1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GM2021★ 1 cited
Faulhaber's Formula, Odd Bernoulli Numbers, and the Method of Partial Sums
Ryan Zielinski
Let ``Faulhaber's formula'' refer to an expression for the sum of powers of integers written with terms in n(n+1)/2. Initially, the author used Faulhaber's formula to explain why o…
math.HO2018★ 1 cited
Faulhaber and Bernoulli
Ryan Zielinski
In this note we will use Faulhaber's Formula to explain why the odd Bernoulli numbers are equal to zero.
math.GM2016
Induction and Analogy in a Problem of Finite Sums
Ryan Zielinski
What is a general expression for the sum of the first n integers, each raised to the mth power, where m is a positive integer? Answering this question will be the aim of the paper.…