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This page provides a list of all articles available at PlanetMath in the following topic:

11-XX Number theory.

This list will be periodically updated. Each entry in the list has three fields:

  1. PM : The first field is the link to the PlanetMath article, along with the article's object ID.
  2. WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
  3. Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status means PM article
N not needed
A adequately covered
C copied
M merged
NC needs copying
NM needs merging
  • Please update the WP and Status fields as appropriate.
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11-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

See 03-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  • PM: integer, id=403 -- Duplicate entry.
See 03-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  • PM: mean, id=3028 -- WP guess: mean -- Status:
  • PM: pi, id=432 -- WP guess: pi -- Status:

11-01 Instructional exposition (textbooks, tutorial papers, etc.)

  • PM: base, id=3313 -- WP guess: base -- Status:

11Z05 Miscellaneous applications of number theory

11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors

11A07 Congruences; primitive roots; residue systems

11A15 Power residues, reciprocity

See 11A07 Congruences; primitive roots; residue systems
See 11A07 Congruences; primitive roots; residue systems
See 11A07 Congruences; primitive roots; residue systems

11A41 Primes

See 11A25 Arithmetic functions; related numbers; inversion formulas
See 11A25 Arithmetic functions; related numbers; inversion formulas
See 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors
See 11A07 Congruences; primitive roots; residue systems

11A51 Factorization; primality

See 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors
See 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors
See 11A41 Primes

11A55 Continued fractions

See 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors

11A63 Radix representation; digital problems

  • PM: surd, id=5751 -- WP guess: surd -- Status:

11A67 Other representations

11A99 Miscellaneous

See 03E99 Miscellaneous

11B05 Density, gaps, topology

11B13 Additive bases

See 11B05 Density, gaps, topology
See 11B05 Density, gaps, topology
See 11B05 Density, gaps, topology
See 11B05 Density, gaps, topology
  • PM: sumset, id=3830 -- Duplicate entry.
See 11B05 Density, gaps, topology

11B25 Arithmetic progressions

See 00A05 General mathematics
See 05D10 Ramsey theory
See 00A05 General mathematics
See 00A05 General mathematics
See 05D10 Ramsey theory

11B34 Representation functions

See 11B05 Density, gaps, topology
See 11B05 Density, gaps, topology

11B37 Recurrences

See 03D20 Recursive functions and relations, subrecursive hierarchies

11B39 Fibonacci and Lucas numbers and polynomials and generalizations

11B50 Sequences (mod $m$)

11B57 Farey sequences; the sequences $$

See 11A55 Continued fractions

11B65 Binomial coefficients; factorials; $q$-identities

See 05A10 Factorials, binomial coefficients, combinatorial functions
See 05A10 Factorials, binomial coefficients, combinatorial functions
See 05A10 Factorials, binomial coefficients, combinatorial functions
See 05A10 Factorials, binomial coefficients, combinatorial functions
See 05A10 Factorials, binomial coefficients, combinatorial functions
See 05A10 Factorials, binomial coefficients, combinatorial functions
See 05A10 Factorials, binomial coefficients, combinatorial functions
See 05A10 Factorials, binomial coefficients, combinatorial functions
See 05A10 Factorials, binomial coefficients, combinatorial functions

11B68 Bernoulli and Euler numbers and polynomials

See 05A15 Exact enumeration problems, generating functions

11B73 Bell and Stirling numbers

See 05A18 Partitions of sets

11B75 Other combinatorial number theory

11B83 Special sequences and polynomials

11B85 Automata sequences

11B99 Miscellaneous

  • PM: positive, id=6147 -- Duplicate entry.
See 00A05 General mathematics

11C08 Polynomials

See 11A07 Congruences; primitive roots; residue systems

11C99 Miscellaneous

11D09 Quadratic and bilinear equations

11D25 Cubic and quartic equations

11D41 Higher degree equations; Fermat's equation

11D68 Rational numbers as sums of fractions

See 11A67 Other representations
See 11A67 Other representations

11D79 Congruences in many variables

11D85 Representation problems

See 11D09 Quadratic and bilinear equations

11D99 Miscellaneous

11E16 General binary quadratic forms

11E39 Bilinear and Hermitian forms

11E88 Quadratic spaces; Clifford algebras

11F06 Structure of modular groups and generalizations; arithmetic groups

11F11 Modular forms, one variable

11F30 Fourier coefficients of automorphic forms

11F67 Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols

11F80 Galois representations

See 11D41 Higher degree equations; Fermat's equation
See 11D41 Higher degree equations; Fermat's equation

11G05 Elliptic curves over global fields

11G07 Elliptic curves over local fields

See 11G05 Elliptic curves over global fields

11H06 Lattices and convex bodies

11H46 Products of linear forms

See 46M05 Tensor products

11J04 Homogeneous approximation to one number

11J68 Approximation to algebraic numbers

11J71 Distribution modulo one

11J72 Irrationality; linear independence over a field

11J81 Transcendence (general theory)

See 11B85 Automata sequences

11J82 Measures of irrationality and of transcendence

See 11J72 Irrationality; linear independence over a field
See 11J72 Irrationality; linear independence over a field
See 11J72 Irrationality; linear independence over a field
See 11J72 Irrationality; linear independence over a field
See 11J81 Transcendence (general theory)

11K06 General theory of distribution modulo $1$

11K16 Normal numbers, radix expansions, etc.

11K38 Irregularities of distribution, discrepancy

See 11K06 General theory of distribution modulo $1$
See 11K06 General theory of distribution modulo $1$

11K45 Pseudo-random numbers; Monte Carlo methods

11K99 Miscellaneous

See 05C80 Random graphs

11L03 Trigonometric and exponential sums, general

See 11K06 General theory of distribution modulo $1$

11L05 Gauss and Kloosterman sums; generalizations

11L40 Estimates on character sums

11M06 $\zeta (s)$ and $L(s, \chi)$

See 11J81 Transcendence (general theory)

11M99 Miscellaneous

11N05 Distribution of primes

See 11A25 Arithmetic functions; related numbers; inversion formulas
See 11A25 Arithmetic functions; related numbers; inversion formulas

11N13 Primes in progressions

11N25 Distribution of integers with specified multiplicative constraints

11N32 Primes represented by polynomials; other multiplicative structure of polynomial values

11N35 Sieves

11N36 Applications of sieve methods

See 11N05 Distribution of primes
See 11N35 Sieves

11N56 Rate of growth of arithmetic functions

11N80 Generalized primes and integers

11N99 Miscellaneous

See 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors
See 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors

11P05 Waring's problem and variants

See 11B13 Additive bases

11P32 Goldbach-type theorems; other additive questions involving primes

See 11-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

11P81 Elementary theory of partitions

11P99 Miscellaneous

See 05A17 Partitions of integers

11R04 Algebraic numbers; rings of algebraic integers

11R06 PV-numbers and generalizations; other special algebraic numbers

See 11J71 Distribution modulo one

11R11 Quadratic extensions

11R18 Cyclotomic extensions

See 11C08 Polynomials
See 11C08 Polynomials

11R20 Other abelian and metabelian extensions

See 11R18 Cyclotomic extensions

11R27 Units and factorization

See 11R04 Algebraic numbers; rings of algebraic integers

11R29 Class numbers, class groups, discriminants

See 11R04 Algebraic numbers; rings of algebraic integers

11R32 Galois theory

See 11R04 Algebraic numbers; rings of algebraic integers
See 11R29 Class numbers, class groups, discriminants
See 11R04 Algebraic numbers; rings of algebraic integers

11R34 Galois cohomology

See 11R04 Algebraic numbers; rings of algebraic integers
See 11R32 Galois theory

11R37 Class field theory

See 11R04 Algebraic numbers; rings of algebraic integers
See 11R29 Class numbers, class groups, discriminants
See 11R04 Algebraic numbers; rings of algebraic integers
See 11R18 Cyclotomic extensions

11R42 Zeta functions and $L$-functions of number fields

See 11R29 Class numbers, class groups, discriminants

11R44 Distribution of prime ideals

See 11R37 Class field theory

11R45 Density theorems

See 11R37 Class field theory

11R52 Quaternion and other division algebras: arithmetic, zeta functions

11R56 Adèle rings and groups

11R58 Arithmetic theory of algebraic function fields

See 11A15 Power residues, reciprocity

11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.)

See 11C08 Polynomials
See 11C08 Polynomials

11R99 Miscellaneous

11S15 Ramification and extension theory

11S20 Galois theory

See 11R32 Galois theory
See 11R32 Galois theory
See 11R32 Galois theory

11S25 Galois cohomology

See 11R32 Galois theory

11S31 Class field theory; $p$-adic formal groups

11S80 Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.)

See 11S31 Class field theory; $p$-adic formal groups

11S99 Miscellaneous

11T23 Exponential sums

See 11L03 Trigonometric and exponential sums, general

11T55 Arithmetic theory of polynomial rings over finite fields

See 11A15 Power residues, reciprocity

11T71 Algebraic coding theory; cryptography

11T99 Miscellaneous

11Y05 Factorization

See 11Z05 Miscellaneous applications of number theory
See 11A51 Factorization; primality
See 11A51 Factorization; primality

11Y11 Primality

See 11Z05 Miscellaneous applications of number theory
See 11A41 Primes

11Y40 Algebraic number theory computations

See 11Z05 Miscellaneous applications of number theory

11Y55 Calculation of integer sequences

11Y99 Miscellaneous

See 11A07 Congruences; primitive roots; residue systems
See 11C99 Miscellaneous
See 11A07 Congruences; primitive roots; residue systems
See 11C99 Miscellaneous
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