On the Arkhipov–Karatsuba multivariate system of congruences
- Authors: Saliba H.M.1, Chubarikov V.N.2
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Affiliations:
- Notre Dame University
- Mechanics and Mathematics Faculty
- Issue: Vol 95, No 1 (2017)
- Pages: 76-78
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224812
- DOI: https://doi.org/10.1134/S1064562417010252
- ID: 224812
Cite item
Abstract
The Arkhipov–Karatsuba multivariate system of congruences modulo any prime greater than the degrees of forms in this system is solvable for any right-hand sides and any number of variables larger than 8(n + 1)mlog2(rn) + 12(n + 1)m + 4(n + 1), where n is the degree of the forms in the system and \(m = \left( {\begin{array}{*{20}{c}} {n + r - 1} \\ {r - 1} \end{array}} \right)\) is the number of congruences.
About the authors
H. M. Saliba
Notre Dame University
Email: chubarik2009@live.ru
Lebanon, Louaize
V. N. Chubarikov
Mechanics and Mathematics Faculty
Author for correspondence.
Email: chubarik2009@live.ru
Russian Federation, Moscow, 119991