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

Alp Bassa; Peter  Beelen

doi:10.1007/s00013-012-0423-x

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

Alp Bassa
, Peter Beelen

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

In this paper we give a closed-form expression for the Drinfeld modular polynomial ΦT (X, Y ) ∈ Fq(T)[X, Y ] for arbitrary q and prove a conjecture of Schweizer. A new identity involving the Catalan numbers plays a central role.

Original language	English
Journal	Archiv der Mathematik
Volume	99
Issue number	3
Pages (from-to)	237-245
ISSN	0003-889X
DOIs	https://doi.org/10.1007/s00013-012-0423-x
Publication status	Published - 2012

Keywords

Drinfeld modular polynomial
Catalan numbers
Drinfeld modular curves

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10.1007/s00013-012-0423-x

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Cite this

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title = "A closed form expression for the Drinfeld modular polynomial ΦT (X, Y )",

abstract = "In this paper we give a closed-form expression for the Drinfeld modular polynomial ΦT (X, Y ) ∈ Fq(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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T1 - A closed form expression for the Drinfeld modular polynomial ΦT (X, Y )

AU - Bassa, Alp

AU - Beelen, Peter

PY - 2012

Y1 - 2012

N2 - In this paper we give a closed-form expression for the Drinfeld modular polynomial ΦT (X, Y ) ∈ Fq(T)[X, Y ] for arbitrary q and prove a conjecture of Schweizer. A new identity involving the Catalan numbers plays a central role.

AB - In this paper we give a closed-form expression for the Drinfeld modular polynomial ΦT (X, Y ) ∈ Fq(T)[X, Y ] for arbitrary q and prove a conjecture of Schweizer. A new identity involving the Catalan numbers plays a central role.

KW - Drinfeld modular polynomial

KW - Catalan numbers

KW - Drinfeld modular curves

U2 - 10.1007/s00013-012-0423-x

DO - 10.1007/s00013-012-0423-x

M3 - Journal article

SN - 0003-889X

VL - 99

SP - 237

EP - 245

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 3

ER -