J. Bell

activity

20042009

most citedOn the infinity of infinities of orders of the infinitely large and infinitely small

20 citations · 20 across the 1 of their papers we have counts for

collaborators

Showing 2004Show all

3 papers · 1 filter

math.HO2004

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_{…

math.HO2004

Expansion of the infinite product $(1 - x) (1 - xx) (1 - x^{3}) (1 - x^{4}) (1 - x^{5}) (1 - x^{6})$ etc. into a simple series

Leonhard Euler, Jordan Bell

Translated from the Latin original "Evolutio producti infiniti $(1 - x) (1 - xx) (1 - x^{3}) (1 x^{4}) (1 - x^{5}) (1 - x^{6})$ etc. in seriem simplicem" (1775). E541 in the Enestroem index. In this paper…

math.HO2004

On amicable numbers

Leonhard Euler, Jordan Bell

Translated from the Latin original, "De numeris amicabilibus" (1747). E100 in the Enestroem index. Euler starts by saying that with the success of mathematical analysis, number the…

An observation on the sums of divisors

Expansion of the infinite product (1−x)(1−xx)(1−x3)(1−x4)(1−x5)(1−x6) etc. into a simple series

On amicable numbers

Expansion of the infinite product $(1 - x) (1 - xx) (1 - x^{3}) (1 - x^{4}) (1 - x^{5}) (1 - x^{6})$ etc. into a simple series