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On the distribution of integral points on cones

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Publication:476661
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DOI10.1007/s10958-011-0543-zzbMath1319.11068OpenAlexW2101440872MaRDI QIDQ476661

Oleg M. Fomenko

Publication date: 2 December 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0543-z


zbMATH Keywords

conesRankin-Selberg convolutionintegral points


Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Lattice points in specified regions (11P21)


Related Items (2)

On the number of representations of integers by quaternary quadratic forms ⋮ Lattice points in the four-dimensional ball



Cites Work

  • The average number of solutions of the Diophantine equation \(U^2+V^2=W^3\) and related arithmetic functions
  • The mean square of Dirichlet series associated with automorphic forms
  • The Rankin-Selberg method for non-holomorphic automorphic forms
  • An error term of Ramanujan
  • On character sums and class numbers
  • On the Representations of a Number as the Sum of Three Squares
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