内容

目次

The spanning number and the independence number of a subset of anabelian group.- A formula related to the Frobenius problem in twodimensions.- One bit world.- Use of Pade approximation in splineconstruction.- Interactions between number theory and operator algebras inthe study of Riemann zeta function (d'apres Bost-Connes and Connes).- Ahyperelliptic curve with real multiplication of degree two.- Humbert's conicmodel and the Kummer surface.- Arithmeticity and theta correspondence of anorthogonal group.- Morphis heights and periodic points.- The elementary proofof the prime number theorem: An historical perspective.- Additive basesrepresentations and the Erdos-Turan conjecture.- The boundary structure ofthe sumset in Zquadratic irrationals.- The inverse problem for representation functions ofadditive bases.- On the ubiquity of Sidon sets.