Anatomy of integers
著者
書誌事項
Anatomy of integers
(CRM proceedings & lecture notes, v. 46)
American Mathematical Society, c2008
大学図書館所蔵 全18件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Text in English and French
Includes bibliographical references
内容説明・目次
内容説明
The book is mostly devoted to the study of the prime factors of integers, their size and their quantity, to good bounds on the number of integers with different properties (for example, those with only large prime factors) and to the distribution of divisors of integers in a given interval. In particular, various estimates concerning smooth numbers are developed. A large emphasis is put on the study of additive and multiplicative functions as well as various arithmetic functions such as the partition function. More specific topics include the Erdos-Kac Theorem, cyclotomic polynomials, combinatorial methods, quadratic forms, zeta functions, Dirichlet series and $L$-functions. All these create an intimate understanding of the properties of integers and lead to fascinating and unexpected consequences. The volume includes contributions from leading participants in this active area of research, such as Kevin Ford, Carl Pomerance, Kannan Soundararajan and Gerald Tenenbaum.
目次
Ternary quadratic forms, and sums of three squares with restricted variables by V. Blomer Entiers ayant exactement $r$ diviseurs dans un intervalle donne by R. de la Breteche On the proportion of numbers coprime to a given integer by P. Erdos, F. Luca, and C. Pomerance Integers wtih a divisor in ${(}y,2y{]}$ by K. Ford Power-free values, repulsion between points, differing beliefs and the existence of error by H. A. Helfgott Anatomy of integers and cyclotomic polynomials by H. Maier Parite des valeurs de la fonction de partition $p(n)$ et anatomie des entiers by J.-L. Nicolas The distribution of smooth numbers in arithmetic progressions by K. Soundararajan Moyennes de certaines fonctions multiplicatives sur les entiers friables, 4 by G. Tenenbaum and J. Wu Uniform distribution of zeros of Dirichlet series by A. Akbary and M. R. Murty On primes represented by quadratic polynomials by S. Baier and L. Zhao Descartes numbers by W. D. Banks, A. M. Guloglu, C. W. Nevans, and F. Saidak A combinatorial method for developing Lucas sequence identities by E. Croot On the difference of arithmetic functions at consecutive arguments by J.-M. De Koninck and F. Luca Pretentious multiplicative functions and an inequality for the zeta-function by A. Granville and K. Soundararajan On the distribution of $\omega(n)$ by R. Khan The Erdos-Kac theorem and its generalizations by W. Kuo and Y.-R. Liu On a conjecture on Montgomery-Vaughan on extreme values of automorphic $L$-functions at 1 by J. Liu, E. Royer, and J. Wu The Mobius function in short intervals by N. Ng An explicit approach to hypothesis H for polynomials over a finite field by P. Pollack On prime factors of integers which are sums or shifted products by C. L. Stewart Simultaneous approximation of reals by values of arithmetic functions by E. B. Wong.
「Nielsen BookData」 より