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Integration in elementary terms

Masser, David. (2017) Integration in elementary terms. Newsletter London Mathematical Society (473). pp. 30-36.

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Official URL: https://edoc.unibas.ch/68741/

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Abstract

We explain this classical notion and describe a fundamental result of Liouville. We explain also why the main interest lies in the integration of algebraic functions. In principle the basic problem here was solved by Risch in 1970, but this does not su�ce to verify an assertion of Davenport from 1981 about families of algebraic functions. We describe how recent work of Zannier and the author establishes a corrected version.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser)
UniBasel Contributors:Masser, David
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:London Mathematical Society
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:17 Nov 2020 15:33
Deposited On:17 Nov 2020 15:33

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