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A GENERALIZATION OF THE RAMANUJAN–NAGELL EQUATION

Published online by Cambridge University Press:  22 August 2018

TOMOHIRO YAMADA*
Affiliation:
Center for Japanese Language and Culture, Osaka University, 8-1-1, Aomatanihigashi, Minoo, Osaka 562-8558, Japan e-mail: [email protected]
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Abstract

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We shall show that, for any positive integer D > 0 and any primes p1, p2, the diophantine equation x2 + D = 2sp1kp2l has at most 63 integer solutions (x, k, l, s) with x, k, l ≥ 0 and s ∈ {0, 2}.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

References

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