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Number theory
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#	Item
431	Random Knots By: Shil B., Alex E., Dongming L. Advisor: Nathan Dunfield, Graduate student: Nathan Fieldsteel Introduction: A knot is a non-intersecting closed curved in 3-space. The projection of a knot onto the plane yi Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2013-05-06 14:15:41 Knot theory Topology Knot invariants Knot Prime knot Crossing number Virtual knot Dowker notation
432	arXiv:1208.1176v2 [cs.CR] 21 Nov 2014 Add to Reading List Source URL: arxiv.org Language: English - Date: 2014-11-23 20:28:28 Mathematics Number theory Algebra Distribution Random permutation
433	43 Documenta Math. Hasse Invariant and Group Cohomology Bas Edixhoven, Chandrashekhar Khare Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2003-02-18 06:10:15 Modular forms Mathematical analysis Mathematics Complex analysis Analytic number theory Group theory Algebraic curves Hecke operator Modular curve Congruence subgroup Elliptic curve Representation theory
434	1467 Documenta Math. Triple Massey Products over Global Fields J ÁN M INÁ Cˇ Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2015-12-16 12:52:34 Algebra Abstract algebra Mathematics Group theory Algebraic number theory Homological algebra Embedding problem Field theory Galois theory Profinite group Group cohomology Cohomology
435	A computable axiomatisation of the topology of R and C Paul Taylor 6 August 2009 Add to Reading List Source URL: www.paultaylor.eu Language: English - Date: 2009-08-10 10:52:15 Mathematics Mathematical logic Computability theory Logic Theory of computation Computable number Structure Computable function Sigma-algebra
436	How Euler Did It by Ed Sandifer Sums of powers June 2009 Many people have been interested in summing powers of integers. Most readers of this column know, for example, that Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematical analysis Mathematics Asymptotic analysis Summability methods Number theory Calculus Bernoulli number Topology EulerMaclaurin formula Series 1 2 + 3 4 + Divisor function
437	Embarrassingly Simple Generation of Free Theorems Stefan Mehner and Janis Voigtl¨ander March 26th, 2014 Add to Reading List Source URL: www.janis-voigtlaender.eu Language: English - Date: 2016-08-01 05:50:10 Type theory Parametricity Polymorphism Ordinal number Constructible universe Functional programming Proof theory CurryHoward correspondence Net
438	Number theory 1. k1 , k2 , r, s ∈ N , k1 ≤ 2k2 . Suppose that k1 \|rs . Show that k1 \|rk2 P roof1 : ( We have Add to Reading List Source URL: www.math.ncu.edu.tw Language: English - Date: 2007-11-05 20:14:26 Number theory Coprime integers
439	443 Documenta Math. Essential Dimension of Separable Algebras Embedding in a Fixed Central Simple Algebra Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2015-07-16 12:25:58 Ring theory Algebraic structures Algebraic number theory Brauer group Lie groups Representation theory Ring Separable algebra Essential dimension Prehomogeneous vector space Approximately finite-dimensional C*-algebra
440	research-text-english.dvi Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2008-03-23 22:56:08 Algebraic geometry Inter-universal Teichmller theory HodgeArakelov theory Anabelian geometry Section conjecture Arakelov theory Algebraic number field Shinichi Mochizuki

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