List matters of the theory of the numbers
See also: Cryptology
.
Factor (mathematics)
-
made up Numbers
- Numbers highly made up
- Parity (arithmetic)
- Dividing
- Highest common factor
- Lowest common multiple
- Algorithm of Euclide
- Prime numbers between them
- Lemma of Euclide
- Identity of Bézout, Lemma of Bézout
- Algorithm of wide Euclide
- Table of the dividers
- Prime numbers
- Factor first
- Table of the factors first
- Formula for the prime numbers
- Factorization
- fundamental Theorem of arithmetic the
- Whole without square factor
- Square perfect
- Power of two
- Polynomial with whole values
Fractions
- unit Fraction
- irreducible Fraction = in minor terms
- dyadic Fraction
- Decimal recurring
- cyclic Number
- continued Fraction
- Continuation of Farey
- Circle of Ford
- Tree of Stern-Brocot
- Somme of Dedekind
- Egyptian Fraction
Arithmetic modular
-
Reduction of modular Montgomery
- Exponentiation
- linear Theorem of congruence
- Method of successive substitutions
- Theorem of the Chinese remainders
- Modular system of representation: RNS
- Small theorem of Fermat
- Function φ of Euler
- Anticoïndicateur
- Anti-indicator
- Theorem of Euler
- Theorem of Wilson
- primitive Root modulo N
- quadratic Residue
- Criterion of Euler
- Symbol of Legendre
- Lemma of Gauss
- Congruence of squares
- Formula of Luhn
- Cryptanalyse MOD N
Test of primality and factorization
See also: calculative Theory of the numbers, algorithmic Theory of the numbers
-
Tests of divisions
- Screen of Sundaram
- Screen of Ératosthène
- Screen of Atkin
- Test of primality of Fermat
- Pseudopremier
- Number of Carmichaël
- Pseudopremier d' Euler
- Pseudopremier d' Euler-Jacobi
- Pseudopremier de Fibonacci
- Prime number probable
- Test of primality AKS
- Test of primality of Miller-Rabin
- Test of primality of Lucas-Lehmer
- Test of primality of Lucas-Lehmer for the numbers of Mersenne
- Test of primality of Solovay-Strassen
- NewPGen
- whole Factorization, Algorithm of factorization of prime number
- Algorithm p-1 of Pollard
- Algorithm rho of Pollard
- Factorization in elliptic curve of Lenstra
- Factorization of quadratic Dixon
- Screen
- special Screen of body of numbers (SNFS)
- Screen lieutenant-general of numbers (GNFS)
- Algorithm of probabilistic Shor
- Algorithm
- Competition of factorization RSA
arithmetic Function
-
multiplicative Fonction
- additive Fonction
- Convolution of Dirichlet
- Fonction of Möbius
- Formule of inversion of Möbius
- Fonction sigma
- Fonction divider
- Fonction of Liouville
- Fonction divides of an entirety
- Fonction partition
- whole Partition
- Nombres of Beautiful
- Fonction of Pram
- Théorème of the pentagonal number
analytical Theory of the numbers: problem additives
- Constellation of prime numbers
- Prime numbers twins
- Conjecture of the prime numbers twins
- Constant of Brown
- Prime numbers cousins
- Quadruplet of prime numbers
- Prime numbers sexy
- Prime number of Sophie Germain
- Prime number sure
- Chain of Cunningham
- Conjecture of weak Goldbach
- Second conjecture of Hardy-Littlewood
- Assumption H of Schinzel
- Problem of Waring
- Identity of Brahmagupta
- Identity of the four squares of Euler
- Theorem of the four squares of Lagrange
- Number taxicab
- taxicab Number generalized
- Number cabtaxi
- Somme of units
- Constant Density of Schnirelmann
- of Pram-Ramanujan
- Number of Sierpinski
- Seventeen or stop
Algebraic theory of the numbers
-
Whole of Rational Gauss, of Whole Gauss
- of Eisenstein
- Criterion of Eisenstein
- Prime number of quadratic Eisenstein
- Body
- Body of the algebraic numbers
- total Body
- Group of the classes of ideals
- Problem of the number of classes for the imaginary quadratic bodies
- Theorem of Stark-Heegner
- Number of Heegner
- Congruence of Ankeny-Artin-Chowla
- Root of the unit
- Period of Gauss, Somme of Gauss
- Theorem of cyclotomic Chowla-Mordell
- Body
- Theorem of Stickelberger
- Conjecture of Vandiver
- Theorem of Kronecker-Weber
- Theorem of theoretical Herbrand-Ribet
- Transformation of number
- Theorem of the units of Dirichlet
- Discriminant
- Ramification
- Ideal different
- Separation from the ideals first in the extensions galoisiennes, Group of decomposition, Group of inertia
- Automorphism of Frobenius
- Théorème of density of Chebotarev
- abelian Extension
- quadratic Loi of reciprocity
- Théorie of the bodies of classes
- Théorie of the local bodies of classes
- Formation of classes
- Théorème of existence of Takagi
- Théorème of the standard of Hasse
- Multiplication complexes
- abelian Variété of type CM
- integral normal Base
- Théorème of Hilbert-Speiser
- completely real Corps
- Formule of Chowla-Selberg
- Nombre p-adic
- local Body
- Ring adelic
- Module of Welshman
- Cohomologie galoisienne
- Theory of Iwasawa
- System of Euler
quadratic Forms
-
Network unimodulaire
- Theorem of Fermat on the sums of two squares
- Demonstrations of the theorem of Fermat on the sums of two squares
Functions L
- Problem of Mengoli on ζ (2)
- Number of Bernoulli
- Polynomial of Bernoulli
- Theorem of von Staudt-Clausen
- Conjecture of Agoh-Giuga
- Function zeta of Hurwitz
- Series of Dirichlet
- Produced eulérien
- Theorem of the prime numbers
- Function of account of the prime numbers
- integral Logarithm
- Function of variation integral logarithmic curve
- Constant of Legendre
- Number of Skewes
- Postulat of Bertrand
- Démonstration of the postulate of Bertrand
- Démonstration that the series of the opposite of the prime numbers diverges
- Conjecture from Cramér
- Hypothèse of Riemann
- Théorème from the right-hand side criticizes
- Conjecture of Hilbert-Pólya
- Hypothèse of Riemann generalized
- Théorème of Bombieri-Vinogradov
- Fonction of Mertens, Conjecture of Mertens, Constante of Meissel-Mertens
- Constante of Bruijn-Newman
- Caractère of Dirichlet
- Série L of Dirichlet
- Zero of Siegel
- Convolution of Dirichlet
- Series of Lambert
- Theorem of Dirichlet
- functional Equation (function L)
- Theorem of density of Chebotarev
- local Function zeta
- Theorem of Hasse
- Conjectures of modular Weil
- Form
- modular Group
- Sub-group of congruence
- Operator of Hecke
- Parabolic form
- Series of modular Eisenstein
- Curve
- Conjecture of Ramanujan-Petersson
- Conjecture of Birch and Swinnerton-Dyer
- Forme automorphe
- Formule of the traces of Selberg
- Conjecture of Artin
- Conjecture of Sato-Touches
- Programme of Langlands
- Théorème of Taniyama-Shimura
Equation diophantienne
-
Équation of Thue
- Triplet pythagorician
- Équation of elliptic Pell
- Courbe
- Théorème of Nagell-Lutz
- Théorème of Mordell-Weil
- Arithmétique of the abelian varieties
- Dernier theorem of Fermat
- Conjecture of Mordell
- Conjecture of Euler
- Conjecture ABC
- Conjecture of Catalan
- Conjecture of Plundered
- Principe of Hasse
- Ensemble diophantien
- Théorème of Matiyasevich
- Thousand seven hundred twenty-nine
Approximation diophantienne
- square Root of two
- Irrational quadratic
- whole square Root
- algebraic Number
- transcendent Number
- E (mathematical constant)
- pi, List of the matters connected to pi
- Quadrature of the circle
- Demonstration of the irrationality of E
- Theorem of Lindemann-Weierstrass
- Seventh problem of Hilbert
- Theorem of Gelfond-Schneider
- Constant of Erdős-Borwein
- Number of Liouville
- continued Fraction
- Constant mathematics (represented in continued fraction)
- Constant of Khinchin
- Constant of Levy
- Operator of Gauss-Kuzmin-Wirsing
- Function question mark
- generalized continued Fraction
- Theorem of Kronecker
- Theorem of Thue-Siegel-Roth
- Constant of Prouhet-Thue-Morse
- Constant of Gelfond-Schneider
- Equal distribution MOD 1
- Theorem of Beatty
- Conjecture of contradictory Littlewood
- Function
- low contradictory Continuation
- Illustration of a low contradictory continuation
- Constructions of contradictory continuations low
- Series Halton
- Geometry of the numbers
- Theorem of Minkowski
- Theorem of Pick
- Theorem of compactness of Mahler
- effective Results in theory of the numbers
- Theorem of Mahler
Methods of the screen
- broad Screen
particular Prime numbers
- Prime number of Cullen
- Prime number of Euler
- Prime number of Fermat
- Prime number “illegal”
- Prime number of Mersenne
- New conjecture of Mersenne
- Great research Internet of prime numbers of Mersenne
- Prime number of Newman-Shanks-Williams
- Prime number of Sophie Germain
- Prime number super-singular
- Prime number of Wagstaff
- Prime number of Wall-Sun-Sun
- Prime number of Wieferich
- Prime number of Wilson
- Prime number of Wolstenholme
- Prime number of Woodall
- Pages of prime numbers
Pseudo-random numbers
-
Generating of pseudo-random numbers
- Pseudo-aleatory
- Generating of pseudo-random numbers protected cryptographiquement
- Method of the Middle-public garden
- Blum Blum Shub
- Generating ISAAC
- of Generating Fibonacci distant
- from linear congruence
- Linear feedback Generating shift register
- of reduction
- Code of the brook
Summary of historical texts
- Über die Anzahl der Primzahlen unter einer gegebenen Grösse
- Vorlesungen über Zahlentheorie
Entertaining headings
NB the following list is not Péjorative, much of matters in theory of the numbers find their origin in problems of competition posed purely for their own interest. See Mathematical entertaining.
- Continuation of entireties
- Continuation of Fibonacci
- Continuation of Lucas
- numerical Somme
- Persistence of a number
- normal Number
- Number of Stoneham
- Constant of Champernowne
- absolutely normal Number
Continuations of numbers
- Number illustrated
- polygonal Number
- triangular Number
- Square perfect
- triangular square Number
- pentagonal Number
- hexagonal Number
- heptagonal Number
- octagonal Number
- Number ennéagonal
- Number décagonal
- Number centered
- triangular Number centered
- square Number centered
- pentagonal Number centered
- hexagonal Number centered
- heptagonal Number centered
- octagonal Number centered
- ennéagonal Number centered
- décagonal Number centered
- tetrahedral Number
- cubic Number
- cubic Number centered
- pyramidal Number
- triangular pyramidal Number
- square pyramidal Number
- pentagonal pyramidal Number
- hexagonal pyramidal Number
- heptagonal pyramidal Number
- octagonal pyramidal Number
- pyramidal Number ennéagonal
- pyramidal Number décagonal
- octahedral Number
- spangled Number
- Perfect number
- Number nearly perfect
- almost perfect Nombre
- multiple Perfect number
- Nombre hyperparfait
- semi-perfect Nombre
- primitive semi-perfect Nombre
- unit Perfect number
- strange Nombre
- friendly Nombre
- sociable Nombre
- abundant Nombre
- defective Nombre
- aliquot Suite
- Supernombres de Poulet
- lucky Nombre
- happy Nombre
- unhappy Nombre
- powerful Nombre
- primitive Nombre
- Uniform number
- Nombre palindrome
- polydivisible Nombre automorphe
- Nombre
- Nombre in harmonic division
- Nombre sphenic
- Nombre Harshad
- Nombre of Kaprekar
- Nombre of Keith
- Nombre of Leyland
- Nombre of Lychrel
- Nombre of Motzkin
- Nombre of Niven
- Nombre of Smarandache-Wellin
- Nombre of Smith
- Nombre of Zeisel
- Nombre doubles Mersenne
- oblong Nombre
- untouchable Nombre
- Auto number
- highly indicating Nombre
- Nombre practices
- Nombre vampire
Prime numbers and continuations connected
- Number semi-first
- Number almost first
- Prime number balanced
- Prime number fort
- Prime number weak
- Prime number single
- Prime number factorial
- Prime number permutable
- Prime number palindrome
- Prime number Cuban
- Prime number lucky
Magic squares, etc
- Spiral of magic Ulam
- magic Star
- Square
- standard Form of magic Frénicle
- Square of opposite of prime numbers
- Square bimagic
- Square trimagic
- Square multimagic
- Square panmagic
- Square diabolic
- Square satanic
- Square magic more than perfect
- Method LUX of Conway for the magic squares
- Cubic magic
- Cubic magic perfect
- Cubic magic semi-perfect
- Cubic bimagic
- Cubic trimagic
- Cubic multimagic
- magic Tesseract
- magic Hypercube
- Constant magic
- Squaring of the square
- Cubage of the cube
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