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Physical Sciences and Mathematics Commons

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Mathematics

University of the Pacific

Journal

2024

Lagrange

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Full-Text Articles in Physical Sciences and Mathematics

Research On Arithmetic, Erik R. Tou Apr 2024

Research On Arithmetic, Erik R. Tou

Euleriana

In this English translation, some of Joseph-Louis Lagrange's early number theory is presented. Here, he laid out a theory of binary quadratic forms with special attention to the representation problem: determining those integers which may be represented by a given form, and cataloguing the possible forms of their divisors.