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Representations of integers by certain positive definite binary quadratic forms

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We prove part of a conjecture of Borwein and Choi concerning an estimate on the square of the number of solutions to n=x 2+Ny 2 for a squarefree integer N.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, Queen’s University, Kingston, ON, Canada, K7L 3N6

    M. Ram Murty

  2. Max Planck Institute für Mathematik, Vivatsgasse 7, 53111, Bonn, Germany

    Robert Osburn

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  1. M. Ram Murty
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  2. Robert Osburn
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Correspondence to M. Ram Murty.

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Ram Murty, M., Osburn, R. Representations of integers by certain positive definite binary quadratic forms. Ramanujan J 14, 351–359 (2007). https://doi.org/10.1007/s11139-007-9032-x

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  • DOI: https://doi.org/10.1007/s11139-007-9032-x

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