Number-Theoretic Analysis: Seminar, Vienna 1988-89

G. Baron (auth.), Edmund Hlawka, Robert F. Tichy (eds.)3540534083, 9783540534082, 0387534083

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.

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Table of contents :
On point sets with differences of distances not less than the minimum distance….Pages 1-5
Sample path properties of diffusion processes on compact manifolds….Pages 6-19
Some new results in summability theory….Pages 20-30
On irregularities of distribution on the hyperbolic plane….Pages 31-42
Completely uniformly distributed sequences of matrices….Pages 43-57
On digit expansions with respect to second order linear recurring sequences….Pages 58-64
Näherungsformeln zur Berechnung von mehrfachen Integralen mit Anwendungen auf die Berechungen von Potentialen, Induktionskoeffizienten und Lösungen von Gleichungssystemen….Pages 65-111
On the variance of the sum of digits function….Pages 112-116
On the analysis of probabilistic counting….Pages 117-120
A determinant evaluation and some enumeration results for plane partitions….Pages 121-131
An inequality with applications in diophantine approximation….Pages 132-138
Lattice points in planar domains: Applications of Huxley’s ‘discrete hardy-littlewood method’….Pages 139-164
Pseudorandom numbers generated from shift register sequences….Pages 165-177
Divisors in arithmetic progressions in imaginary quadratic number fields….Pages 178-192
Further results on a problem of Knödel concerning the analysis of bin-packing….Pages 193-198
An asymptotic expansion for $$sumlimits_{n leqslant N} {{ nalpha + beta } }$$ ….Pages 199-205
A note on the Ramanujan-Nagell equation….Pages 206-207
Strong Weyl property in uniform distribution….Pages 208-220