11-XX	Number theory
11-00	General reference works (handbooks, dictionaries, bibliographies, etc.)
11-01	Instructional exposition (textbooks, tutorial papers, etc.)
11-02	Research exposition (monographs, survey articles)
11-03	Historical {!must also be assigned at least one classification number from section 01}
11-04	Explicit machine computation and programs (not the theory of computation or programming)
11-06	Proceedings, conferences, collections, etc.
11Axx	Elementary number theory {For analogues in number fields, see 11R04}
11A05	Multiplicative structure; Euclidean algorithm; greatest common divisors
11A07	Congruences; primitive roots; residue systems
11A15	Power residues, reciprocity
11A25	Arithmetic functions; related numbers; inversion formulas
11A41	Primes
11A51	Factorization; primality
11A55	Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]
11A63	Radix representation; digital problems {For metric results, see 11K16}
11A67	Other representations
11A99	None of the above, but in this section
11Bxx	Sequences and sets
11B05	Density, gaps, topology
11B13	Additive bases [See also 05B10]
11B25	Arithmetic progressions [See also 11N13]
11B34	Representation functions
11B37	Recurrences {For applications to special functions, see 33-XX}
11B39	Fibonacci and Lucas numbers and polynomials and generalizations
11B50	Sequences (mod m)
11B57	Farey sequences; the sequences ${1^k, 2^k, ... }$
11B65	Binomial coefficients; factorials; $q$-identities [See also 05A10, 05A30]
11B68	Bernoulli and Euler numbers and polynomials
11B73	Bell and Stirling numbers
11B75	Other combinatorial number theory
11B83	Special sequences and polynomials
11B85	Automata sequences
11B99	None of the above, but in this section
11Cxx	Polynomials and matrices
11C08	Polynomials [See also 13F20]
11C20	Matrices, determinants [See also 15A36]
11C99	None of the above, but in this section
11Dxx	Diophantine equations [See also 11Gxx, 14Gxx]
11D04	Linear equations
11D09	Quadratic and bilinear equations
11D25	Cubic and quartic equations
11D41	Higher degree equations; Fermat's equation
11D45	Counting solutions of Diophantine equations
11D57	Multiplicative and norm form equations
11D59	Thue-Mahler equations
11D61	Exponential equations
11D68	Rational numbers as sums of fractions
11D72	Equations in many variables [See also 11P55]
11D75	Diophantine inequalities [See also 11J25]
11D79	Congruences in many variables
11D85	Representation problems [See also 11P55]
11D88	$P$-adic and power series fields
11D99	None of the above, but in this section
11Exx	Forms and linear algebraic groups [See also 19Gxx] {For quadratic forms in linear algebra, see 15A63}
11E04	Quadratic forms over general fields
11E08	Quadratic forms over local rings and fields
11E10	Forms over real fields
11E12	Quadratic forms over global rings and fields
11E16	General binary quadratic forms
11E20	General ternary and quaternary quadratic forms; forms of more than two variables
11E25	Sums of squares and representations by other particular quadratic forms
11E39	Bilinear and Hermitian forms
11E41	Class numbers of quadratic and Hermitian forms
11E45	Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
11E57	Classical groups [See also 14Lxx, 20Gxx]
11E70	$K$-theory of quadratic and Hermitian forms
11E72	Galois cohomology of linear algebraic groups [See also 20G10]
11E76	Forms of degree higher than two
11E81	Algebraic theory of quadratic forms; Witt groups and rings [See also 19G12, 19G24]
11E88	Quadratic spaces; Clifford algebras [See also 15A63, 15A66]
11E95	$P$-adic theory
11E99	None of the above, but in this section
11Fxx	Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14-XX, 22Exx, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45}
11F03	Modular and automorphic functions
11F06	Structure of modular groups and generalizations; arithmetic groups [See also 20H05, 20H10, 22E40]
11F11	Modular forms, one variable
11F12	Automorphic forms, one variable
11F20	Dedekind eta function, Dedekind sums
11F22	Relationship to Lie algebras and finite simple groups
11F23	Relations with algebraic geometry and topology
11F25	Hecke-Petersson operators, differential operators (one variable)
11F27	Theta series; Weil representation
11F30	Fourier coefficients of automorphic forms
11F32	Modular correspondences, etc.
11F33	Congruences for modular and $p$-adic modular forms [See also 14G20, 22E50]
11F37	Forms of half-integer weight; nonholomorphic modular forms
11F41	Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [See also 14J20]
11F46	Siegel modular groups and their modular and automorphic forms
11F50	Jacobi forms
11F52	Modular forms associated to Drinfel'd modules
11F55	Other groups and their modular and automorphic forms (several variables)
11F60	Hecke-Petersson operators, differential operators (several variables)
11F66	Dirichlet series and functional equations in connection with modular forms
11F67	Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
11F70	Representation-theoretic methods; automorphic representations over local and global fields
11F72	Spectral theory; Selberg trace formula
11F75	Cohomology of arithmetic groups
11F80	Galois representations // Representations ~ properties
11F85	$P$-adic theory, local fields [See also 14G20, 22E50]
11F99	None of the above, but in this section
11Gxx	Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14-XX, 14Gxx, 14Kxx]
11G05	Elliptic curves over global fields [See also 14H52]
11G07	Elliptic curves over local fields [See also 14G20, 14H52]
11G09	Drinfel'd modules; higher-dimensional motives, etc. [See also 14L05]
11G10	Abelian varieties of dimension $\gtr 1$ [See also 14Kxx]
11G15	Complex multiplication and moduli of Abelian varieties [See also 14K22]
11G16	Elliptic and modular units [See also 11R27]
11G18	Arithmetic aspects of modular and Shimura varieties [See also 14G35]
11G20	Curves over finite and local fields [See also 14H25]
11G25	Varieties over finite and local fields [See also 14G15, 14G20]
11G30	Curves of arbitrary genus or genus $\ne 1$ over global fields [See also 14H25]
11G35	Varieties over global fields [See also 14G25]
11G40	$L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [See also 14G10]
11G45	Geometric class field theory [See also 11R37, 14C35, 19F05]
11G50	Heights
11G55	Polylogarithms and relations with $K$-theory
11G99	None of the above, but in this section
11Hxx	Geometry of numbers {For applications in coding theory, see 94B75}
11H06	Lattices and convex bodies [See also 11P21, 52C05, 52C07]
11H16	Nonconvex bodies
11H31	Lattice packing and covering [See also 05B40, 52C15, 52C17]
11H46	Products of linear forms
11H50	Minima of forms
11H55	Quadratic forms (reduction theory, extreme forms, etc.)
11H56	Automorphism groups of lattices
11H60	Mean value and transfer theorems
11H71	Relations with coding theory
11H99	None of the above, but in this section
11Jxx	Diophantine approximation, transcendental number theory [See also 11K60]
11J04	Homogeneous approximation to one number
11J06	Markov and Lagrange spectra and generalizations
11J13	Simultaneous homogeneous approximation, linear forms
11J17	Approximation by numbers from a fixed field
11J20	Inhomogeneous linear forms
11J25	Diophantine inequalities [See also 11D75]
11J54	Small fractional parts of polynomials and generalizations
11J61	Approximation in non-Archimedean valuations
11J68	Approximation to algebraic numbers
11J70	Continued fractions and generalizations [See also 11A55, 11K50]
11J71	Distribution modulo one [See also 11K06]
11J72	Irrationality; linear independence over a field
11J81	Transcendence (general theory)
11J82	Measures of irrationality and of transcendence
11J83	Metric theory
11J85	Algebraic independence; Gelfond's method
11J86	Linear forms in logarithms; Baker's method
11J89	Transcendence theory of elliptic and Abelian functions
11J91	Transcendence theory of other special functions
11J93	Transcendence theory of Drinfel'd and $t$-modules
11J95	Results involving Abelian varieties
11J97	Analogues of methods in Nevanlinna theory (work of Vojta et al.)
11J99	None of the above, but in this section
11Kxx	Probabilistic theory: distribution modulo $1$; metric theory of algorithms
11K06	General theory of distribution modulo $1$ [See also 11J71]
11K16	Normal numbers, radix expansions, etc. [See also 11A63]
11K31	Special sequences
11K36	Well-distributed sequences and other variations
11K38	Irregularities of distribution, discrepancy [See also 11Nxx]
11K41	Continuous, $p$-adic and abstract analogues
11K45	Pseudo-random numbers; Monte_Carlo methods
11K50	Metric theory of continued fractions [See also 11A55, 11J70]
11K55	Metric theory of other algorithms and expansions; measure and Hausdorff dimension [See also 11N99, 28Dxx]
11K60	Diophantine approximation [See also 11Jxx]
11K65	Arithmetic functions [See also 11Nxx]
11K70	Harmonic analysis and almost periodicity
11K99	None of the above, but in this section
11Lxx	Exponential sums and character sums {For finite fields, see 11Txx}
11L03	Trigonometric and exponential sums, general
11L05	Gauss and Kloosterman sums; generalizations
11L07	Estimates on exponential sums
11L10	Jacobsthal and Brewer sums; other complete character sums
11L15	Weyl sums
11L20	Sums over primes
11L26	Sums over arbitrary intervals
11L40	Estimates on character sums
11L99	None of the above, but in this section
11Mxx	Zeta and $L$-functions: analytic theory
11M06	$\Zeta(s)$ and $L(s,\chi)$
11M20	Real zeros of $L(s,\chi)$; results on $L(1,\chi)$
11M26	Nonreal zeros of $\zeta(s)$ and $L(s,\chi)$; Riemann and other hypotheses
11M35	Hurwitz and Lerch zeta functions
11M36	Selberg zeta functions and regularized determinants
11M38	Zeta and $L$-functions in characteristic $p$
11M41	Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10} [See also 11E45, 11F66, 11F70, 11F72]
11M45	Tauberian theorems [See also 40E05]
11M99	None of the above, but in this section
11Nxx	Multiplicative number theory
11N05	Distribution of primes
11N13	Primes in progressions [See also 11B25]
11N25	Distribution of integers with specified multiplicative constraints
11N30	Tur\'an theory [See also 30Bxx]
11N32	Primes represented by polynomials; other multiplicative structure of polynomial values
11N35	Sieves
11N36	Applications of sieve methods
11N37	Asymptotic results on arithmetic functions
11N45	Asymptotic results on counting functions for algebraic and topological structures
11N56	Rate of growth of arithmetic functions
11N60	Distribution functions associated with additive and positive multiplicative functions
11N64	Other results on the distribution of values or the characterization of arithmetic functions
11N69	Distribution of integers in special residue classes
11N75	Applications of automorphic functions and forms to multiplicative problems [See also 11Fxx]
11N80	Generalized primes and integers
11N99	None of the above, but in this section
11Pxx	Additive number theory; partitions
11P05	Waring's problem and variants
11P21	Lattice points in specified regions
11P32	Goldbach-type theorems; other additive questions involving primes
11P55	Applications of the Hardy-Littlewood method [See also 11D85]
11P70	Inverse problems of additive number theory
11P81	Elementary theory of partitions [See also 05A17]
11P82	Analytic theory of partitions
11P83	Partitions; congruences and congruential restrictions
11P99	None of the above, but in this section
11Rxx	Algebraic number theory: global fields {For complex multiplication, see 11G15}
11R04	Algebraic numbers; rings of algebraic integers
11R06	PV-numbers and generalizations; other special algebraic numbers
11R09	Polynomials (irreducibility, etc.)
11R11	Quadratic extensions
11R16	Cubic and quartic extensions
11R18	Cyclotomic extensions
11R20	Other Abelian and metabelian extensions
11R21	Other number fields
11R23	Iwasawa theory
11R27	Units and factorization
11R29	Class numbers, class groups, discriminants
11R32	Galois theory
11R33	Integral representations related to algebraic numbers; Galois module structure of rings of integers [See also 20C10]
11R34	Galois cohomology [See also 12Gxx, 16H05, 19A31]
11R37	Class field theory
11R39	Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E55]
11R42	Zeta functions and $L$-functions of number fields [See also 11M41, 19F27]
11R44	Distribution of prime ideals [See also 11N05]
11R45	Density theorems
11R47	Other analytic theory [See also 11Nxx]
11R52	Quaternion and other division algebras: arithmetic, zeta functions
11R54	Other algebras and orders, and their zeta and $L$-functions [See also 11S45, 16H05, 16Kxx]
11R56	Adele rings and groups
11R58	Arithmetic theory of algebraic function fields [See also 14-XX]
11R60	Cyclotomic function fields (class groups, Bernoulli objects, etc.)
11R65	Class groups and Picard groups of orders
11R70	$K$-theory of global fields [See also 19Fxx]
11R80	Totally real and totally positive fields [See also 12J15]
11R99	None of the above, but in this section
11Sxx	Algebraic number theory: local and $p$-adic fields
11S05	Polynomials
11S15	Ramification and extension theory
11S20	Galois theory
11S23	Integral representations
11S25	Galois cohomology [See also 12Gxx, 16H05]
11S31	Class field theory; $p$-adic formal groups [See also 14L05]
11S37	Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E50]
11S40	Zeta functions and $L$-functions [See also 11M41, 19F27]
11S45	Algebras and orders, and their zeta functions [See also 11R52, 11R54, 16H05, 16Kxx]
11S70	$K$-theory of local fields [See also 19Fxx]
11S80	Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.)
11S85	Other nonanalytic theory
11S90	Prehomogeneous vector spaces
11S99	None of the above, but in this section
11Txx	Finite fields and commutative rings (number-theoretic aspects)
11T06	Polynomials
11T22	Cyclotomy
11T23	Exponential sums
11T24	Other character sums and Gauss sums
11T30	Structure theory
11T55	Arithmetic theory of polynomial rings over finite fields
11T60	Finite upper-half planes
11T71	Algebraic coding theory; cryptography
11T99	None of the above, but in this section
11Uxx	Connections with logic
11U05	Decidability [See also 03B25]
11U07	Ultraproducts [See also 03C20]
11U09	Model theory [See also 03Cxx]
11U10	Nonstandard arithmetic [See also 03H15]
11U99	None of the above, but in this section
11Yxx	Computational number theory [See also 11-04]
11Y05	Factorization
11Y11	Primality
11Y16	Algorithms; complexity [See also 68Q25]
11Y35	Analytic computations
11Y40	Algebraic number theory computations
11Y50	Computer solution of Diophantine equations
11Y55	Calculation of integer sequences
11Y60	Evaluation of constants
11Y65	Continued fraction calculations
11Y70	Values of arithmetic functions; tables
11Y99	None of the above, but in this section
11Z05	Miscellaneous applications of number theory