2 citations · 3 across the 5 of their papers we have counts for
5 papers
Blissard's trigonometric series with closed-form sums
Jacques Gélinas
This is a summary and verification of an elementary note written by John Blissard in 1862 for the Messenger of Mathematics. A general method of discovering trigonometric series hav…
Definitions, notations and proofs for Bernoulli numbers
Jacques Gélinas
This is a collection of definitions, notations and proofs for the Bernoulli numbers appearing in formulas for the sum of integer powers, some of which can be found scattered…
Original proofs of Stirling's series for log(n!)
Jacques Gélinas
Transcription into modern notations of the derivation by Stirling and De Moivre of an asymptotic series for , usually called Stirling's series. The previous discovery by…
Note on a proposed proof of the Riemann Hypothesis by Jin Gyu Lee
Jacques Gélinas
This is a reformulation and refutation of a proposed proof of the Riemann hypothesis published in 2013 (arXiv:1305.0323) and in 2014 (arXiv:1402.2822). Proceeding by contradiction,…
An easy method for finding the integral of the formula when the upper limit of integration is or
Leonhard Euler, Jacques Gélinas
This is a translation of an article presented by Leonhard Euler on 18 March 1776 (Opera Omnia I-XVIII, pp. 265-290) and of summaries for it by Siméon Denis Poisson in 1820 and by H…