3 citations · 7 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
Reducing the number of prime factors of long -tuples
C. S. Franze
We prove that there are infinitely many integers such that the total number of prime factors of is at most , provided is su…
Sifting Limits for the Λ^2Λ^- Sieve
Craig Franze
Sifting limits for the sieve, Selberg's lower bound sieve, are computed for integral dimensions . The evidence strongly suggests that for all the $Λ^…