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math.HO2005
Euler and the pentagonal number theorem
Jordan Bell
``In this paper we give the history of Leonhard Euler's work on the pentagonal number theorem, and his applications of the pentagonal number theorem to the divisor function, partit…
math.HO2005
A demonstration of a theorem on the order observed in the sums of divisors
Leonhard Euler, Jordan Bell
Translation from the Latin of Euler's "Demonstratio theorematis circa ordinem in summis divisorum observatum" (1760). E244 in the Enestroem index. In his previous paper E243, Euler…
math.HO2005
An arithmetic theorem and its demonstration
Leonhard Euler, Jordan Bell
Translated from the Latin original, "Theorema arithmeticum eiusque demonstratio", Commentationes arithmeticae collectae 2 (1849), 588-592. E794 in the Enestroem index. For m distin…