On the arithmetic nature of definite integrals of rational functions

A. J. Van Der Poorten*

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A. Baker’s theorems on linear forms in the logarithms of algebraic numbers imply information on the arithmetic nature of definite integrals of rational functions. This paper provides a convenient formulation of these implied results.

Original languageEnglish
Pages (from-to)451-456
Number of pages6
JournalProceedings of the American Mathematical Society
Volume29
Issue number3
DOIs
Publication statusPublished - 1971

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Keywords

  • Algebraic number
  • Definite integral
  • Linear form
  • Partial fraction expansion
  • Rational function
  • Transcendental number

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