English Title

On the cases in which the form x4 + kxxyy + y4 can be reduced to a square

Authors

Leonhard Euler

Enestrom Number

696

Fuss Index

57

Original Language

Latin

Published as

Journal article

Published Date

1797

Written Date

1777

Content Summary

Euler first notes that if the values 1, 3, 4, 5, 6, 7, etc. are substituted for k, then the formula x4 + kxxyy + y4 never gives a square, regardless of the values x and y. He repeats several of his results about Pell's equation.

Original Source Citation

Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 10, pp. 27-40.

Opera Omnia Citation

Series 1, Volume 4, pp.235-244.

Record Created

2018-09-25

Included in

Mathematics Commons

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