13 citations · 17 across the 5 of their papers we have counts for
5 papers
Theoremata arithmetica nova methodo demonstrata
Leonhard Euler, Artur Diener, Alexander Aycock
Euler presents a third proof of the Fermat theorem, the one that lets us call it the Euler-Fermat theorem. This seems to be the proof that Euler likes best. He also proves that the…
Evolutio producti infiniti (1-x)(1-xx)(1-x^3)(1-x^4)(1-x^5) etc. in seriem simplicem
Leonhard Euler, Artur Diener, Alexander Aycock
This paper does exactly what the title says it does. It expands the given series to arrive at the familiar "pentagonal number" expansion, also known as the pentagonal number theore…
Methodus succincta summas serierum infinitarum per formulas differentiales investigandi
Leonhard Euler, Artur Diener, Alexander Aycock
This paper has more formal series with Bernoulli numbers and the Riemann zeta function. He gives the generating function for the Bernoulli numbers. The paper is translated from the…
Variae considerationes circa series hypergeometricas
Leonhard Euler, Artur Diener, Alexander Aycock
Euler gives an asymptotic approximation for the function f(x) and recognizes that he is trying to interpolate the factorial function introduced in E19 "De progressionibus transcend…
Nova series infinita maxime convergens perimetrum ellipsis exprimens
Leonhard Euler, Artur Diener, Alexander Aycock
The title says what is done here. Euler finds a news series for the arc of an ellipse. The paper is translated from the Latin original into German.