Rational Functions as Sums of Reciprocals of Polynomials

An algorithm is given to express a proper rational function (i.e., the degree of the denominator exceeds that of the numerator) over any field as an alternating sum of reciprocals of polynomials of increasing degree. This is analogous to existing algorithms for representing proper rational numbers.

Authors

Neil Epstein (ORCID: https://orcid.org/0000-0003-2167-2001)

Institutions

Twitter (United States) (US)

Publication Details

Journal: American Mathematical Monthly
Published: 2024-08-12
DOI: https://doi.org/10.1080/00029890.2024.2379749
Citations: 3
Primary Topic: Mathematics and Applications
Type: article
Field-Weighted Citation Impact: 3.04

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article

Rational Functions as Sums of Reciprocals of Polynomials

Neil Epstein

Aug 12, 2024

3 citations

American Mathematical Monthly

Mathematics and Applications

3.04

article

Rational Functions as Sums of Reciprocals of Polynomials

Neil Epstein

August 12, 2024article en

3 citations

Abstract

American Mathematical MonthlyVol. 131(9)

Twitter (United States) (US)

Openalex Percentile: Top 9%

Mathematics and Applications

3.04

DOI Open Access PDF OpenAlex

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Rational Functions as Sums of Reciprocals of Polynomials — Neil Epstein · American Mathematical Monthly (2024) | TGRS Research Map | TGRS