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  • 1 Department of Mathematics, McAllister Building, Pennsylvania State University, University Park, PA, 16802-6401, U.S.A.
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We prove an asymptotic formula for the average number of solutions to the Diophantine equation axyxy=n in which a is fixed and n varies.

  • [1] Misiurewicz, M. 1966 Ungelöste Probleme Elem. Math. 21 90.

  • [2] Montgomery, H. L. 1971 Topics in Multiplicative Number Theory . Springer-Verlag.

  • [3] Montgomery, H. L., Vaughan, R. C. 2007 Multiplicative Number Theory I. Classical Theory Cambridge University Press.

  • [4] Titchmarsh, E. C., The Riemann Zeta-Function, 2nd ed., revised by Heath-Brown, D. R. (Oxford, 1986).

  • [5] Viola, C. 1973 On the diophantine equation and Acta Arith. 22 339352.

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Acta Mathematica Hungarica
Language English
Size B5
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1950
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ISSN 0236-5294 (Print)
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