Dani Szpruch

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20132024

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math.NT2024

Whittaker spaces for reducible unitary principal series representations of $S L_{2} (F)$

Dani Szpruch

Let $F$ be a $p$ -adic field containing the full group of $n^{t h}$ roots of 1 and let $S L_{2} (F)$ be the $n$ -fold cover of $S L_{2} (F)$ constructed by Kubota. In this paper…

math.NT2023

A p-adic analog of Hasse-Davenport product relation involving epsilon-factors

Dani Szpruch

In this paper we prove some generalizations of the classical Hasse-Davenport product relation for certain arithmetic factors defined on p-adic fields, among them one finds the epsi…

math.NT2013

Symmetric genuine Spherical Whittaker functions on the metaplectic double cover of GSp(2n,F)

Dani Szpruch

Let F be a p-adic field of odd residual characteristic. Let G(n) and G`(n) be the metaplectic double covers of the general symplectic group and the symplectic group attached to the…

Whittaker spaces for reducible unitary principal series representations of SL2​(F)​

A p-adic analog of Hasse-Davenport product relation involving epsilon-factors

Symmetric genuine Spherical Whittaker functions on the metaplectic double cover of GSp(2n,F)

Whittaker spaces for reducible unitary principal series representations of $S L_{2} (F)$