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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2024 MCQ for Mathematics of Computation is 1.78.

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Chains of quadratic residues
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by Hansraj Gupta PDF
Math. Comp. 25 (1971), 379-382 Request permission

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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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 379-382
  • MSC: Primary 10A15
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0297684-8
  • MathSciNet review: 0297684