Number-Theoretic Analysis: Seminar, Vienna 1988-89

ISBN-13: 9783540534082 / Angielski / Miękka / 1990 / 224 str.

Edmund Hlawka; Robert F. Tichy

Opis

This volume contains original research papers presented at a seminar given at the Technical University of Vienna. Contributors discussed methods drawn originally from number theory but applied now to numerical analysis, discrete mathematics and theoretical computer science.

Spis treści

On point sets with differences of distances not less than the minimum distance.- Sample path properties of diffusion processes on compact manifolds.- Some new results in summability theory.- On irregularities of distribution on the hyperbolic plane.- Completely uniformly distributed sequences of matrices.- On digit expansions with respect to second order linear recurring sequences.- Näherungsformeln zur Berechnung von mehrfachen Integralen mit Anwendungen auf die Berechungen von Potentialen, Induktionskoeffizienten und Lösungen von Gleichungssystemen.- On the variance of the sum of digits function.- On the analysis of probabilistic counting.- A determinant evaluation and some enumeration results for plane partitions.- An inequality with applications in diophantine approximation.- Lattice points in planar domains: Applications of Huxley's ‘discrete hardy-littlewood method’.- Pseudorandom numbers generated from shift register sequences.- Divisors in arithmetic progressions in imaginary quadratic number fields.- Further results on a problem of Knödel concerning the analysis of bin-packing.- An asymptotic expansion for .- A note on the Ramanujan-Nagell equation.- Strong Weyl property in uniform distribution.