20 citations · 20 across the 1 of their papers we have counts for
7 papers
On the infinity of infinities of orders of the infinitely large and infinitely small
Leonhard Euler, Jordan Bell
Translation (by J.B.) from the original Latin of Euler's "De infinities infinitis gradibus tam infinite magnorum quam infinite parvorum" (1780). E507 in the Eneström index. Euler d…
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…
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…
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…
An observation on the sums of divisors
Leonhard Euler, Jordan Bell
Translation from the Latin of Euler's "Observatio de summis divisorum" (1752). E243 in the Enestroem index. The pentagonal number theorem is that $\prod_{n=1}^\infty (1-x^n)=\sum_{…
Expansion of the infinite product etc. into a simple series
Leonhard Euler, Jordan Bell
Translated from the Latin original "Evolutio producti infiniti etc. in seriem simplicem" (1775). E541 in the Enestroem index. In this paper…