Uniform distribution of integral points on 3-dimensional spheres via modular forms

DOI10.1016/0022-314X(79)90041-6zbMath0413.10037MaRDI QIDQ1260070

David H. Johnson, Richard F. Arenstorf

Publication date: 1979

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Eisenstein seriestheta functionKloosterman sumsuniform distributionFourier coefficients of cusp formsHecke's summationlattice point in R3

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Hyperbolic distribution problems and half-integral weight Maass forms ⋮ Thetareihen positiv definiter quadratischer Formen

Cites Work

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• Über die Gleichverteilung von Gitterpunkten auf m-dimensionalen Ellipsoiden
• On the Representations of a Number as a Sum of Three Squares
• Note on the Kloosterman Sum
• Shorter Notes: Note on Salie's Sum
• On Some Exponential Sums
• On the Representations of a Number as the Sum of Three Squares

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