On the arithmetic nature of definite integrals of rational functions

A. J. Van Der Poorten

doi:10.1090/S0002-9939-1971-0276180-X

On the arithmetic nature of definite integrals of rational functions

A. J. Van Der Poorten^*

^*Corresponding author for this work

Macquarie University Administration Unit

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

6 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 language	English
Pages (from-to)	451-456
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	29
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1971-0276180-X
Publication status	Published - 1971

Keywords

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

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10.1090/S0002-9939-1971-0276180-X

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KW - Algebraic number

KW - Definite integral

KW - Linear form

KW - Partial fraction expansion

KW - Rational function

KW - Transcendental number

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On the arithmetic nature of definite integrals of rational functions

Abstract

Keywords

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