Goran Mui'c

activity

20132022

most citedOn Representations of Reductive

p

--adic Groups over

Q

--algebras

2 citations · 3 across the 10 of their papers we have counts for

collaborators

13 papers

math.NT2022

On Higher Order Weierstrass Points on $X_{0} (N)$

Goran Muić, Damir Mikoč

Let $Γ$ be the Fuchsian group of the first kind. For an even integer $m \geq 4$ , we describe the space $H^{m /2} (R_{Γ})$ of $m /2$ --holomorphic differentials in term…

math.NT2022

On degrees in family of maps constructed via modular forms

Goran Muić

This paper is a continuation of our previous works (see Muić in Monatsh. Math. 180, no. 3, 607--629, (2016)) and (Muić, Kodrnja in Ramanujan J. 55, no. 2, 393--420, (2021)) where w…

math.NT2021

Hilbert's Irreducibility, Modular Forms, and Computation of Certain Galois Groups

Iva Kodrnja, Goran Muić

In this paper we discuss applications of our earlier work in studying certain Galois groups and splitting fields of rational functions in $Q (X_{0} (N))$ using Hilbe…

math.NT2021

On $m$ --fold Holomorphic Differentials and Modular Forms

Damir Mikoč, Goran Muić

Let $Γ$ be the Fuchsian group of the first kind. For an even integer $m \geq 4$ , we study $m /2$ -holomorphic differentials in terms of space of (holomorphic) cuspidal modular forms $S…

math.RT2019

On the Schwartz space $S (G (k) \ G (A))$

Goran Muić, Sonja Žunar

For a connected reductive group $G$ defined over a number field $k$ , we construct the Schwartz space $S (G (k) \ G (A))$ . This space is an adelic vers…

math.NT2019★ 2 cited

On Representations of Reductive $p$ --adic Groups over $Q$ --algebras

Goran Muić

In this paper we study certain category of smooth modules for reductive $p$ --adic groups analogous to the usual smooth complex representations but with the field of complex numbers…

math.RT2019

On Ideals Defining Irreducible Representations of Reductive $p$ --adic Groups

Goran Muić

Let $G$ be a reductive $p$ --adic group. Assume that $L \subset G$ is an open--compact subgroup, and $H_{L}$ is the Hecke algebra of $L$ --biinivariant complex functions on $G$ …

math.RT2018

A Remark on a Trace Paley--Wiener Theorem

Goran Muić

In this paper we prove a version of a trace Paley--Wiener theorem for tempered representations of a reductive $p$ --adic group. This is applied to complete certain investigation of…

math.NT2018

On primitive elements of algebraic function fields and models of $X_{0} (N)$

Iva Kodrnja, Goran Muić

This paper is a continuation of our previous works where we study maps from $X_{0} (N)$ , $N \geq 1$ , into $P^{2}$ constructed via modular forms of the same weight and criteria th…

math.NT2017

Some Results on the Schwartz Space of $Γ\ G$

Goran Muić

Let $G$ be a connected semisimple Lie group with finite center. Let $Γ \subset G$ be a discrete subgroup. We study closed admissible irreducible subrepresentations of the space of d…

math.NT2015★ 1 cited

On Existence of Generic Cusp Forms on Semisimple Algebraic Groups

Allen Moy, Goran Muić

In this paper we discuss the existence of certain classes of cuspidal automorphic representations having non-zero Fourier coefficients for general semisimple algebraic group $G$ de…

math.NT2015

Fourier Coefficients of Automorphic Forms and Integrable Discrete Series

Goran Muić

Let $G$ be the group of $R$ --points of a semisimple algebraic group $G$ defined over $Q$ . Assume that $G$ is connected and noncompact. We study Fourier coe…

math.NT2013

Integral Models of $X_{0} (N)$ and Their Degrees

Goran Muić

In this paper we compute the degree of a curve which is the image of a mapping $z ⟼ (f (z) : g (z) : h (z))$ constructed out of three linearly independent modular forms of the…

On Higher Order Weierstrass Points on X0​(N)

On degrees in family of maps constructed via modular forms

Hilbert's Irreducibility, Modular Forms, and Computation of Certain Galois Groups

On m--fold Holomorphic Differentials and Modular Forms

On the Schwartz space S(G(k)\G(A))

On Representations of Reductive p--adic Groups over Q--algebras

On Ideals Defining Irreducible Representations of Reductive p--adic Groups

A Remark on a Trace Paley--Wiener Theorem

On primitive elements of algebraic function fields and models of X0​(N)

Some Results on the Schwartz Space of Γ\G

On Existence of Generic Cusp Forms on Semisimple Algebraic Groups

Fourier Coefficients of Automorphic Forms and Integrable Discrete Series

Integral Models of X0​(N) and Their Degrees

On Higher Order Weierstrass Points on $X_{0} (N)$

On $m$ --fold Holomorphic Differentials and Modular Forms

On the Schwartz space $S (G (k) \ G (A))$

On Representations of Reductive $p$ --adic Groups over $Q$ --algebras

On Ideals Defining Irreducible Representations of Reductive $p$ --adic Groups

On primitive elements of algebraic function fields and models of $X_{0} (N)$

Some Results on the Schwartz Space of $Γ\ G$

Integral Models of $X_{0} (N)$ and Their Degrees