On a uniformly distributed phenomenon in matrix groups

Details On a uniformly distributed phenomenon in matrix groups On a uniformly distributed phenomenon in matrix groups

2011-03-21

arxiv.org/abs/1103.3928v4

Mathematics

Number Theory

12 pages. Using the ideas in arXiv:1105.4513 "Gauss sums over some matrix groups", the question proposed by us in section 4 of

Scientific paper

We show that a classical uniformly distributed phenomenon for an element and
its inverse in (Z/nZ)^{*} also exists in GL_{n}(F_{p}) and SL_{n}(F_{p}). A
GL_{n}(F_{p}) analog of the uniform distribution on modular hyperbolas has also
been considered.

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