R. Dietmann

activity

20062026

most citedOn the distribution of Galois groups

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

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Showing 2010Show all

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math.NT2010★ 40 cited

On the distribution of Galois groups

Rainer Dietmann

Let $G$ be a subgroup of the symmetric group $S_{n}$ , and let $δ_{G} = ∣ S_{n} / G ∣^{- 1}$ where $∣ S_{n} / G ∣$ is the index of $G$ in $S_{n}$ . Then there are at most $O_{n, ε} (H^{n - 1 + δ_{G} + ε})$ monic…

math.NT2010

Random diophantine equations of additive type

Jörg Brüdern, Rainer Dietmann

Using the circle method in combination with lattice point counting arguments, we show that for almost all homogeneous diophantine equations of additive type and degree $k$ in more…