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Abstract analytic number theory
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#	Item
171	Efficient Indifferentiable Hashing into Ordinary Elliptic Curves⋆ Eric Brier1 , Jean-S´ebastien Coron2 , Thomas Icart2⋆⋆ , David Madore3 , Hugues Randriam3 , and Mehdi Tibouchi2,4⋆ ⋆ ⋆ 1 Ingenico Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2014-06-03 09:18:30 Elliptic curves Analytic number theory Elliptic curve Group theory Oracle machine Boneh/Franklin scheme Supersingular elliptic curve Prime number Algebraic curve Abstract algebra Cryptography Mathematics
172	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 00, Number 0, Xxxx XXXX, Pages 000–000 S[removed]XX[removed]KAMIENNY’S CRITERION AND THE METHOD OF COLEMAN Add to Reading List Source URL: people.math.gatech.edu Language: English - Date: 2014-08-15 10:34:42 Group theory Analytic number theory Elliptic curve Abelian variety P-adic number Abstract algebra Mathematics Number theory
173	ON THE RANK OF ELLIPTIC CURVES COMING FROM RATIONAL DIOPHANTINE TRIPLES JULIÁN AGUIRRE, ANDREJ DUJELLA, AND JUAN CARLOS PERAL Abstract. We construct a family of Diophantine triples {c1 (t), c2 (t), c3 (t)} such that the Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2010-04-16 13:40:09 Elliptic curve Group theory Topology Number theory Curve Mathematics Geometry Analytic number theory
174	Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank Mirela Juki´c Bokun Abstract For each of the torsion groups Z/2Z⊕Z/10Z, Z/2Z⊕Z/12Z, Z/15Z Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2014-07-23 10:55:12 Elliptic curves Analytic number theory Curvature Differential geometry Abelian varieties Torsion subgroup Torsion Mordell–Weil theorem Modular form Abstract algebra Mathematics Mathematical analysis
175	Sumsets being squares Andrej Dujella, Christian Elsholtz March 4, 2013 Abstract Alon, Angel, Benjamini and Lubetzky recently studied an old problem of Euler on sumsets for which all elements of A + B are integer squares. Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2013-07-02 04:18:08 Group theory Sumset Pythagorean triple Number theory Exponentiation Mathematics Analytic number theory Elliptic curve
176	Component Groups of Purely Toric Quotients William A. Stein Brian Conrad April 21, 2003 Add to Reading List Source URL: wstein.org Language: English - Date: 2003-04-21 20:03:36 Niels Henrik Abel Homotopy theory Algebraic topology Analytic number theory Abelian variety Free abelian group Valuation Index of a subgroup Abelian group Abstract algebra Algebra Group theory
177	Relating the ECDLP to Other Curves Mark Bauer University of Calgary Department of Mathematics & Statistics Centre for Information Security and Cryptography Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2006-11-15 13:19:55 Finite fields Analysis of algorithms Asymptotic analysis Cryptography Analytic number theory Elliptic curve Ample line bundle Big O notation Hyperelliptic curve cryptography Abstract algebra Mathematics Mathematical analysis
178	Constructing cryptographic curves with complex multiplication Reinier Br¨ oker Ξ Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2009-05-14 13:40:44 Group theory Elliptic curves Analytic number theory Number theory Prime number Curve Frobenius endomorphism Supersingular elliptic curve Counting points on elliptic curves Abstract algebra Mathematics Finite fields
179	SOME AMUSING PROBLEMS RELATED TO ALGEBRAIC GEOMETRY RAVI VAKIL Here are some problems to pique your interest; we will solve (or mostly solve) them during the semester. Some are deep, and others are just fun. You won’t Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2000-01-31 15:18:27 Algebraic number theory Polynomials Quadratic forms Number theory Analytic number theory Elliptic curve Discriminant Algebraic geometry Weil conjectures Abstract algebra Mathematics Algebra
180	Lecture Notes Algebraic Geometry III/IV Matt Kerr Contents Add to Reading List Source URL: www.math.wustl.edu Language: English - Date: 2010-06-09 01:47:58 Algebraic curves Analytic number theory Projective geometry Riemann surface Elliptic curve Curve Conic section Riemann–Roch theorem Cubic plane curve Geometry Algebraic geometry Abstract algebra

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