Lattice points in the four-dimensional ball

DOI10.1007/s10958-018-4040-5zbMath1420.11129OpenAlexW2892200018WikidataQ129272253 ScholiaQ129272253MaRDI QIDQ1992036

Oleg M. Fomenko

Publication date: 2 November 2018

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

Full work available at URL: https://doi.org/10.1007/s10958-018-4040-5

zbMATH Keywords

generating functionnumber of representationsRiesz meanEpstein zeta functionsum of four squares

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Lattice points in specified regions (11P21) Class numbers of quadratic and Hermitian forms (11E41)

Cites Work

• On the distribution of integral points on cones
• On the mean square formula of the error term for a class of arithmetical functions
• On the sphere problem
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• Large values of error terms of a class of arithmetical functions
• Hecke's functional equation and the average order of arithmetical functions
• Lattice points in ellipsoids
• Hilbert's Inequality
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