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Number fields and function fields: coalescences, contrasts and emerging applications. [PDF]

Philos Trans A Math Phys Eng Sci, 2015
Keating JP, Rudnick Z, Wooley TD.
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A Key Management Scheme Based on Pairing-Free Identity Based Digital Signature Algorithm for Heterogeneous Wireless Sensor Networks. [PDF]

Sensors (Basel), 2020
Yuan E, Wang L, Cheng S, Ao N, Guo Q.
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Topology and Dynamics of Transcriptome (Dys)Regulation. [PDF]

Int J Mol Sci
Planat M, Chester D.
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GEOMETRIC PROGRESSIONS ON ELLIPTIC CURVES. [PDF]

Glas Mat, 2017
Ciss AA, Moody D.
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A comprehensive survey on securing the social internet of things: protocols, threat mitigation, technological integrations, tools, and performance metrics. [PDF]

Sci Rep
Patil DA, G S.
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Dual blockchain-based data sharing mechanism with privacy protection for medical internet of things. [PDF]

Heliyon
Liu L, Liu R, Lv Z, Huang D, Liu X.
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On the Jacobian of a family of hyperelliptic curves

Osaka Journal of Mathematics, 2023
In this paper, the algebraic rank and the analytic rank of the Jacobian \(J_{m^2}\) of the hyperelliptic curve \(C_{m^2} : y^2 = x^5 + m^2\), where \(m\) is a square free-integer, are studied. It is proved, that there are infinitely many square-free integers \(m\) such that \(J_{m^2}(\mathbb{Q}) \cong \mathbb{Z}/5\mathbb{Z}\).
Jeong, Keunyoung, Park, Junyeong, Yhee, Donggeon   +2 more
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