ArticleOriginal scientific text

Title

The Diophantine equation x2+qm=pn

Authors 1

Affiliations

  1. Department of Mathematics, School of Science and Engineering, Waseda University, Okubo, Shinjuku, Tokyo 169, Japan

Bibliography

  1. R. Alter and K. K. Kubota, The diophantine equation x² + D =pⁿ, Pacific J. Math. (1) 46 (1973), 11-16.
  2. L. Jeśmanowicz, Kilka uwag o liczbach pitagorejskich [ Some remarks on Pythagorean numbers], Wiadom. Mat. 1 (1956), 196-202.
  3. W. Ljunggren, Zur Theorie der Gleichung x² + 1=Dy⁴, Avh. Norske Vid. Akad. Oslo 5 (1942), 1-27.
  4. W. Sierpiński, O równaniu 3x+4y=5z [On the equation 3x+4y=5z], Wiadom. Mat. 1 (1956), 194-195.
  5. W. Sierpiński, Elementary Theory of Numbers, PWN-Polish Scientific Publishers, Warszawa 1988.
  6. C. Störmer, L'équation m arctan(1/x) +n arctan(1/y) = k(π/4), Bull. Soc. Math. France 27 (1899), 160-170.
Pages:
351-358
Main language of publication
English
Received
1992-03-31
Accepted
1992-07-20
Published
1993
Exact and natural sciences