121 citations · 331 across the 43 of their papers we have counts for
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Disproof of a conjecture by Rademacher on partial fractions
Michael Drmota, Stefan Gerhold
In his book Topics in Analytic Number Theory, Rademacher considered the generating function of partitions into at most parts, and conjectured certain limits for the coefficient…
Asymptotic Estimates for Some Number Theoretic Power Series
Stefan Gerhold
We derive asymptotic bounds for the ordinary generating functions of several classical arithmetic functions, including the Moebius, Liouville, and von Mangoldt functions. The estim…
The Shape of the Value Sets of Linear Recurrence Sequences
Stefan Gerhold
We show that the closure of the value set of a real linear recurrence sequence is the union of a countable set and a finite collection of intervals. Conversely, any finite collecti…
Point Lattices and Oscillating Recurrence Sequences
Stefan Gerhold
We consider the following question: Which real sequences (a(n)) that satisfy a linear recurrence with constant coefficients are positive for sufficiently large n? We show that the…