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Arithmetic Progressions of Squares and Multiple Dirichlet Series

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 نشر من قبل David Lowry-Duda
 تاريخ النشر 2020
  مجال البحث
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We study a Dirichlet series in two variables which counts primitive three-term arithmetic progressions of squares. We show that this multiple Dirichlet series has meromorphic continuation to $mathbb{C}^2$ and use Tauberian methods to obtain counts for arithmetic progressions of squares and rational points on $x^2+y^2=2$.



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