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Frobenius endomorphism
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21	Isogeny graphs with maximal real multiplication Sorina Ionica1,2 and Emmanuel Thomé2 1 Microsoft Research One Microsoft Way – Redmond, WA, 98052 – USA Add to Reading List Source URL: www.loria.fr Language: English - Date: 2014-08-07 04:58:11 Ring theory Module theory Abelian varieties Algebraic structures Endomorphism ring Dual abelian variety Elliptic curve Frobenius endomorphism Valuation Abstract algebra Algebra Category theory
22	Eﬃcient Arithmetic on Subﬁeld Elliptic Curves over Small Odd Characteristics Keisuke Hakuta1 , Hisayoshi Sato1 , and Tsuyoshi Takagi2 1 Hitachi, Ltd., Systems Development Laboratory, Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2005-12-11 20:15:09 Analytic number theory Euclidean plane geometry Golden ratio Finite field Frobenius endomorphism Logarithm Defining equation Elliptic curve Complex number Abstract algebra Mathematics Field theory
23	Speeding up the Bilinear Pairings Computation on Curves with Automorphisms.dvi Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2007-04-13 02:45:23 Analytic number theory Elliptic curve Group theory Frobenius endomorphism Pullback Spectral theory of ordinary differential equations Abstract algebra Algebra Mathematics
24	A GROSS-ZAGIER FORMULA FOR QUATERNION ALGEBRAS OVER TOTALLY REAL FIELDS EYAL Z. GOREN & KRISTIN E. LAUTER Abstract. We prove a higher dimensional generalization of Gross and Zagier’s theorem on the factorization of dif Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2011-12-08 21:38:03 Number theory Modular arithmetic Analytic number theory Class field theory Symbol Artin reciprocity law Frobenius endomorphism Valuation Modular form Abstract algebra Mathematics Algebraic number theory
25	Constructing Abelian Varieties for Pairing-Based Cryptography by David Stephen Freeman A.B. (Harvard University) 2002 Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2008-06-06 19:27:52 Elliptic curves Abelian varieties Cryptography Finite fields Complex multiplication Supersingular elliptic curve Pairing Abelian surface Frobenius endomorphism Abstract algebra Algebra Algebraic surfaces
26	UNIFORM FIRST-ORDER DEFINITIONS IN FINITELY GENERATED FIELDS BJORN POONEN Abstract. We prove that there is a first-order sentence in the language of rings that is true for all finitely generated fields of characteristic Add to Reading List Source URL: www-math.mit.edu Language: English - Date: 2008-07-06 19:05:58 Algebraic number theory Galois theory Algebraic curves Analytic number theory Elliptic curve Frobenius endomorphism Finite field Field extension Supersingular elliptic curve Abstract algebra Algebra Field theory
27	RIMS Kˆ okyˆ uroku Bessatsu B19 (2010), 255–276 Euler systems in the Iwasawa theory of ordinary Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2010-06-06 22:11:32 Algebraic number theory Galois theory Group theory Analytic number theory Algebraic number field Iwasawa theory P-adic number Galois module Frobenius endomorphism Abstract algebra Algebra Field theory
28	Irreducible Values of Polynomials: a Non-analogy Keith Conrad Department of Mathematics, Univ. of Connecticut, Storrs, CT[removed]U.S.A. [removed] Add to Reading List Source URL: www.math.uconn.edu Language: English - Date: 2005-03-25 22:17:27 Analytic number theory Galois theory Bateman–Horn conjecture Finite field Frobenius endomorphism Polynomial Cumulant Factorization of polynomials over a finite field and irreducibility tests Abstract algebra Mathematics Algebra
29	An Interpretation of some congruences concerning Ramanujan’s τ -function Jean-Pierre Serre September 11, [removed] Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:00 Modular arithmetic Algebraic number theory Quadratic residue Finite fields Galois theory Frobenius endomorphism Prime number Elliptic curve Abstract algebra Mathematics Number theory

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