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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 227, Pages 5–8
(Mi znsl4257)
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This article is cited in 1 scientific paper (total in 1 paper)
Computation of the number of representations of the elements of the ring $\mathbb Z/d\mathbb Z$ as a sum of squares
G. V. Abramov, P. M. Vinnik Saint-Petersburg State University
Abstract:
The number of representations of the elements of the ring $\mathbb Z/d\mathbb Z$ as a sum of invertible squares is computed, provided that each square occurs in the sum no more than a fixed number of times. For prime $d$ an exhaustive answer is given in terms of the class number and the fundamental unit of the real quadratic field $\mathbb Q(\sqrt d)$. Bibliography: 5 titles.
Received: 15.01.1995
Citation:
G. V. Abramov, P. M. Vinnik, “Computation of the number of representations of the elements of the ring $\mathbb Z/d\mathbb Z$ as a sum of squares”, Problems in the theory of representations of algebras and groups. Part 4, Zap. Nauchn. Sem. POMI, 227, POMI, St. Petersburg, 1995, 5–8; J. Math. Sci. (New York), 89:2 (1998), 1079–1081
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https://www.mathnet.ru/eng/znsl4257 https://www.mathnet.ru/eng/znsl/v227/p5
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Abstract page: | 109 | Full-text PDF : | 49 |
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