Arithmetic
properties of Binomial Coefficients
ADD. KEYWORDS: Elementary Number Theory, Lucas' Theorem,
Pascal's triangle via cellular automata, Bernoulli numbers and polynomials,
Theorems of Morley and Emma Lehmer and their generalizations, Some useful
p-adic numbers
Bernoulli (Beta) and Integer
Part Sequences
ADD. KEYWORDS: Article
SOURCE: Rod Nillsen, Keith Tognetti and Graham Winley,
University of Wollongong
TECHNOLOGY: Adobe PDF, Postscript and DVI readers
The
Bernoulli numbers
ADD. KEYWORDS: Zeta function, Clausen von Staudt's theorem,
asymptotic expansion, bounds and the Euler-Maclaurin formula
Cryptography and Cryptanalysis
ADD. KEYWORDS: Lecture Notes, History, Crash Course in
Number Theory, Properties of Mod, Calculator algorithms, Simple cryptosystems,
Modern stream ciphers, Running time of algorithms, Public key cryptography,
RSA, Signatures, Hash functions, Finite fields, Discrete log cryptosystems,
Diffie Hellman key exchange, ElGamal message exchange, Massey Omura ``keyless''
message exchange, ElGamal signature system, Elliptic curves, Elliptic curve
cryptosystems, Vigenere cipher, Kasiski and Friedman tests, Modern stream
ciphers, b/p keystream generator, Linear shift register keystream generator,
Fermat factorization, Continued fraction factoring, Elliptic curve factoring,
Number fields, Number field sieve, Discrete log problem in F_p*, Index calculus
algorithm in F_{2^r}*, Tribute to Pollard, Cryptanalysis of DES, Linear cryptanalysis,
Differential cryptanalysis
SOURCE: Edward Schaefer, Santa Clara University
TECHNOLOGY: Postscript reader
Fibonacci - his rabbits
and his numbers and Kepler
ADD. KEYWORDS: History, The Golden Sectio - Aureo Section,
Properties, Generating function for the Fibonacci numbers, Binet formula
SOURCE: Keith Tognetti, University of Wollongong
TECHNOLOGY: Adobe PDF, Postscript and DVI readers
Fibonacci
Numbers and the Golden Section
ADD. KEYWORDS: History, Puzzles, Lists, The Golden Section
In Art, Architecture and Music, Fibonacci bases, Pi, Bibliography
Fibonacci Series
ADD. KEYWORDS: Student Project, ThinkQuest, Binet's Formula,
Fibonacci Spiral, Golden Rectangle, Golden Ratio, Golden Spiral, Leonardo
da Vinci
SOURCE: Matt Anderson, Jeffrey Frazier, and Kris Popendorf
TECHNOLOGY: Macromedia Flash, Javascript
A Guide to Arithmetic
ADD. KEYWORDS: Class notes, congruences, Chinese remainder
theorem, Fermat's Theorem, Primality testing, Miller-Rabin test, Cryptography,
Mersenne numbers, quadratic residues, Diophantine equations, Pell's equation,
continued fractions.
SOURCE: Robin Chapman, University of Exeter
TECHNOLOGY: TeX DVI
Hilbert's Tenth Problem
ADD. KEYWORDS: History, Bibliography, Articles and preprints,
Conferences and Meetings, Portraits
Interactive Mathematic
Miscellany and Puzzles - Arithmetic and Algebra
ADD. KEYWORDS: Binary Euclid's Algorithm, Chinese Remainder
Theorem, Continued fractions, Constructible Numbers, Euler's Function and
Congruence Theorem, Farey Series, Formula for Primes, Peano axioms, Pythagorean
Triples, Wilson's Theorem
Introduction
to Analytic Number Theory
ADD. KEYWORDS: Course materials, Tutorial
SOURCE: Noam D. Elkies, Harvard University.
TECHNOLOGY: Postscript reader
Introduction
to Number Theory
ADD. KEYWORDS: The Factorization of Integers, Divisibility,
Prime Numbers, The Greatest Common Divisor, Unique Factorization, Linear Diophantine
Equations, Perfect Numbers, Mersenne Numbers and Fermat Numbers, Congruences,
Reduced Residue System, Euler -Function, Congruences, Chinese Remainder Theorem,
Congruences Modulo a Prime Power, Quadratic Residues, Legendre Symbol, Quadratic
Reciprocity, Jacobi's Symbol, The Order of an Integer, Primitive Roots, Continued
Fractions
Number Theory
ADD. KEYWORDS: Collection of articles written by Kevin
Brown, Identities for Linear Recurring Sequences, The Half-Totient Tree, Symmetric
Pseudoprimes, Zeisel Numbers, The Jewel of Arithmetic: Quadratic Reciprocity,
Highly Wilsonian Primes, Congruences on 4th Order Recurrences, Quadratic Congruences,
Sums of Three Cubes, Congruences Involving the Totient Function, A Conjecture
On The Fermat Function, Smith Numbers and Rhonda Numbers, Infinitely Many
Rhondas, etc.
Number Theory
ADD. KEYWORDS: Generic Two integer variable equation solver,
Quadratic modular equation solver, Sum of powers, Ulam's Spiral
SOURCE: Darío Alejandro Alpern
TECHNOLOGY: Java Applet
Number Theory Tutorials
ADD. KEYWORDS: Divisibility and primes, Euclidean algorithm,
Euler's theorem, Representation of numbers, Bertrand's postulate
SOURCE: Arkadii Slinko, Mathematics Olympiad Learning
Centre
TECHNOLOGY: Adobe Acrobat Reader
Number Theory Web (American
Site and Australian
Site)
ADD. KEYWORDS: Number theory, software sites, computational
number theory sites, conferences, courses in number theory, lecture notes,
journals
La Quinta Operación
Aritmética (The Fifth Arithmetical Operation)
ADD. KEYWORDS: Sections from a published book, Rational
Mean, Roots Solving, Continued Fractions
SOURCE: Domingo Gómez Morín
Reciprocity
Laws
ADD. KEYWORDS: Quadratic Number Fields, Cyclotomic Number
Fields, Power Residues and Gauss Sums, Rational Reciprocity Laws, Quartic
Reciprocity, Cubic Reciprocity, Octic Reciprocity, Eisenstein's Analytic Proofs,
Gauss' Last Entry, Eisenstein Reciprocity, Hilbert's Quadratic Reciprocity
Law, Takagi, Artin, Hasse
ZetaGrid - Verification
of the Riemann Hypothesis
ADD. KEYWORDS: Computation of zeros of the zeta function
SOURCE: Sebastian Wedeniwski, IBM Deutschland Entwicklung
GmbH
TECHNOLOGY: Source Code, Piologie
