Number Theory: New York Seminar 2003
暫譯: 數論:2003年紐約研討會
Chudnovsky, David, Chudnovsky, Gregory, Nathanson, Melvyn
商品描述
* The spanning number and the independence number of a subset of an abelian group * A formula related to the Frobenius problem in two dimensions * One bit world * Use of Padé approximation in spline construction * Interactions between number theory and operator algebras in the study of Riemann zeta function (d'apres Bost-Connes and Connes) * A hyperelliptic curve with real multiplication of degree two * Humbert's conic model and the Kummer surface * Arithmeticity and theta correspondence of an orthogonal group * Morphis heights and periodic points * The elementary proof of the prime number theorem: An historical perspective * Additive bases representations and the Erdös-Túran conjecture * The boundary structure of the sumset in Z 2 * On NTU's in function fields * Continued fractions and quadratic irrationals * The inverse problem for representation functions of additive bases * On the ubiquity of Sidon sets
商品描述(中文翻譯)
* 阿貝爾群子集的跨越數與獨立數
* 與二維弗羅貝紐斯問題相關的公式
* 一位元世界
* 在樣條構造中使用帕德近似
* 數論與算子代數在研究黎曼ζ函數中的互動(根據Bost-Connes和Connes)
* 具有實乘法的二度超橢圓曲線
* 洪伯特的圓錐模型與庫默曲面
* 正交群的算術性與θ對應
* Morphis高度與周期點
* 質數定理的基本證明:歷史視角
* 加法基底表示法與厄爾多斯-圖朗猜想
* Z²中和集的邊界結構
* 在函數域中的NTU
* 連分數與二次無理數
* 加法基底的表示函數的逆問題
* Sidon集合的普遍性