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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
( Vol. 64 NO.1 / (1994))
A Note on the Diophantine Equation $\it {x}$^2 + 1=$\it {dy}$^4

Pages. 1-10
Abstract In this paper we prove that the Diophantine equation as in the title has at most one integer solution if $$eqsilon > 5 imes 10^7$$,// where $eqsilon = u + uqsilon sqrt {d}$ is the least positive solution of Pell's equation $$it {x}^2 - it {dy}^2 = -1$$. 1.Introduction 2.Some Lemmas 3.Proof of Theroem 1