HISTORY OF SERIES THEORY: FROM BINOMIAL FORMULA OF ISAAC NEWTON TO SOLUTION OF BASEL PROBLEM BY LEONHARD EULER

The given paper presents some historical facts from theory of functional, power, and number series, as well as history of solving of so-called Basel problem. This problem is rather famous question in the history of mathematics, named after the city in Switzerland, where world-famous mathematician Leonhard Euler studied. The problem asks for exact sum of reciprocals of squares of natural numbers.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-02-20
DOI
https://doi.org/10.5281/zenodo.14909990
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

HISTORY OF SERIES THEORY: FROM BINOMIAL FORMULA OF ISAAC NEWTON TO SOLUTION OF BASEL PROBLEM BY LEONHARD EULER

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

HISTORY OF SERIES THEORY: FROM BINOMIAL FORMULA OF ISAAC NEWTON TO SOLUTION OF BASEL PROBLEM BY LEONHARD EULER

article en

Abstract

The given paper presents some historical facts from theory of functional, power, and number series, as well as history of solving of so-called Basel problem. This problem is rather famous question in the history of mathematics, named after the city in Switzerland, where world-famous mathematician Leonhard Euler studied. The problem asks for exact sum of reciprocals of squares of natural numbers.

Zenodo (CERN European Organization for Nuclear Research)
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HISTORY OF SERIES THEORY: FROM BINOMIAL FORMULA OF ISAAC NEWTON TO SOLUTION OF BASEL PROBLEM BY LEONHARD EULER · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS