On the distribution of squares of integers in rational quaternion algebrs

DOI10.1007/BF02941669zbMath1014.11059MaRDI QIDQ1858611

Gerald Kuba

Publication date: 13 February 2003

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

lattice pointsquaternionserror termasymptotic representationsdivision algebraDirichlet's divisor problemHamilton's quaternions

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (3)

On the distribution of powers of Gaussian integers ⋮ The distribution of powers of integers in algebraic number fields ⋮ Powers and roots in rational quaternion algebras

Cites Work

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• On rounding error sums related to the circle problem. II
• On the distribution of squares of integral quaternions II
• On the distribution of squares of integral quaternions

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