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 2013Show all

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math.NT2013★ 11 cited

The density of twins of $k$ -free numbers

Rainer Dietmann, Oscar Marmon

For $k \geq 2$ , we consider the number $A_{k} (Z)$ of positive integers $n \leq Z$ such that both $n$ and $n + 1$ are $k$ -free. We prove an asymptotic formula $A_k(Z) = c_k Z + O(Z^{14/…

math.NT2013

On the representation of quadratic forms by quadratic forms

Rainer Dietmann, Michael Harvey

Using the circle method, we show that for a fixed positive definite integral quadratic form $A$ , the expected asymptotic formula for the number of representations of a positive def…

The density of twins of k-free numbers

On the representation of quadratic forms by quadratic forms

The density of twins of $k$ -free numbers