in §§25, 26) a discussion of this exponential sum and its application to sums of primes, | | 出版日期 | Textbook 19802nd edition | | 關(guān)鍵詞 | Microsoft Access; Multiplikative Zahlentheorie; Prime; Sieve; arithmetic; boundary element method; number | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4757-5927-3 | | isbn_ebook | 978-1-4757-5927-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Ann Davenport 1980 |
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