Copy For Citation
Akbal Y., Güloǧlu A. M.
Canadian Journal of Mathematics, vol.74, no.5, pp.1277-1309, 2022 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
74
Issue:
5
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Publication Date:
2022
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Doi Number:
10.4153/s0008414x21000237
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Journal Name:
Canadian Journal of Mathematics
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
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Page Numbers:
pp.1277-1309
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Keywords:
Chebotarev density theorem., Cyclicity conjecture, primes in arithmetic progressions, reduction of elliptic curves modulo primes
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TED University Affiliated:
Yes
Abstract
We consider the reduction of an elliptic curve defined over the rational numbers modulo primes in a given arithmetic progression and investigate how often the subgroup of rational points of this reduced curve is cyclic.