Abstract
The number of representations of the elements of the ringℤ/dℤ as a sum of invertible squares is computed, provided that each square occurs in the sum no more tha a fized number of times. For prime d an exhaustive answer is given in term of the class number and the fundamental unit of the real quadratic field\(\mathbb{Q}(\sqrt d )\). Biblography: 5 titles.
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References
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Additional information
Translted fromZapiski Nauchnykh Seminarov POMI, Vol. 227, 1995, pp. 5–8.
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Abramov, G.V., Vinnik, P.M. Computation of the number representations of the elements of the ringℤ/dℤ as a sum of squares. J Math Sci 89, 1079–1081 (1998). https://doi.org/10.1007/BF02355851
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DOI: https://doi.org/10.1007/BF02355851