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Abstract analytic number theory
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201	PROOF OF THE ZIG-ZAG CONJECTURE FRANCIS BROWN AND OLIVER SCHNETZ Abstract. A long-standing conjecture in quantum field theory due to Broadhurst and Kreimer states that the amplitudes of the zig-zag graphs are a certain e Add to Reading List Source URL: www.ihes.fr Language: English - Date: 2013-04-19 05:08:30 Analytic number theory Meromorphic functions Combinatorics Riemann zeta function Polylogarithm Factorial Mathematical analysis Mathematics Complex analysis
202	MULTIPLE MODULAR VALUES FOR SL2 (Z) FRANCIS BROWN 1. Introduction The purpose of this paper is to define and study a common generalisation of multiple zeta values, which are iterated integrals on the projective line minu Add to Reading List Source URL: www.ihes.fr Language: English - Date: 2014-07-19 10:30:38 Modular forms Homological algebra Analytic number theory Special functions Differential topology Orbifold Congruence subgroup Modular curve Motive Abstract algebra Mathematical analysis Mathematics
203	AGGREGATION IN THE PLANE AND LOEWNER’S EQUATION L. CARLESON AND N. MAKAROV Abstract. We study an aggregation process which can be viewed as a deterministic analogue of the DLA model in the plane, or as a regularized ve Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-02-07 12:47:00 Loewner differential equation Riemann zeta function Schramm–Loewner evolution Continuous function Partial differential equation Mathematical analysis Complex analysis Analytic number theory
204	Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2 …, and represent whole-number sums and differences within 100 on a number line diagram. Add to Reading List Source URL: education.illinoisstate.edu Language: English - Date: 2013-03-26 09:55:54 Elementary arithmetic Analytic geometry Numbers Group theory Cartesian coordinate system Interval Number Negative number Fraction Mathematics Abstract algebra Elementary mathematics
205	Mathematics Essential Curriculum - Fifth Grade - Above Grade Level Add to Reading List Source URL: www.hcpss.org Language: English - Date: 2014-08-08 21:40:55 Group theory Analytic geometry Binary operations Number Dimensional analysis Matrix Cartesian coordinate system Real number Exponentiation Mathematics Abstract algebra Elementary mathematics
206	Sage Reference Manual: Elliptic and Plane Curves Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:21 Algebraic curves Elliptic curve cryptography Elliptic curves Analytic number theory Elliptic curve Group theory Hyperelliptic curve Curve Projective space Geometry Abstract algebra Algebraic geometry
207	Cryptographic hash Functions from Expander Graphs Add to Reading List Source URL: csrc.nist.gov Language: English - Date: 2012-06-20 09:47:28 Analytic number theory Group theory Supersingular elliptic curve Graph Finite fields Supersingular K3 surface Homomorphic signatures for network coding Abstract algebra Mathematics Elliptic curves
208	Sage Reference Manual: Modular Forms Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:22 Mathematics Analytic number theory Group theory Eisenstein series Hecke operator Congruence subgroup Cusp form Atkin–Lehner theory Modular group Modular forms Mathematical analysis Abstract algebra
209	IWASAWA THEORY AND MOTIVIC L-FUNCTIONS MATTHIAS FLACH to Jean-Pierre Serre Abstract. We illustrate the use of Iwasawa theory in proving cases of the (equivariant) Tamagawa number conjecture. Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2007-11-27 21:58:43 Analytic number theory Algebraic geometry Symbol Modular form Iwasawa theory Matthias Flach Elliptic curve P-adic L-function Motive Abstract algebra Mathematical analysis Mathematics
210	ON THE CYCLOTOMIC MAIN CONJECTURE FOR THE PRIME 2 MATTHIAS FLACH Let l be prime number, m0 an integer prime to l and Λ = lim Zl [Gal(Q(ζm0 ln )/Q)] ∼ Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2008-07-17 17:03:31 Algebra Spectral theory Symbol Algebraic number field Cyclotomic field Dirichlet L-function Analytic number theory Spectral theory of ordinary differential equations Decomposition of spectrum Abstract algebra Algebraic number theory Mathematics

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