35 citations · 46 across the 10 of their papers we have counts for
11 papers
Imaginary quadratic fields with -torsion-free class groups and specified split primes
Olivia Beckwith, Martin Raum, Olav Richter
Given an odd prime and finite set of odd primes , we prove the existence of an imaginary quadratic field whose class number is indivisible by and which splits at…
Congruences of Hurwitz class numbers on square classes
Olivia Beckwith, Martin Raum, Olav Richter
We extend a holomorphic projection argument of our earlier work to prove a novel divisibility result for non-holomorphic congruences of Hurwitz class numbers. This result allows us…
Non-Holomorphic Ramanujan-type Congruences for Hurwitz Class Numbers
Olivia Beckwith, Martin Raum, Olav K. Richter
In contrast to all other known Ramanujan-type congruences, we discover that Ramanujan-type congruences for Hurwitz class numbers can be supported on non-holomorphic generating seri…
The skew-Maass lift I
Martin Raum, Olav K. Richter
The classical Maass lift is a map from holomorphic Jacobi forms to holomorphic scalar-valued Siegel modular forms. Automorphic representation theory predicts a non-holomorphic and…
Almost holomorphic Poincare series corresponding to products of harmonic Siegel-Maass forms
K. Bringmann, O. K. Richter, M. Westerholt-Raum
We investigate Poincaré series, where we average products of terms of Fourier series of real-analytic Siegel modular forms. There are some (trivial) special cases for which the pro…
Sturm Bounds for Siegel Modular Forms
Olav K. Richter, Martin Westerholt-Raum
We establish Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. Our inductive proof exploits Fourier-Jacobi expansions of S…