R. Dietmann

activity

20082026

most citedOn Gaps Between Primitive Roots in the Hamming Metric

4 citations · 7 across the 7 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.NT2012★ 2 cited

Random diophantine equations, I

Jörg Brüdern, Rainer Dietmann

We consider additive diophantine equations of degree $k$ in $s$ variables and establish that whenever $s \geq 3 k + 2$ then almost all such equations satisfy the Hasse principle. The eq…

math.NT2012★ 1 cited

Hilbert cubes in progression-free sets and in the set of squares II

Rainer Dietmann, Christian Elsholtz

Let $S_{2}$ be the set of integer squares. We show that the dimension $d$ of a Hilbert cube $a_{0} + {0, a_{1}} + ... + {0, a_{d}} \subset S_{2}$ is bounded by $d = O (lo g lo g N)$

math.NT2012★ 4 cited

On Gaps Between Primitive Roots in the Hamming Metric

Rainer Dietmann, Christian Elsholtz, Igor E. Shparlinski

We consider a modification of the classical number theoretic question about the gaps between consecutive primitive roots modulo a prime $p$ , which by the well-known result of Burge…