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math.NT2023
Bounds on Fourier coefficients and global sup-norms for Siegel cusp forms of degree 2
Félicien Comtat, Jolanta Marzec-Ballesteros, Abhishek Saha
Let be an -normalized Siegel cusp form for of weight that is a Hecke eigenform and not a Saito--Kurokawa lift. Assuming the Generalized Rie…
math.NT2023
Simple supercuspidal representations of and test vectors
Ameya Pitale, Abhishek Saha, Ralf Schmidt
We consider simple supercuspidal representations of over a -adic field and show that they have conductor exponent 5. We study (paramodular) newvectors and minim…