Analytical Relations and Statistical Estimations for Sums of Powered Integers

Analytical Relations and Statistical Estimations for Sums of Powered Integers

Finding analytical closed-form solutions for the sums of powers of the first <i>n</i> positive integers is a classical problem of number theory. Analytical methods of constructing such sums produce complicated formulae of polynomials of a higher order, but they can be presented via the f...

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Bibliographic Details
Main Author: Stan Lipovetsky
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
Subjects:
power sums of integers
Nicomachus theorem
Faulhaber polynomials
algebraic functions
relations between sums of different powers
regression models for sums
Online Access:https://www.mdpi.com/2075-1680/14/1/30
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