New York Seminar 2003
Buch, Englisch, 272 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 435 g
ISBN: 978-1-4612-6490-3
Verlag: Springer
This volume of new research papers marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Since 1982, NYNTS has presented a range of research in number theory and related fields of mathematics, from physics to geometry to combinatorics and computer science. The speakers have included Field medalists as well as promising lesser known mathematicians whose theorems are significant. The papers presented here are all previously unpublished.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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 Padé Approximation in Spline Construction.- 5 Interactions between Number Theory and Operator Algebras in the Study ofthe Riemann Zeta Function (d’aprés Bost—Connes and Connes).- 6 A Hyperelliptic Curve with Real Multiplication of Degree Two.- 7 Humbert’s 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-Turán 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.




