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  About site: http://oldweb.cecm.sfu.ca/~aszanto/IntegerRelations/

Title: Math/Number Theory - Integer Relations To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.
Introduction_to_Bernoulli_Numbers A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS).

Klein_Polyhedra Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.

Lehmer\'s_Conjecture That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.

L-Functions Classified by degree, then by level, then by eigenvalue, then by root number.

Linear_Independence_Measures_for_Logarithms_of_Algebraic_Numbers Michel Waldschmidt. Cetraro summer school lectures, July 2000.

MathPages__Number_Theory Kevin Brown's collection of sci.math postings related to number theory topics.


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IntegerRelations CECM.IntegerRelationsTo determine linear integer dependenceamong numerical constants and to determine the minimal polynomial of anapproximate algebraic numberCECM Linear Integer DependenceResourceURL field downloads data from a local URL location.Simply enter the local URL address relative to http://oldweb.cecm.sfu.ca/LinearDependence Data field contains the list of input numbers for the integerrelation algorithm. To add, delete or edit items in the list clickon the item using the mouse and then press Enter. The linear dependence algorithm accepts Mapleexpressions and real or complex floating point numbers. Complex numbersare given in the form a + b*I. Precisionfield is to set the accuracy of the integer relation algorithm. CheckPrecision field is to separately set the accuracy for checking theoutput of Lindep.ResultsLindepLindep(LLL) Lindep(PSLQ)  CheckResults Examples  References Otherrelated interfaces   Minimal PolynomialEvaluationfield is to evaluate Maple expressions. Type the expression into the fieldand click Evaluate button. (The result is copied to the Alpha fieldautomatically.)EvaluationPrecision field allows to separately set the accuracy of the evaluationprocedure.Alpha field contains the input for the Find polynomialbuttonto compute the minimal polynomial of the given number. Both Maple expressionsand floating point numbers are accepted as input.Degreefield is to set the the maximal degree of the minimal polynomial. Precisionfield is to set the accuracy of the minimal polynomial algorithm. CheckPrecision field is to set  separately  the accuracy checkingthe output of the minimal polynomial algorithm.ResultsEvaluationresultsMinimalpolynomial  results   
 

To

determine

linear

integer

dependence

among

numerical

constants

and

to

determine

the

minimal

polynomial

of

an

approximate

algebraic

number.

Interactive

or

via

email.

http://oldweb.cecm.sfu.ca/~aszanto/IntegerRelations/

Integer Relations 2008 November

dvd rental

dvd


To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.

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