1 citations · 2 across the 14 of their papers we have counts for
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On the Proportion of Coprime Fractions in Number Fields
Walter Bridges, Johann Franke, Johann Christian Stumpenhusen
In this paper we determine the asymptotic density of coprime fractions in those of the reduced fractions of number fields. When ordered by norms of denominators, we count a fractio…
On the number of irreducible representations of
Walter Bridges, Kathrin Bringmann, Johann Franke
In this note, we use a variant of the hyperbola method to prove an asymptotic expansion for the summatory function of the number of irreducible -representations o…
On the distribution of the norm of partitions
Walter Bridges, William Craig
The norm of an integer partition is defined as the product of its parts. This statistic was recently introduced by Schneider in connection to partition zeta functions. In this note…
Log-concavity for unimodal sequences
Walter Bridges, Kathrin Bringmann
In this paper, we prove that the number of unimodal sequences of size is log-concave. These are coefficients of a mixed false modular form and have a Rademacher-type exact form…
A Rademacher-type exact formula for partitions without sequences
Walter Bridges, Kathrin Bringmann
In this paper we prove an exact formula for the number of partitions without sequences. By work of Andrews, the corresponding generating function is a product of a modular form and…
Asymptotic expansions for partitions generated by infinite products
Walter Bridges, Benjamin Brindle, Kathrin Bringmann +1
Recently, Debruyne and Tenenbaum proved asymptotic formulas for the number of partitions with parts in () and good analytic prop…