Science » Math » Number Theory » Open Problems (index): Number Theory Conjectures, Mathematician's Secret Room, Unsolved Problems and Rewards, L-functions and Random Matrix Theory ...


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12 November, 2009

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Number Theory Conjectures (Popularity:

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http://www.math.umbc.edu/~campbell/Math413Fall98/Conjectures.html
A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references.

Mathematician's Secret Room (Popularity:

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http://www.asahi-net.or.jp/~KC2H-MSM/mathland/overview.htm
Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima.

Unsolved Problems and Rewards (Popularity:

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http://faculty.evansville.edu/ck6/integer/unsolved.html
By Clark Kimberling. Offers prizes for solutions of some problems in number theory.

L-functions and Random Matrix Theory (Popularity:

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http://www.aimath.org/WWN/lrmt/
Conjectures and open problems concerning L-functions, focussing on the areas in which there has been recent progress using results from ...

Unsolved Problems and Conjectures (Popularity:

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http://euler.free.fr/eslp/unsolve.htm
Regarding equal sums of like powers, compiled by Chen Shuwen.

The Amazing ABC Conjecture (Popularity:

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http://www.maa.org/mathland/mathtrek_12_8.html
Article by Ivars Peterson.

The ABC Conjecture (Popularity:

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http://www.math.unicaen.fr/~nitaj/abc.html
Maintained by Abderrahmane Nitaj.

Introduction to the ABC Conjecture (Popularity:

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http://msri.org/publications/ln/hosted/ucb/1998/mazur/1/
Slides by Barry Mazur.

A New Extreme ABC-example (Popularity:

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http://www.xs4all.nl/~deweger/broberg.txt
Explanation of an example with quality 1.920859, found by Benne de Weger and Niklas Broberg.

MUG: ABC-conjecture (Popularity:

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http://www.math.rwth-aachen.de/mapleAnswers/html/180.html
Maple code to illustrate the conjecture discussed and refined.

XGC (Popularity:

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http://members.tripod.com/~aercolino/goldbach/
An eXtension of the Goldbach Conjecture. Mathematica code.

Mathematical Mysteries (Popularity:

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http://pass.maths.org/issue2/xfile/
A brief popular article with an applet generating solutions.

Goldbach Conjecture Verification (Popularity:

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http://www.ieeta.pt/~tos/goldbach.html
Computational results up to 2.10^16 and graphics by Tomás Oliveira e Silva.

An "Expository Proof" of the Goldbach Conjecture (Popularity:

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http://geocities.com/carryme47714/
An elementary attack on the problem of prime sums.

Christian Goldbach (Popularity:

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http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Goldbach.html
Biography, with links to other Goldbach resources.

A Simple Solution to the Goldbach Conjecture (Popularity:

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http://website.lineone.net/~pierz/maths.htm
A heuristic approach by Piers Newberry.

Goldbach's Conjecture - Recent Progress (Popularity:

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http://pauillac.inria.fr/algo/bsolve/constant/hrdyltl/goldbach.html
A summary of some recent progress towards Goldbach's conjecture with references to the literature.

Goldbach Conjecture (Popularity:

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http://mathworld.wolfram.com/GoldbachConjecture.html
Article from MathWorld.

Proof of the Twin Primes Conjecture (Popularity:

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http://www.coolissues.com/mathematics/Tprimes/tprimes.htm
Goldbach's Conjecture proves and extends the Twin Primes Conjecture as probable.

Goldbach Conjecture Research (Popularity:

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http://www.petrospec-technologies.com/Herkommer/goldbach.htm
Information on research and computations on the Goldbach Conjecture. By Mark Herkommer.