De summatione serierum in hac forma contentarum a/1 + a²/4 + a³/9 + a⁴/16 + a⁵/25 + a⁶/36 + etc.

English Title

On the summation of series contained in the form a/1 + a²/4 + a³/9 + a⁴/16 + a⁵/25 + a⁶/36 + etc.

Authors

Leonhard Euler

Enestrom Number

736

Fuss Index

187

Original Language

Latin

Content Summary

Euler calls the function f(a) and splits it into two parts, an odd part and an even part, then evaluates f(1/2).

Published as

Journal article

Published Date

1811

Written Date

1779

Original Source Citation

Mémoires de l'académie des sciences de St.-Petersbourg, Volume 3, pp. 26-42.

Opera Omnia Citation

Series 1, Volume 16B, pp.117-138.

Record Created

2018-09-25