198 citations · 220 across the 14 of their papers we have counts for
14 papers
Paramodular groups and theta series
Siegfried Böcherer, Rainer Schulze-Pillot
For a paramodular group of any degree and square free level we study the Hecke algebra and the boundary components. We define paramodular theta series and show that for square free…
Lecture Notes on Quadratic Forms and their Arithmetic
Rainer Schulze-Pillot
These are the notes from my courses on the arithmetic of quadratic forms.
Stress Field Prediction in Cantilevered Structures Using Convolutional Neural Networks
Zhenguo Nie, Haoliang Jiang, Levent Burak Kara
The demand for fast and accurate structural analysis is becoming increasingly more prevalent with the advance of generative design and topology optimization technologies. As one st…
A decomposition of the Fourier-Jacobi coefficients of Klingen Eisenstein series
Thorsten Paul, Rainer Schulze-Pillot
We investigate the relation between Klingen's decomposition of the space of Siegel modular forms and Dulinski's analogous decomposition of the space of Jacobi forms.
Restricted sums of four integral squares
Rainer Schulze-Pillot
We give a simple quaternionic proof of a recent result of Goldmakher and Pollack on restricted sums of four integral squares.
Petersson products of bases of spaces of cusp forms and estimates for Fourier coefficients
Rainer Schulze-Pillot, Abdullah Yenirce
We prove a bound for the Fourier coefficients of a cusp form of integral weight which is not a newform by computing an explicit orthogonal basis for the space of cusp forms of give…