R. Dietmann

activity

20062026

most citedOn the distribution of Galois groups

40 citations · 118 across the 23 of their papers we have counts for

collaborators

Showing 2012 · math.NTShow all

4 papers · 2 filters

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

Weyl's inequality and systems of forms

Rainer Dietmann

By providing a variant of Weyl's inequality for general systems of forms we establish the Hardy-Littlewood asymptotic formula for the density of integer zeros of systems of quadrat…

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…