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On sums of two coprime k-th powers

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Publication:1123925
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DOI10.1007/BF01300066zbMath0678.10034OpenAlexW2050978428MaRDI QIDQ1123925

Werner Georg Nowak

Publication date: 1989

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178436


zbMATH Keywords

Riemann Hypothesisexponent pairprimitive lattice pointsestimation of exponential sumsasymptotic formula for the summatory function


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Estimates on character sums (11L40) Lattice points in specified regions (11P21)


Related Items (2)

On sums of two coprime \(k\)-th powers. II ⋮ On sums of two coprime cubes




Cites Work

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  • Lattice points in domains \(| x|\) \(p+| y|\) p\(\leq R\) p
  • On the number of primitive lattice points in plane domains
  • On the divisor and circle problems
  • Primitive lattice points in rational ellipses and related arithmetic functions
  • On a problem in the additive theory of numbers. IV
  • Exponential Sums and the Riemann Zeta Function
  • Exponnential Sums with a Parameter
  • Exponential Sums and Lattice Points
  • Exponential Sums and the Riemann Zeta-Function II




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