5 papers
Local Weak Maass Forms and Traces of Cycle Integrals
Kilian Rausch, Johann Stumpenhusen
Using relations established by Bringmann and Kane in a recent preprint based on the function studied by Mono, Rolen, and the second author, we introduce two further fun…
The difference of the sums of odd and even parts of restricted partitions
Kilian Rausch, Johann Stumpenhusen
For a subset , denote by the total sum of all odd parts minus the sum of all even parts of all partitions of in which parts from d…
A Rademacher exact type formula for pod
Kilian Rausch
In this paper, we calculate an exact formula for the number of partitions of a natural number , where the largest part is even and no odd parts appears more than two times. The…
Mock modular forms from the k-rank moments
Kilian Rausch
In this paper, the generating functions of Garvans so-called -ranks are used, to define a family of mock Eisenstein series. The -rank moments are then expressed as partition…
Front-Running Protection for Distributed Exchanges using Tamper-Resistant Round Trip Time Measurements
Hannah Atmer, Kilian Rausch, Daniel McNally
In this paper we present ODIN, a front-running protection system that uses a novel algorithm to measure Round-Trip-Time (RTT) to untrusted servers. ODIN is the decentralized equiva…