Identities for Anderson generating functions for Drinfeld modules Academic Article

abstract

• Anderson generating functions are generating series for division values of points on Drinfeld modules, and they serve as important tools for capturing periods, quasi-periods, and logarithms. They have been fundamental in recent work on special values of positive characteristic L-series and in transcendence and algebraic independence problems. In the present paper we investigate techniques for expressing Anderson generating functions in terms of the defining polynomial of the Drinfeld module and determine new formulas for periods and quasi-periods. 2013 Springer-Verlag Wien.

authors

• Papanikolas, Matthew

published proceedings

• MONATSHEFTE FUR MATHEMATIK

author list (cited authors)

• El-Guindy, A., & Papanikolas, M. A.

citation count

• 12

complete list of authors

• El-Guindy, Ahmad||Papanikolas, Matthew A

publication date

• April 2014

publisher

• Springer Nature  Publisher

published in

• Monatshefte fuer Mathematik  Journal

keywords

• Anderson Generating Functions
• Drinfeld Logarithms
• Drinfeld Modules
• Periods
• Quasi-periods
• Shadowed Partitions

Digital Object Identifier (DOI)

• 10.1007/s00605-013-0543-9

start page

• 471

end page

• 493

volume

• 173

issue

• 4

URL

• http://dx.doi.org/10.1007/s00605-013-0543-9