Almost periodicity of the normalized representation numbers associated to positive definite ternary quadratic forms

DOI10.1006/JNTH.1998.2367zbMath0929.11013OpenAlexW2034066965MaRDI QIDQ1293128

Manfred Peter

Publication date: 31 January 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2367

zbMATH Keywords

asymptotic formulalimiting distributionarithmetical functionsternary quadratic formsalmost periodicitynumber of representations of integers

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Arithmetic functions; related numbers; inversion formulas (11A25) Harmonic analysis and almost periodicity in probabilistic number theory (11K70)

Related Items (1)

The limit distribution of a number theoretic function arising from a problem in statistical mechanics

Cites Work

• Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
• Moments of class numbers. III
• On the distribution of the values of quadratic L-series in the half-plane \(\sigma > 1/2\)
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