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โ‡ฑ "Variae observationes circa series infinitas" by Leonhard Euler


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English Title

Various observations about infinite series

Authors

Leonhard Euler

Enestrom Number

72

Fuss Index

121

Original Language

Latin

Content Summary

This is the paper in which Euler product expansions first appeared. Among other things, he uses it to show that the reciprocal prime sum is asymptotic to log(log(x)) as x approaches โˆž.

Published as

Journal article

Published Date

1744

Written Date

1737

Original Source Citation

Commentarii academiae scientiarum Petropolitanae, Volume 9, pp. 160-188.

Opera Omnia Citation

Series 1, Volume 14, pp.217-244.

Record Created

2018-09-25

Additional Files
E072en.pdf (177 kB)
E072de.pdf (169 kB)
E072en.pdf (177 kB)

E072de.pdf (169 kB)

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