Number Theory

  • Dieter, Ulrich (Co-Investigator (CoI))

Project: Research area

Project Details

Description

1. Calculation of shortest lattice points. Applications occur at checking quality of recursive and multiple recursive linear congruential generators and at problems of simultaneous Diophantine approximation. 2. Reciprocity theorems for Dedekind sums and their applications. The latter can be used to determine the discrepancy of a sequence of multiples of an irrational number and the two-dimensional discrepancy of a sequence of pseudo random numbers generated by the linear congruential method.
StatusFinished
Effective start/end date1/01/9531/01/00

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