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Abstract analytic number theory
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101	Abstract Fix an integer m > 2 and let K be a number field containing the mth roots of unity with ring of integers R. Suppose that a is an element of K with a = c/d for c, d ∈ R, and that b is an ideal of R relatively Add to Reading List Source URL: douglassquirrel.com Language: English - Date: 2013-08-17 18:16:01 Lattice points Algebraic number theory Analytic geometry Lattice Lenstra–Lenstra–Lovász lattice basis reduction algorithm Algebraic number field Field extension Vector space Ideal lattice cryptography Algebra Abstract algebra Mathematics
102	SQUARING RECTANGLES FOR DUMBBELLS J. W. CANNON, W. J. FLOYD, AND W. R. PARRY Abstract. The theorem on squaring a rectangle (see Schramm [6] and CannonFloyd-Parry [1]) gives a combinatorial version of the Riemann mapping Add to Reading List Source URL: www.math.vt.edu Language: English - Date: 2008-06-17 21:51:22 Analytic number theory Prime-counting function Representation theory of finite groups
103	SUFFICIENTLY RICH FAMILIES OF PLANAR RINGS J. W. Cannon, W. J. Floyd, and W. R. Parry October 18, 1996 Abstract. It has been conjectured that if G is a negatively curved discrete group with space at infinity ∂G the 2- Add to Reading List Source URL: www.math.vt.edu Language: English - Date: 1996-10-21 11:48:37 Analytic number theory Markov processes Invariant theory
104	BAILY-BOREL COMPACTIFICATION PETER J MCNAMARA 1. Introduction Let G = Sp2g be the symplectic group (Chevalley group scheme over Z). Let K be a maximal compact subgroup of G = G(R). The symmetric space G(R)/K is commonly Add to Reading List Source URL: www.maths.usyd.edu.au Language: English - Date: 2013-07-01 22:40:35 Group theory Congruence subgroup Analytic number theory Geometric group theory Operator theory Holomorphic functional calculus Modular form Abstract algebra Mathematics Algebra
105	TWISTS OF X(7) AND PRIMITIVE SOLUTIONS TO x2 + y 3 = z 7 BJORN POONEN, EDWARD F. SCHAEFER, AND MICHAEL STOLL Abstract. We find the primitive integer solutions to x2 + y 3 = z 7 . A nonabelian descent argument involving t Add to Reading List Source URL: math.mit.edu Language: English - Date: 2008-07-06 19:05:58 Algebraic curves Group theory Algebraic number theory Elliptic curve J-invariant Algebraic number field Modular curve Μ operator Classical modular curve Abstract algebra Analytic number theory Modular forms
106	Computing elliptic curves using KASH Masanari K University of Electro-Communications e-mail: [removed] August 18, 2002 Beijing, China Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:50 Algebraic number theory Analytic number theory Elliptic curve Group theory Elliptic functions Modular forms KANT J-invariant Algebraic number field Abstract algebra Algebra Mathematics
107	A TOOL FOR STABLE REDUCTION OF CURVES ON SURFACES RAVI VAKIL Abstract. In the study of the geometry of curves on surfaces, the following question often arises: given a one-parameter family of divisors over a pointed Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:12:09 Moduli theory Vector bundles Analytic number theory Elliptic curve Group theory Intersection number Curve Divisor Moduli space Abstract algebra Geometry Algebraic geometry
108	Is It Really Zero? Chee K. Yap Department of Computer Science Courant Institute, NYU Abstract The Zero Problem asks whether a given numerical expression is equal Add to Reading List Source URL: cs.nyu.edu Language: English - Date: 2013-02-22 12:21:24 Floating point Algorithm Number Expression Transcendence theory Mathematics Analytic number theory Constant problem
109	1 An Improvment of the Elliptic Net Algorithm Binglong Chen and Chang-An Zhao* Abstract In this paper we propose a modified Elliptic Net algorithm to compute pairings. By reducing the number of the Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-03-24 02:53:55 Cryptography Elliptic curves Finite fields Group theory Analytic number theory Pairing Elliptic curve cryptography Elliptic curve Weil pairing Abstract algebra Algebra Mathematics
110	Fast methods to compute the Riemann zeta function Ghaith Ayesh Hiary April 21, 2008 Abstract The Riemann zeta function on the critical line can be computed using Add to Reading List Source URL: www.dtc.umn.edu Language: English - Date: 2012-08-16 12:29:05 Riemann hypothesis Riemann zeta function Time complexity Fast Fourier transform Number theory Dirichlet series Bernoulli number Euclidean algorithm Mathematical analysis Mathematics Analytic number theory

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