Markos Karameris

activity

20192026

collaborators

6 papers

math.NT2026

Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of $SL_{2} (Q_{p})$

Ehud Moshe Baruch, Markos Karameris, Soma Purkait

Let $p$ be an odd prime, and let $SL_{2} (Z_{p})$ and $K_{0} (p^{n})$ denote the inverse images of $SL_{2} (Z_{p})$ and the congruence su…

math.RT2024

Iwahori Spherical Whittaker Functions for Steinberg Representations

Markos Karameris, Ehud Moshe Baruch

Let $G (F)$ be a split reductive group over a $p$ -adic field $F$ and let $(π_{S t}, V)$ be a (generalized) Steinberg representation of $G (F)$ . It is known that the space of Iwahori fi…

math.RT2023

Whittaker functions for Steinberg representations of $G L (n)$ over a $p$ -adic field

Ehud Moshe Baruch, Markos Karameris

Let $G = G L_{n} (F)$ and let $(π_{S t}, V)$ be a (generalized) Steinberg representation of $G$ . It is well known that the space of Iwahori fixed vectors in $V$ is one dimensional. The I…

math.NT2023

Eigenspaces of Newforms with Nontrivial Character

Markos Karameris

Let $S_{k} (Γ_{0} (N), χ)$ denote the space of holomorphic cuspforms with Dirichlet character $χ$ and modular subgroup $Γ_{0} (N)$ . We will characterize the space of newforms $S_{k}^{new}(…

math.NT2021

A computational proof of the existence of the Dual Isogeny

M. Karameris

For $E$ an elliptic curve over a perfect field $K$ , we present a proof of the existence of the dual isogeny $ϕ^$ using computational methods linked to Vélu's formulae instead of…

math.CV2019

Distribution of the Sequence [m]P in Elliptic Curves

Markos Karameris

Major controversy surrounds the use of Elliptic Curves in finite fields as Random Number Generators. There is little information however concerning the "randomness" of different pr…

Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of SL2​(Qp​)

Iwahori Spherical Whittaker Functions for Steinberg Representations

Whittaker functions for Steinberg representations of GL(n) over a p-adic field

Eigenspaces of Newforms with Nontrivial Character

A computational proof of the existence of the Dual Isogeny

Distribution of the Sequence [m]P in Elliptic Curves

Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of $SL_{2} (Q_{p})$

Whittaker functions for Steinberg representations of $G L (n)$ over a $p$ -adic field