most citedA family of multiple integrals connected with relatives of the Dickman function

3 citations · 3 across the 1 of their papers we have counts for

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3 papers

math.NT2018

Almost-prime values of reducible polynomials at prime arguments

C. S. Franze, P. H. Kao

We adopt A. J. Irving's sieve method to study the almost-prime values produced by products of irreducible polynomials evaluated at prime arguments. This generalizes the previous re…

math.NT2017★ 3 cited

A family of multiple integrals connected with relatives of the Dickman function

C. S. Franze

We present an asymptotic expansion for a family of multiple integrals connected with relatives of the Dickman function. The coefficients of this expansion have a similar arithmetic…

math.NT2017

A note on an asymptotic expansion related to the Dickman function

C. S. Franze

In this paper we refine an asymptotic expansion given by Soundararajan related to the Dickman function. The result suggests a relatively simple approach to computing these integral…