A closed form expression for the Drinfeld modular polynomial $Φ_T(X,Y)$

Alp Bassa; Peter Beelen

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arXiv · 1203.6288

A closed form expression for the Drinfeld modular polynomial $Φ_T(X,Y)$

Alp Bassa·Peter Beelen

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Abstract

In this paper we give a closed form expression for the Drinfeld modular polynomial $Φ_T(X,Y) \in \mathbb{F}_q(T)[X,Y]$ for arbitrary $q$ and prove a conjecture of Schweizer. A new identity involving the Catalan numbers plays a central role.

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BibTeX RIS

Alp Bassa, Peter Beelen. 2012-03-28. A closed form expression for the Drinfeld modular polynomial $Φ_T(X,Y)$. https://arxiv.org/abs/1203.6288

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