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Abstract analytic number theory
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#	Item
81	PRIME ORDER PRIMITIVE SUBGROUPS IN TORUS-BASED CRYPTOGRAPHY JASON E. GOWER Abstract. We use the Bateman-Horn conjecture to study the order of the set of Fq -rational points of primitive subgroups that arise in torus-base Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2006-12-06 18:43:19 Analytic number theory Integer sequences Field theory Bateman–Horn conjecture Finite field Algebraic torus Separable extension Number theory Field extension Abstract algebra Mathematics Algebra
82	PDF Document Add to Reading List Source URL: msp.org Language: English - Date: 2013-11-23 01:41:04 Finite fields Algebraic curves Analytic number theory Elliptic curves Algebraic number theory Lenstra elliptic curve factorization Elliptic curve Division polynomials Algebraic number field Abstract algebra Algebra Mathematics
83	arXiv:math.NTv1 22 DecOn Fourier and Zeta(s) Jean-Fran¸cois Burnol Laboratoire Dieudonn´e Universit´e de Nice Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2002-01-08 12:31:36 Fourier analysis Analytic number theory Algebraic number theory Integral transforms Field theory Explicit formula Riemann hypothesis Hecke character Fourier transform Mathematical analysis Mathematics Abstract algebra
84	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
85	Preface Discrete subgroups form an important class of groups. They naturally appear in many branches of mathematics and in the physical phenomena. An arithmetic subgroup is a certain discrete subgroup whose denition eme Add to Reading List Source URL: www.ipm.ac.ir Language: English - Date: 2011-09-28 00:50:08 Number theory Algebraic groups Algebraic geometry Lie groups Analytic number theory Arithmetic variety Arithmetic group Discrete group Modular form Abstract algebra Mathematics Algebra
86	A PROOF OF THE RIEMANN HYPOTHESIS I Louis de Branges* Abstract. A proof of the Riemann hypothesis is obtained for zeta functions generated in Fourier analysis on fields and skew–fields. The fields are the complex plan Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2014-12-17 09:44:58 Analytic number theory Quantum mechanics Moduli theory Hardy space Hilbert space Modular form Complex number Gamma function Riemann hypothesis Mathematical analysis Complex analysis Operator theory
87	Self Organization in Real & Complex Analysis T.H. Ray ICCS 2006 Abstract We identify specific properties of the complex plane that allow functions of a continuous n-dimensional (Hilbert) measure space to be transformed i Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2008-01-07 10:20:08 Spheres Analytic number theory Elementary geometry Surfaces Topology 3-sphere N-sphere Riemann sphere Riemann hypothesis Geometry Mathematics Mathematical analysis
88	THE SHAPE OF UNLABELED ROOTED RANDOM TREES MICHAEL DRMOTA AND BERNHARD GITTENBERGER Abstract. We consider the number of nodes in the levels of unlabelled rooted random trees and show that the stochastic process given by Add to Reading List Source URL: www.dmg.tuwien.ac.at Language: English - Date: 2010-03-08 06:26:08 Probability theory Continuous function Ordinary differential equations Analytic number theory Multivariable calculus Spectral theory of ordinary differential equations Harris chain Mathematical analysis Mathematics Characteristic function
89	A Master Theorem for Discrete Divide and Conquer Recurrences∗ Michael Drmota† Abstract Wojciech Szpankowski‡ 1 Add to Reading List Source URL: www.dmg.tuwien.ac.at Language: English - Date: 2010-10-21 08:10:15 Recurrence relations Number theory Analytic number theory Analysis of algorithms Master theorem Riemann hypothesis Dirichlet series Wiener–Ikehara theorem Generating function Mathematics Mathematical analysis Asymptotic analysis
90	P ROOF OF THE R IEMANN H YPOTHESIS CARLES F. PRADAS PRELIMINARY NOTES Abstract Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2001-04-12 08:05:06 Riemann hypothesis Riemann zeta function Functional equation Zeta Complex number Riemann sphere Dedekind zeta function Mathematical analysis Mathematics Analytic number theory

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