Title | Number Theory [electronic resource] : New York Seminar 2003 / edited by David Chudnovsky, Gregory Chudnovsky, Melvyn Nathanson |
---|---|
Imprint | New York, NY : Springer New York : Imprint: Springer, 2004 |
Connect to | http://dx.doi.org/10.1007/978-1-4419-9060-0 |
Descript | VIII, 272 p. online resource |
Preface -- 1 The Spanning Number and the Independence Number of a Subset ofan Abelian Group -- 2 A Formula Related to the Frobenius Problem in Two Dimensions -- 3 One Bit World -- 4 Use of Padรฉ Approximation in Spline Construction -- 5 Interactions between Number Theory and Operator Algebras in the Study ofthe Riemann Zeta Function (dโaprรฉs BostโConnes and Connes) -- 6 A Hyperelliptic Curve with Real Multiplication of Degree Two -- 7 Humbertโs Conic Model and the Kummer Surface -- 8 Arithmeticity and Theta Correspondence of an Orthogonal Group -- 9 Morphic Heights and Periodic Points -- 10 The Elementary Proofofthe Prime Number Theorem: An Historical Perspective -- 11 Additive Bases Representations and the Erd?s-Turรกn Conjecture -- 12 The Boundary Structure ofthe Sumset in Z2 -- 13 On NTUs in Function Fields -- 14 Continued Fractions and Quadratic Irrationals -- 15 The Inverse Problem for Representation Functions of Additive Bases -- 16 On the Uniquity of Sidon Sets