3 papers
math.NT2020
On Fourier coefficients of elliptic modular forms with applications to Siegel modular forms
Siegfried Böcherer, Soumya Das
We study several aspects of nonvanishing Fourier coefficients of elliptic modular forms , partially answering a question of Bellaïche-Soundararajan concerning the asymp…
math.NT2018
On fundamental Fourier coefficients of Siegel modular forms
Siegfried Bocherer, Soumya Das
We prove that if is a non-zero (possibly non-cuspidal) vector-valued Siegel modular form of any degree, then it has infinitely many non-zero Fourier coefficients which are inde…
math.NT2017
On the kernel of the theta operator mod p
Siegfried Boecherer, Hirotaka Kodama, Shoyu Nagaoka
We construct many examples of level one Siegel modular forms in the kernel of theta operators mod by using theta series attached to positive definite quadratic forms.