Quantum j-invariant in positive characteristic II: formulas and values at the quadratics

L. Demangos; T. M. Gendron

doi:10.1007/s00013-016-0920-4

Quantum j-invariant in positive characteristic II: formulas and values at the quadratics

L. Demangos
, T. M. Gendron^*

^*Corresponding author for this work

Stellenbosch University
Universidad Nacional Autónoma de México

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this sequel to Demangos and Gendron (Arch Math 107:23–35, 2016), the multi-valued quantum j-invariant in positive characteristic is studied at quadratic elements. For every quadratic f, an explicit expression for each of the values of j^qt(f) is given as a limit of rational functions of f. It is proved that the number of values of j^qt(f) is finite.

Original language	English
Pages (from-to)	159-166
Number of pages	8
Journal	Archiv der Mathematik
Volume	107
Issue number	2
DOIs	https://doi.org/10.1007/s00013-016-0920-4
Publication status	Published - 1 Aug 2016
Externally published	Yes

Keywords

Diophantine approximation
Global function field
Quadratic extensions
Quantum j-invariant

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10.1007/s00013-016-0920-4

Cite this

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abstract = "In this sequel to Demangos and Gendron (Arch Math 107:23{\textendash}35, 2016), the multi-valued quantum j-invariant in positive characteristic is studied at quadratic elements. For every quadratic f, an explicit expression for each of the values of jqt(f) is given as a limit of rational functions of f. It is proved that the number of values of jqt(f) is finite.",

keywords = "Diophantine approximation, Global function field, Quadratic extensions, Quantum j-invariant",

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N2 - In this sequel to Demangos and Gendron (Arch Math 107:23–35, 2016), the multi-valued quantum j-invariant in positive characteristic is studied at quadratic elements. For every quadratic f, an explicit expression for each of the values of jqt(f) is given as a limit of rational functions of f. It is proved that the number of values of jqt(f) is finite.

AB - In this sequel to Demangos and Gendron (Arch Math 107:23–35, 2016), the multi-valued quantum j-invariant in positive characteristic is studied at quadratic elements. For every quadratic f, an explicit expression for each of the values of jqt(f) is given as a limit of rational functions of f. It is proved that the number of values of jqt(f) is finite.

KW - Diophantine approximation

KW - Global function field

KW - Quadratic extensions

KW - Quantum j-invariant

UR - https://www.scopus.com/pages/publications/84976259039

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JF - Archiv der Mathematik

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ER -

Quantum j-invariant in positive characteristic II: formulas and values at the quadratics

Abstract

Keywords

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