Singular functions in the problem of the weighted number of integer points on multidimensional hyperboloids of special form

DOI10.1134/S0001434619010292zbMath1459.11191WikidataQ128115878 ScholiaQ128115878MaRDI QIDQ2313635

U. M. Pachev, R. A. Dokhov

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

singular integralcircle methodRamanujan sumsingular seriesdouble Gauss summultidimensional hyperboloidweighted number of integer points

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Lattice points in specified regions (11P21) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (1)

On an asymptotics of the number of representations of a pair of integers by quadratic and linear forms with congruential condition

Cites Work

• On the number of integer points whose first coordinates satisfy a divisibility condition on hyperboloids of a special form
• On the number of classes of Gaussian genus whose arithmetic minimum is divisible by the square of a given odd number
• Об особых функциях в задаче о взвешенном числе целых точек на многомерных гиперболоидах специального вида
• Representation of integers by isotropic ternary quadratic forms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Singular functions in the problem of the weighted number of integer points on multidimensional hyperboloids of special form