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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Chains of quadratic residues

Author: Hansraj Gupta
Journal: Math. Comp. 25 (1971), 379-382
MSC: Primary 10A15
MathSciNet review: 0297684
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Abstract: The problem considered in this paper is that of finding longest chains of the type: ${r_1},{r_2},{r_3}, \cdots ,{r_m}$, for which the $m(m + 1)/2$ sums ${r_i} + {r_{i + 1}} + {r_{i + 2}} + \cdots + {r_j},1 \leqq i \leqq j \leqq m$, will be distinct quadratic residues of a given prime p.

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Keywords: Chains of quadratic residues, cycles of quadratic residues, configurations, lengths of chains, reciprocation
Article copyright: © Copyright 1971 American Mathematical Society