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Analytic number theory
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121	Exercises on pairings on elliptic curves Andreas Enge Leuven, Friday, 13 September 2013 Exercise 1 (Weil reciprocity). Let E : Y 2 = X 3 + X over F7 , f = Y , g = X−1 X−3 . Compute div f and div g, and verify that f Add to Reading List Source URL: www.cosic.esat.kuleuven.be Language: English - Date: 2013-09-23 05:41:31 Cryptography Algebra Public-key cryptography Pairing-based cryptography Elliptic curves Group theory Analytic number theory Weil pairing Divisor Pairing Homomorphic signatures for network coding
122	Computing genus 2 curves from invariants on the Hilbert moduli space Journal of Number Theory, Special Issue on Elliptic Curve Cryptography http://eprint.iacr.org Add to Reading List Source URL: 2010.eccworkshop.org Language: English - Date: 2010-10-26 20:15:50 Algebra Abstract algebra Analytic number theory Invariant theory Algebraic surfaces Algebraic curves Moduli space Moduli theory Modular form Abelian variety Elliptic curve Complex multiplication
123	Ren´e Schoof, Elliptic curves over finite fields. VU, OctoberIntroduction. Let E be an elliptic curve over a finite field Fq . Then E is a smooth cubic in P2 . It can Add to Reading List Source URL: www.cosic.esat.kuleuven.be Language: English Mathematics Algebra Group theory Geometry Analytic number theory Elliptic curve Divisor Differential forms Imaginary hyperelliptic curve Banach fixed-point theorem
124	7. PRIMER ON ANALYSIS. To study analytic number theory it helps to know some of the basics of “hard analysis”. We made a start in section 2 with o(.), O(.), ¿, À, ³, ∼, etc., but now it is time to discuss, poss Add to Reading List Source URL: www.dms.umontreal.ca Language: English - Date: 2007-02-21 21:15:56
125	Archive of Colloquia AbstractsDepartment of Mathematics University of Notre Dame The Nash problem on families of arcs Add to Reading List Source URL: math.nd.edu Language: English - Date: 2012-09-26 10:46:16 Number theory Analytic number theory Bernhard Riemann Conjectures Scattering theory P-adic L-function Riemann zeta function Inverse scattering problem L-function Bernoulli number Partial differential equation Tensor
126	A Faster way to do ECC Mike Scott Dublin City University Joint work with Steven Galbraith Royal Holloway, University of London Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-09-27 14:59:29 Elliptic curves Abstract algebra Algebra Group theory Elliptic curve cryptography Analytic number theory Elliptic curve Mathematics Finite fields Supersingular elliptic curve
127	EXAMPLE SHEET 2 FOR CAMBRIDGE PART III COURSE ON “ELEMENTARY METHODS IN ANALYTIC NUMBER THEORY”, LENT 2015 ADAM J HARPER These questions cover some of the material from sections 5–7 of the lecture notes. Add to Reading List Source URL: www.dpmms.cam.ac.uk Language: English - Date: 2015-03-02 16:20:36
128	Research Statement Ernie Croot September 23, 2008 I work mainly in additive combinatorics and in classical analytic number theory. Here I will describe a few of my past, current, and future research Add to Reading List Source URL: people.math.gatech.edu Language: English - Date: 2008-09-23 13:09:57
129	LECTURE NOTES 3 FOR CAMBRIDGE PART III COURSE ON “ELEMENTARY METHODS IN ANALYTIC NUMBER THEORY”, LENT 2015 ADAM J HARPER Abstract. These are rough notes covering the third block of lectures in the “Elementary Meth Add to Reading List Source URL: www.dpmms.cam.ac.uk Language: English - Date: 2015-04-02 12:40:46
130	Introduction The CRT method Examples and Results Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-10-03 22:36:32 Mathematics Mathematical analysis Geometry Group theory Analytic number theory Elliptic curve Polynomial Prime number Curve Pi

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