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Selecta mathematica (Basel, Switzerland), ISSN 1420-9020, 2013, Volume 20, Issue 2, pp. 491 - 584
...–Teichmüller (GT) group. The analogue of the Galois action on the profinite braid groups is an action of the arithmetic fundamental group of a moduli space of elliptic curves on the profinite braid groups in genus one... 
Braid groups in genus one | 11M32 | Grothendieck–Teichmüller theory | Mathematics, general | 17B35 (16S30) | Mathematics | Moduli spaces of elliptic curves | 20F36 | Elliptic associators | 32G34 | Grothendieck-Teichmüller theory | MATHEMATICS | MATHEMATICS, APPLIED | MARKED CURVES | GALOIS REPRESENTATIONS | Grothendieck-Teichmuller theory | MODULAR-FORMS | Algebra
Journal Article
Lecture notes in computer science, ISSN 0302-9743, 2006, Volume 3897, pp. 319 - 331
...; the best published results achieve ¿ = log(p)/log(r) ~ 5/4. In this paper we make the first step towards surpassing these limitations by describing a method to construct elliptic curves of prime order and embedding degree k = 12... 
Information Systems Applications (incl.Internet) | Data Encryption | Computer Science | Management of Computing and Information Systems | Algorithm Analysis and Problem Complexity | Computer Communication Networks | Operating Systems | Pairing-based cryptosystems | Elliptic curves | elliptic curves | COMPUTER SCIENCE, THEORY & METHODS | pairing-based cryptosystems
Journal Article
Journal Article
1978, ISBN 9780387084893, Volume 231., xi, 261
Book
2008, 2nd ed., Discrete mathematics and its applications, ISBN 9781420071467, xviii, 513
Book
1973, London Mathematical Society lecture note series, ISBN 0521200369, Volume 9, v, 248
A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves... 
Curves, Elliptic | Elliptic functions
Book
2012, ISBN 9780691151199, xvii, 253
Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture... 
Curves, Elliptic | Number theory | Elliptic functions | Mathematics | History & Philosophy | Abstract | PDZ | PBX | Calculus | PBKA | Geometry | Algebra | PBF | Algebraic | PBH | PBMW | Number Theory
Book
Journal of number theory, ISSN 0022-314X, 2019, Volume 204, pp. 1 - 24
We prove Boyd's conjectures relating Mahler's measures and values of L-functions of elliptic curves in the cases when the corresponding elliptic curve... 
Elliptic dilogarithms | Elliptic curves | Mahler measure | L-functions | Boyd identities | MATHEMATICS | REGULATOR | UNITS
Journal Article
2011, Student mathematical library : IAS/Park City mathematical subseries, ISBN 0821852426, Volume 58, xiv, 195
Book
Nagoya mathematical journal, ISSN 0027-7630, 12/2017, Volume 228, pp. 124 - 185
To a pair of elliptic curves, one can naturally attach two K3 surfaces: the Kummer surface of their product and a double cover of it, called the Inose surface... 
Article | Secondary 14J28 11G05 | 2010 Mathematics subject classification Primary 14J27 | MATHEMATICS | RANK | FIBRATIONS | Geometry | Algebra | Algorithms | Lattices | Mathematics | Elliptic functions | Curves (geometry) | Number theory
Journal Article
2003, Discrete mathematics and its applications, ISBN 1584883650, 440
Elliptic curves have played an increasingly important role in number theory and related fields over the last several decades, most notably in areas such as cryptography, factorization, and the proof... 
Cryptography | Curves, Elliptic | Number theory | ECIES | digital signature | Tate-Lichtenbaum pairing | Intelligent Systems | cryptography | elliptic curves | Lawrence C. Washington | Combinatorics | Cryptology | EIGamal | Discrete Mathematics | number theory
eBook
THEORETICAL AND MATHEMATICAL PHYSICS, ISSN 0040-5779, 11/2019, Volume 201, Issue 2, pp. 1565 - 1580
We propose a relativistic generalization of integrable systems describing M interacting elliptic gl(N) Euler-Arnold tops... 
CALOGERO | integrable top | PHYSICS, MULTIDISCIPLINARY | SYSTEMS | PHYSICS, MATHEMATICAL | spin Ruijsenaars-Schneider model | elliptic integrable system
Journal Article
1986, ISBN 9780387963716, Volume 111., xv, 350
Book
Computer aided geometric design, ISSN 0167-8396, 2018, Volume 61, pp. 9 - 19
In materials science and engineering, auxetic behavior refers to deformations of flexible structures where stretching in some direction involves lateral... 
Periodic framework | Elliptic curve | Auxetic deformation | Aronhold invariants | Zeolites | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | NEGATIVE-POISSONS-RATIO | Algorithms | elliptic curve | zeolites | auxetic deformation | periodic framework
Journal Article
The Ramanujan journal, ISSN 1572-9303, 2018, Volume 49, Issue 3, pp. 585 - 623
Journal Article
Sensors (Basel, Switzerland), ISSN 1424-8220, 2014, Volume 14, Issue 6, pp. 10081 - 10106
Journal Article
1987, 2nd ed., Graduate texts in mathematics, ISBN 9780387965086, Volume 112., xi, 326
Book
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