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Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces

Volume 214 / 2024

D. R. Heath-Brown Acta Arithmetica 214 (2024), 23-37 MSC: Primary 11D45; Secondary 11G35, 11R44, 14G05. DOI: 10.4064/aa230105-10-3 Published online: 4 May 2023

Abstract

We present a general method for handling problems that ask for the equidistribution of solutions to equations involving $m^2+n^2$, and illustrate it by considering $p+m^2+n^2=N$.

Authors

  • D. R. Heath-BrownMathematical Institute
    University of Oxford
    Oxford, OX2 6GG, United Kingdom
    e-mail

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