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  Selected Sites   (see also All Sites in this category)

  1. Algebraic Number Theory: Global Fields - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to algebraic number theory. Subcategories include rings of algebraic integers, quadratic extensions, Iwasawa theory, Galois theory, Langlands-Weil conjectures, density theorems, Adele rings and groups, class groups and Picard groups of orders, and many more. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>


 
  All Sites - 21 items found, showing 1 to 21

  1. Algebraic Number Theory Archives - Boston, Grayson
    Preprints about algebraic number theory and arithmetic geometry are accepted in electronic form for storage until publication. There are instructions for authors who wish to submit preprints to the archives and for for joining the mailing list (members ...more>>

  2. Algebra Through Problem Solving - Hillman, Alexanderson
    A non-traditional Algebra text (high school and early college levels) placed on the Web by the Science Education Team at Los Alamos National Laboratory. Browse it on the Web or download a PDF version. Chapter headings include: The Pascal Triangle; The ...more>>

  3. Binary Cubic Forms and Cubic Number Fields (Organic Mathematics Proceedings) - Henri Cohen
    A paper presenting a small part of the theory of binary cubic forms, in particular its application to cubic number fields. Most of the results are due to Davenport-Heilbronn, but the algorithmic applications seem to be new. ...more>>

  4. A compendium of NP optimization problems - Crescenzi & Kann
    A continuously updated catalog of approximability results for NP optimization problems. Because no NP-complete problem can be solved in polynomial time (unless P=NP), many approximability results (both positive and negative) of NP-hard optimization problems ...more>>

  5. Course Notes - J. S. Milne
    Full course notes in dvi, pdf, and postscript formats for all the advanced courses J. S. Milne taught at the University of Michigan between 1986 and 1999: Group Theory; Fields and Galois Theory; Algebraic Number Theory; Class Field Theory; Modular Functions ...more>>

  6. David J. Wright - Mathematics Dept., Oklahoma State University
    Wright's main field is number theory, particularly algebraic number theory and algebraic groups, with methods from functional analysis and analytic number theory. Papers: Observations of N. Katz on the finer distribution of Gauss sum angles and similar ...more>>

  7. Discriminant Exponent Calculator - John Jones
    A Java applet for computing the maximum exponent of a prime in the discriminant of a number field of given degree. Enter values for the degree and the prime, and hit the Compute button. ...more>>

  8. D. J. Bernstein
    Courses, research articles (in dvi format), and a list of available software, listed by a professor of mathematics and computer science at the University of Illinois. Pages are also listed by topic. Also at ftp://koobera.math.uic.edu/www/djb.html. ...more>>

  9. Elliptic Curves and Elliptic Functions - Charles Daney
    From The Mathematics of Fermat's Last Theorem. With a glossary; contents include: What is an elliptic curve?; The group structure of an elliptic curve; Arithmetic on elliptic curves; Further basic concepts and results. ...more>>

  10. Elliptic Curves - Dave Rusin; The Mathematical Atlas
    An area of algebraic geometry that deals with nonsingular curves of genus 1 - in English, solutions to equations y^2 = x^3 + A x + B. It has important connections to number theory and in particular to factorization of ordinary integers (and thus to cryptography). ...more>>

  11. Euler Systems - Karl Rubin
    One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Here, in the first ...more>>

  12. Famous Equations and Inequalities - Peter Alfeld, University of Utah
    An idiosyncratic and personal selection of particularly important or particularly intriguing mathematical equations, not all of them complicated. Mathematical Constants; The definition of Pi; The definition of e; A differential equation; The Pythagorean ...more>>

  13. Field Theory and Polynomials - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to field theory and polynomials. Field theory looks at sets, such as the real number line, on which all the usual arithmetic properties hold, including, now, those of division. The study of multiple ...more>>

  14. The Fundamental Theorem of Algebra - B. Fine, Fairfield Univ., CT; G. Rosenberger, Univ. of Dortmund, Germany
    The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This basic result, whose first accepted proof was given by Gauss, lies at the intersection of the theory of numbers and the theory of equations, and arises ...more>>

  15. Galois Field Package for Mathematica - Ryoh Fuji-Hara; University of Tsukuba
    An explanation of the concept and design of the Galois field package. Start Up and Declarations; Variables; Mixed operations with integers or constants of the base field; Implemented functions; How to get the Package and its Manual. ...more>>

  16. Lecture Notes and Exercises - Paul Garrett
    Topics in Algebraic Number Theory: Buildings, BN-pairs, Hecke algebras, Geometric Algebra; Automorphic (Modular) Forms, Representations, L-functions, Number Theory; Functional Analysis; Abstract Algebra; Complex Analysis; Algebraic Number Theory; Intro ...more>>

  17. The Magma Computational Algebra System - Computational Algebra Group, University of Sydney
    A system designed by the Computational Algebra Group, headed by Dr J. J. Cannon, in the School of Mathematics and Statistics at the University of Sydney, to solve computationally hard problems in algebra, number theory, geometry and combinatorics. Magma ...more>>

  18. Mathematics Preprints - Mathematics Dept., Penn State University
    Preprints: general (American Mathematical Society Preprints; Hypatia; xxx E-print Archives; and the Front End for the xxx Mathematics Archive), and by subject area. ...more>>

  19. Math WWW VL: Specialized Fields - Dept. of Mathematics, Florida State University
    Links to sites for resources in specialized fields in college-level mathematics. ...more>>

  20. Representations and Cohomology Preprints - Dave Benson
    An alphabetical list of dvi and ps files, by author. ...more>>

  21. Research Interests - Richard Mollin
    Notes reflecting the author's interest in the interrelationships between continued fractions and ideal theory. This paper generalizes some independent seminal results by Chowla and Schinzel, later developed by Friesen. ...more>>


 
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