101. Document Title By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris. http://www.math.utk.edu/~morwen/knotscape.html

5/20/99: These are binary versions of release 1.01 of Knotscape. Please see the README file for details of what's new. README Download Knotscape 1.01 (Linux binaries, compatible with Redhat 7.x) (4729966 bytes) Download Knotscape 1.01 (SUN4 binaries, not compatible with the latest versions of Solaris) (5,293,071 bytes) Download Knotscape 1.01 (Alpha binaries) (5,322,633 bytes) ... Screenshot (110KB) If your operating system is a flavour of UNIX not listed above, you might be able to compile the binaries. For all non-hyperbolic parts of Knotscape, use the Makefile in Knotscape's main directory. For the hyperbolic routines (which depend heavily on Jeff Weeks's Snappea ), download the source code and follow the instructions contained therein.

102. Aliquot Sequences Aliquot sequences arise in iterating the sumof-divisors function s. Bosma has calculated tables up to start value 50,000 and 80 digits. http://www.math.ru.nl/~bosma/research/nuth/ali.html

Aliquot sequences Aliquot sequences arise in iterating the sum-of-divisors function s, which assigns to a positive integer the sum of its proper divisors (i.e., excluding the number itself). An aliquot sequence thus starts with a positive integer n, followed by s(n), then s(s(n)), etc. The main open question in the area is given by the Catalan-Dickson conjecture, which states that for any starting value n one of two things happens: either the sequence ends in a cycle, or it reaches 1 after finitely many steps (and is said to terminate then). Cycles of length 1 come from perfect numbers: 6 = 1 + 2 + 3 = s(6), 28 = 1 + 2 + 4 + 7 + 14 = s(28), etc. Cycles of length 2 are also called amicable numbers: 220, s(220)=284, s(284)=220. Longer cycles are also called sociable numbers. Progress in numerical work to verify the Catalan-Dickson conjecture relies upon progress in integer factorization methods, as no better method is known for the determination of the divisors of a number than the obvious method using its prime factorization. I became interested in aliquot sequences while testing the integer factorization algorithms in Magma. I have listed some of the numerical work I have done. Several other people are involved in a big effort to push our knowledge for small starting values.

103. Andrej Dujella Home Page University of Zagreb, Croatia. Page on Diophantine mtuples; tables of high-rank elliptic curves; Link to mathematical departments and number theory groups and seminars; Information for students on courses in number theory and cryptography. http://www.math.hr/~duje/

Andrej Dujella Professor Department of Mathematics University of Zagreb Bijenicka cesta 30 Zagreb CROATIA Phone: (+385 1) 4605 780 Fax: (+385 1) 4680 335 Room: 301 E-mail: URL: http://www.math.hr/~duje/ Site Map Curriculum vitae Publication list (with papers in dvi format) Fields of interest: Diophantine equations (11D) Diophantine m -tuples, i.e. sets with the property that the product of any two of its distinct elements is one less than a square; Simultaneous Pellian equations; Thue equation Elliptic curves (11G05) Construction of high-rank elliptic curves; Integer points on families of elliptic curves Diophantine approximations (11J) Applications of Baker's theory and hypergeometric method; Continued fractions Fibonacci and Lucas numbers (11B39) Diophantine and divisibility properties of binary recursive sequences; Connections with Diophantine m -tuples Cryptography (94A60) Elliptic Curve Cryptography; Cryptanalysis of RSA; Teaching Diophantine m-tuples page Elliptic curves tables: High rank elliptic curves with prescribed torsion Infinite families of elliptic curves with high rank and prescribed torsion History of elliptic curves rank records Undergraduate courses: Elementarna matematika 1 i 2 (Elementary Mathematics) Uvod u teoriju brojeva Introduction to Number Theory Skripta (Lecture Notes in pdf Kriptografija Cryptography Skripta (Lecture Notes) (Student seminar - Elliptic curves and their applications in cryptography) (2002/2003) Mentorstva diplomskih radova Graduation Thesis Supervisorships Graduate courses:

104. Noam D. Elkies Home Page Harvard. Number theory, algebraic geometry. Preprints, tables in computational number theory. http://abel.math.harvard.edu/~elkies/

Noam D. Elkies Professor, Department of Mathematics Harvard University E-Mail elkies@math.harvard.edu Work Address Department of Mathematics, Harvard University, Cambridge, MA 02138. Work Telephone fax Mathematics Music Chess links Miscellaneous writings etc. Please ignore these HTML tests. sample link #1 sample link #2 sample link #3(

105. István Gaál University of Debrecen. Constructive methods for the complete resolution of Diophantine equations Thue, norm form discriminant form, index form; Power integral bases in algebraic number fields. Publications, results, algorithms and tables of numerical data. http://www.math.klte.hu/~igaal/

István Gaál professor PhD, CsC, Habil, DsC head of Department of Algebra and Number Theory vice chair of School of Independent Faculties University of Debrecen Faculty of Science Institute of Mathematics H-4010 Debrecen, Pf.12 Hungary office: M220 telephone: -36-52-512900/ext.2802 fax:-36-52-416857 e-mail: igaal@math.klte.hu

106. John Jones Home Page Arizona State University. Algebraic number theory Iwasawa theory, the arithmetic of elliptic curves, Galois theory; questions in computational number theory. tables of number fields of small degree. Discovering number theory course material. http://math.la.asu.edu/~jj/

John Jones Links Misc. Fun Pedagogy ... Home Outside Links ASU Main ASU site Department of Mathematics and Statistics The Department of Mathematics and Statistics main site Contact Information Office: PSA 729 E-mail: Phone: Fax: Office hours: Monday 11:00-12:00, Wednesday 10:30-12:30, and by appointment. My history: a.k.a.

107. SevilleDriver Journal dedicated to the study of Santayana's life and work. Includes tables of contents, PDF files of many articles. http://www.math.uwaterloo.ca/~kerrlaws/Santayana/Bulletin/seville.html

Overheard in Seville: Bulletin of the Santayana Society Editor: Angus Kerr-Lawson Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1, Communications about papers on Santayana's life and works should be sent to Kerr-Lawson. E-mail address: kerrlaws@uwaterloo.ca Communications about Santayana bibliography, the Santayana Society, the Santayana Edition, or business matters, should be sent to: Kristine W. Frost Managing Editor, Santayana Edition School of Liberal Arts, IUPUI Cavanaugh Hall 207 425 University Blvd. Indianapolis, IN 46202-5140, E-mail address: kfrost@iupui.edu The Bulletin appears annually. It is formatted and composed for typesetting using Microsoft Word and Adobe Acrobat, and printed by Graphics, University of Waterloo. It is published and distributed by Indiana University Purdue University Indianapolis. Papers are published dealing with all aspects of Santayana's philosophy, his literary works, or his life. There are regular progress reports on the Santayana Edition and updates to Santayana bibliography. Announcements concerning the Santayana Society and its annual meeting also appear in each number. Tables of Contents: 1983 - 2004 Certain of the texts of the articles beginning in 1993 are available through hyperlinks as shown below. More recent articles appear as Adobe Acrobat (.pdf) files

108. Stefan Lemurell's Home Page Chalmers University of Technology / Goteborg University. Automorphic forms. Publications, tables of Maass forms. http://www.math.chalmers.se/~sj/

Welcome to Stefan Lemurell's Home Page This is still a rather modest site, but there are some information for students, postscript-files of my research papers and here is a picture of me at the top of Gunung Kerinci the highest mountain on Sumatra. Computational data on Maass forms can be found here Stefan Lemurell sj math ... se Last modified: Tue Mar 5 14:42:42 MET DST 2002

109. Michael Rubinstein University of Waterloo. Experimental number theory. Publications, software for Lfunctions, tables of modular polynomials. http://www.math.uwaterloo.ca/~mrubinst/

Can be reached at: mrubinst at uwaterloo dot ca Pure Maths, U of W 200 University Ave W Waterloo, Ontario, N2L 3G1 Canada Math: Workshop on Number Theory and Random Matrix Theory Curriculum Vitae: pdf L C++ class library and command line program for computing zeros and values of L-functions. Includes data. Publications Modular Polynomials class: pmath 340 Music: The Conspiracy of Equal Temperament. An essay on tunings. Why 12 notes to the octave? Includes a proposal for a 19 note octave (not meant to replace the 12 note octave). I finally gave in and put some of my old music on the web. Only for the seriously bored. Misc: The Early Years Warning! The end of the world as we know it is 40000 years overdue! Read about it here. How to tell if your head is gonna explode. Take the HCE test. Some of my sketches . I no longer sketch. Look out for strangelets The post humanity era is approaching fast! 2030 at the latest. Sell your stocks while you can.

110. Richard E. Borcherds (Berkeley Home Page) Berkeley. Quantum algebra and number theory. Preprints, lecture notes, tables of lattices and modular forms. Fields medallist, 1998. http://math.berkeley.edu/~reb/

Richard E. Borcherds, University of California Department of Mathematics , 970 Evans Hall #3840, Berkeley CA 94720-3840, USA. (510) 642 8464 Fax: (510) 642 8204 http://math.berkeley.edu/~reb My preprints papers and thesis Home pages for (Calculus) and archive of old courses Tables of positive definite lattices and coefficients of some Siegel modular forms. Talks by me on Moonshine or reflection groups or vertex algebras or the GKZ theorem or formal groups Advanced search Advanced scholar search Author/Related Author Anywhere Title Class MR Number Ref Author Ref Anywhere Full search From German to German From French to French From Dutch From Spanish Dictionary Thesaurus Math depts: A-F G-M N-Z USA ... Max Planck People: Allcock Barnard Bourbaki Bruinier ... Taylor Preprints: arXiv , hep-th new search ; math new search E-Print Uploads HEP ... Sciencedirect Books: Abramowitz-Stegun math books SGA Dubinushka Tables: elliptic curves ATLAS Lie Groups modular forms ... Graph paper Moonshine: monster page fundamental domain program monstrous moonshine page. Misc Math: Zentralblatt FastLane History gallery ... Software Berkeley: Weather More weather Sunset/sunrise Moon ... SFO UCB: Emergency Evacuation Map directory ... assignments Teaching: preferences Bear facts math courses Catalogue ... ETS Reference: Englisch-Deutsch OED zip+4 Exchange rates ... clock Maps: World altas U.K. Maps

111. Babes (BabesBolyai University) tables of contents of all volumes (PDF). http://www.math.ubbcluj.ro/~nodeacj/sfptcj.htm

Faculty of Mathematics and Informatics Department of Applied Mathematics Volume 1 (2000) Volume 4 (No. 1/2003) Volume 5 (No. 2/2004) Volume 2 (2001) ... Volume 5 (No. 1/2004) FIXED POINT THEORY An International Journal on Fixed Point Theory, Computation and Applications Cluj-Napoca EDITORS Ioan A. Rus Department of Applied Mathematics 400084 Cluj-Napoca Romania E-mail: iarus@math.ubbcluj.ro Department of Applied Mathematics 400084 Cluj-Napoca Romania E-mail: petrusel@math.ubbcluj.ro Radu Precup Department of Applied Mathematics Cluj-Napoca Romania E-mail: r.precup@math.ubbcluj.ro EDITORIAL BOARD Vasil Angelov Jan Andres Cezar Avramescu University of Mining and Geology “St. I. Rilski” Department of Mathematics University of Craiova Department of Mathematics Faculty of Science Palacky University Department of Mathematics 1700 Sofia, Bulgaria Tomkova 40, 779-00 Olomouc-Hejcin 1100 Craiova, Romania Czech Republic E-Mail: angelov@staff.mgu.bg E-Mail: andres@inf.upol.cz

112. Science Central - S.O.S. Math - Mathematical Tables And Formulas SOS MATHematics is the website, where you can work with materials to help you do your homework, prepare for a test, or get ready for class. http://www.sciencecentral.com/site/491611

Friday, 16 September, 2005 Home Submit Science Site Set as Homepage Add to Favorite ... Contact search for Directories Agriculture Anomalies and Alternative Science Astronomy Biology ... Technology Category: Science Math Reference Tables ... REPORT BROKEN LINK S.O.S. Math - Mathematical Tables and Formulas Populatiry: Details document.write(''); Large integral tables along with other math tables. Polynomial, trigonometric, logarithmic, hyperbolic. and Laplace transform tables. URL Title S.O.S. Math - Mathematical Tables and Formulas Description S.O.S. MATHematics is the website, where you can work with materials to help you do your homework, prepare for a test, or get ready for class. The material presented reviews the most important result Category: Tutorials School Mathematics High ... Exams Traffic Analysis document.write(''); document.write(''); document.write(''); Related sites Some Useful Mathematical Tables (Popularity: ): A collection of mathematical tables which, for some reason, have ... Tables of Mathematical Constants (Popularity: ): A list of known constants with a precision of 16 ...

113. Numerical Algorithms tables of Contents of volumes 122 (1999). http://www.math.psu.edu/dna/contents/na.html

114. Science Central : Science - Math - Reference - Tables Category Listing Science math - Reference - tables. http://www.sciencecentral.com/category/5848140

Friday, 16 September, 2005 Home Submit Science Site Set as Homepage Add to Favorite ... Contact search for Directories Agriculture Anomalies and Alternative Science Astronomy Biology ... Technology Category: Science Math Reference Tables SUBMIT A SITE Tables Order by Popularity Alphabet Sites Records 1-5 of 5 S.O.S. Math - Mathematical Tables and Formulas (Popularity: Large integral tables along with other math tables. Polynomial, trigonometric, ... Some Useful Mathematical Tables (Popularity: A collection of mathematical tables which, for some reason, have ... Dave's Math Tables (Popularity: Has math tables for many areas of math from general ... Tables of Mathematical Constants (Popularity: A list of known constants with a precision of 16 ... A Million Random Digits with 100,000 Normal Deviates (Popularity: Free online in PDF, also offered for sale as paperback. ... Home Submit Science Site Set as Homepage Add to Favorite ... Contact

115. Cryptologia Home Page A scholarly journal devoted to all aspects of cryptology. tables of contents of all volumes. http://www.dean.usma.edu/math/pubs/cryptologia/

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116. Tablas Matemáticas De David Colecci³n de tablas y f³rmulas de la matem¡tica elemental. http://math2.org/math/es-tables.htm

English escoja idioma Tabla de Sumas Polinomiales Exponenciales Identidades ... Tablas Cabos Sueltos Constantes Vectores Complejidad Curvas ... Derivadas Asuntos Avanzados Serie de Fourier Transformadas ¡Ya puede David Manura

117. Algorithmic Number Theory: Tables And Links Compiled by Noam Elkies. http://www.math.harvard.edu/~elkies/compnt.html

Algorithmic (a.k.a. Computational) Number Theory : Tables, Links, etc. Tables of solutions and other information concerning Diophantine equations [equations where the variables are constrained to be integers or rational numbers]: Trinomials with unusual Galois groups ( x x x x x x x x +567, etc.) (Supporting computational data for Nils Bruin's theorem here Elliptic curves of large rank and small conductor arXiv preprint; joint work with Mark Watkins; to appear in the proceedings of ANTS-VI (2004)): Elliptic curves over Q of given rank r up to 11 of minimal conductor or discriminant known; these are new records for each r in [6,11]. We describe the search method tabulate the top 5 (bottom 5?) such curves we found for r in [5,11] for low conductor, and for r in [5,10] for low discriminant. Data and results concerning the elliptic curves ny =x -x arising in the ``congruent number'' problem: Transparencies for ANTS-V lecture, in PS and PDF added 7/2002 All for which the curve has analytic rank at least 3, listed and used; , under an additional conjecture;

118. KMJ HomePage Editors' page. tables of contents, all volumes. http://www.math.titech.ac.jp/~tosho/Journal/info-e.html

119. Collapsed Adjacency Matrices, Character Tables And Ramanujan Graphs A database of character tables of endomorphism rings. http://www.math.rwth-aachen.de/~Ines.Hoehler/

Collapsed Adjacency Matrices, Character Tables and Ramanujan Graphs This is a database of character tables of endomorphism rings. Let G be a finite group, K a field and M a finite set on which G acts transitively. For a in M let M ,...,M r be the distinct orbits of G a , which have respective representatives a =a, a ,..., a r . Let E i i [k,l] be the collapsed adjacency matrix for the orbital digraph (M,E i ). Therefore A i is defined as the number of neighbours of a k in M l (see PrSoi for details). Let R denote the endomorphism ring End KG ,...,S k The entries of a column of the character table are the eigenvalues of the corresponding orbital digraph (see PrSoi for details). (see CePoTeTrVe for details). For rank up to 5 the collapsed adjacency matrices have been computed by Cheryl E. Praeger and Leonard H. Soicher (PrSoi) . Several matrices (also for larger rank cases) can be found in IvLiLuSaSoi , where numerous further references are given.) The following matrices originally have been published in: LLS : Fi with 2 .M Soi : Co with 2 .O IM : J with 2 .M Nor : M with 2.BM.

120. Phi_l tables of modular polynomials Phi_l for prime l to 270, computed by Michael Rubinstein. Gzipped text and specially compressed formats. http://www.math.uwaterloo.ca/~mrubinst/modularpolynomials/phi_l.html

Classical Modular Polynomials UNDER CONSTRUCTION Home Here are the coefficients for the classical modular polynomials phi_l, for all prime l < 270. These were computed, for l < 200, while I was at Hewlett-Packard in Palo-Alto in 1998-1999 on an MSRI research fellowship. The computation time required was about four weeks on a 400 MHz Pentium processor. My colleague at HP, Gadiel Seroussi, made improvements to the code and extended this computation further for all prime l < 360. These fit on slightly more than three CDRs! The polynomials are available in one of two formats: 1) gzipped ASCII files containing, in decimal notation, the coefficients of the modular polynomials. Not intended for the hardcore user. Available in this format for l A file explaining the format of the decimal ASCII files. The polynomials A directory of the gzipped files. 2) "binary compressed" files containing the coefficients in binary form and also exploiting the fact that the coefficients are highly divisable by powers of 2,3,5. The advantage in using this over the decimal ASCII files is that it is computationally intensive to read the files in decimal and convert them into the internal form of most number theory packages, which is binary. Available in this format for l < 270. Credit for these files and related utilities is due to Gadiel Seroussi of HP labs in Palo Alto.

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