English Title

Demonstration of the sum of the series 1 + 1/4 + 1/9 + 1/16 + ...

Authors

Leonhard Euler

Enestrom Number

63

Original Language

French

Published as

Journal article

Published Date

1743

Written Date

1741

Content Summary

The answer hasn't changed; it's still π2/6. He does the sum of the odd square reciprocals using an arcsine integral, and considers the differential equation (1−x2)y''xy' − 1 = 0.

Original Source Citation

Journal litteraire d'Allemagne, de Suisse et du Nord, Volume 2, pp. 115-127.

Opera Omnia Citation

Series 1, Volume 14, pp.177-186.

Record Created

2018-09-25

Included in

Mathematics Commons

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