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19982021
most citedVanishing Theorems for constructible Sheaves on Abelian Varieties

46 citations · 173 across the 30 of their papers we have counts for

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math.NT2017

Exceptional poles of local -functions for with respect to split Bessel models

Rainer Weissauer

Piateskii-Shapiro defined local -factors attached to irreducible admissible representations of the group over local fields and Bessel models of …

math.NT2016

Phantom holomorphic projections arising from Sturm's formula

Kathrin Maurischat, Rainer Weissauer

We show the analytic continuation of certain Siegel Poincaré series to their critical point for weight three in genus two. We proof that this continuation posesses a nonhomomorphic…

math.NT2009★ 17 cited

The trace of Hecke operators on the space of classical holomorphic Siegel modular forms of genus two

Rainer Weissauer

We prove multiplicity one for vector valued holomorphic Siegel modular forms of weights greater or equal to 3 and the full Siegel modular group and give a trace formula for the act…

math.NT2008★ 2 cited

Siegel modular forms mod p

Rainer Weissauer

We prove a vanishing theorem for one forms on the moduli stack of principally polarized abelian varieties of genus g>1 with level structure N over fields of characteristic p differ…

math.NT2007

The Norm Index Theorem (An Analytic Proof)

Rainer Weissauer

We give an analytic proof of the norm index theorem for cyclic extensions of number fields using spectral theory of the idele class group.

math.NT2007

Existence of Whittaker models related to four dimensional symplectic Galois representations

Rainer Weissauer

We show that an irreducible cuspidal automorphic representation of the group GSp(4,A), which is not CAP and whose infinite component belongs to the discrete series, is weakly equiv…