11-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 2 Dok.)

• 11-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 11-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 11-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
• 11-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 11-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 11-XX Number theory ( 0 Dok.)
• 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors ( 0 Dok.)
• 11A07 Congruences; primitive roots; residue systems ( 0 Dok.)
• 11A15 Power residues, reciprocity ( 0 Dok.)
• 11A25 Arithmetic functions; related numbers; inversion formulas ( 0 Dok.)
• 11A41 Primes ( 0 Dok.)
• 11A51 Factorization; primality ( 0 Dok.)
• 11A55 Continued fractions ( 0 Dok.)
• 11A63 Radix representation; digital problems ( 0 Dok.)
• 11A67 Other representations ( 0 Dok.)
• 11A99 None of the above, but in this section ( 0 Dok.)
• 11Axx Elementary number theory ( 0 Dok. )
• 11B05 Density, gaps, topology ( 0 Dok.)
• 11B13 Additive bases ( 0 Dok.)
• 11B25 Arithmetic progressions ( 0 Dok.)
• 11B34 Representation functions ( 0 Dok.)
• 11B37 Recurrences ( 0 Dok.)
• 11B39 Fibonacci and Lucas numbers and polynomials and generalizations ( 0 Dok.)
• 11B50 Sequences (mod m) ( 0 Dok.)
• 11B57 Farey sequences; the sequences ( 0 Dok.)
• 11B65 Binomial coefficients; factorials; q-identities ( 0 Dok.)
• 11B68 Bernoulli and Euler numbers and polynomials ( 0 Dok.)
• 11B73 Bell and Stirling numbers ( 0 Dok.)
• 11B75 Other combinatorial number theory ( 0 Dok.)
• 11B83 Special sequences and polynomials ( 0 Dok.)
• 11B85 Automata sequences ( 0 Dok.)
• 11B99 None of the above, but in this section ( 0 Dok.)
• 11Bxx Sequences and sets ( 0 Dok. )
• 11C08 Polynomials ( 0 Dok.)
• 11C20 Matrices, determinants ( 0 Dok.)
• 11C99 None of the above, but in this section ( 0 Dok.)
• 11Cxx Polynomials and matrices ( 0 Dok. )
• 11D04 Linear equations ( 0 Dok.)
• 11D09 Quadratic and bilinear equations ( 0 Dok.)
• 11D25 Cubic and quartic equations ( 0 Dok.)
• 11D41 Higher degree equations; Fermat's equation ( 0 Dok.)
• 11D45 Counting solutions of Diophantine equations ( 0 Dok.)
• 11D57 Multiplicative and norm form equations ( 0 Dok.)
• 11D59 Thue-Mahler equations ( 0 Dok.)
• 11D61 Exponential equations ( 0 Dok.)
• 11D68 Rational numbers as sums of fractions ( 0 Dok.)
• 11D72 Equations in many variables ( 0 Dok.)
• 11D75 Diophantine inequalities ( 0 Dok.)
• 11D79 Congruences in many variables ( 0 Dok.)
• 11D85 Representation problems ( 0 Dok.)
• 11D88 p-adic and power series fields ( 0 Dok.)
• 11D99 None of the above, but in this section ( 0 Dok.)
• 11Dxx Diophantine equations ( 0 Dok. )
• 11E04 Quadratic forms over general fields ( 0 Dok.)
• 11E08 Quadratic forms over local rings and fields ( 0 Dok.)
• 11E10 Forms over real fields ( 0 Dok.)
• 11E12 Quadratic forms over global rings and fields ( 0 Dok.)
• 11E16 General binary quadratic forms ( 0 Dok.)
• 11E20 General ternary and quaternary quadratic forms; forms of more than two variables ( 0 Dok.)
• 11E25 Sums of squares and representations by other particular quadratic forms ( 0 Dok.)
• 11E39 Bilinear and Hermitian forms ( 0 Dok.)
• 11E41 Class numbers of quadratic and Hermitian forms ( 0 Dok.)
• 11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) ( 0 Dok.)
• 11E57 Classical groups ( 0 Dok.)
• 11E70 K-theory of quadratic and Hermitian forms ( 0 Dok.)
• 11E72 Galois cohomology of linear algebraic groups ( 0 Dok.)
• 11E76 Forms of degree higher than two ( 0 Dok.)
• 11E81 Algebraic theory of quadratic forms; Witt groups and rings ( 0 Dok.)
• 11E88 Quadratic spaces; Clifford algebras ( 0 Dok.)
• 11E95 p-adic theory ( 0 Dok.)
• 11E99 None of the above, but in this section ( 0 Dok.)
• 11Exx Forms and linear algebraic groups ( 0 Dok. )
• 11F03 Modular and automorphic functions ( 0 Dok.)
• 11F06 Structure of modular groups and generalizations; arithmetic groups ( 0 Dok.)
• 11F11 Modular forms, one variable ( 0 Dok.)
• 11F12 Automorphic forms, one variable ( 0 Dok.)
• 11F20 Dedekind eta function, Dedekind sums ( 0 Dok.)
• 11F22 Relationship to Lie algebras and finite simple groups ( 0 Dok.)
• 11F23 Relations with algebraic geometry and topology ( 0 Dok.)
• 11F25 Hecke-Petersson operators, differential operators (one variable) ( 0 Dok.)
• 11F27 Theta series; Weil representation ( 0 Dok.)
• 11F30 Fourier coefficients of automorphic forms ( 0 Dok.)
• 11F32 Modular correspondences, etc. ( 0 Dok.)
• 11F33 Congruences for modular and p-adic modular forms ( 0 Dok.)
• 11F37 Forms of half-integer weight; nonholomorphic modular forms ( 0 Dok.)
• 11F41 Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces ( 0 Dok.)
• 11F46 Siegel modular groups and their modular and automorphic forms ( 0 Dok.)
• 11F50 Jacobi forms ( 0 Dok.)
• 11F52 Modular forms associated to Drinfel'd modules ( 0 Dok.)
• 11F55 Other groups and their modular and automorphic forms (several variables) ( 0 Dok.)
• 11F60 Hecke-Petersson operators, differential operators (several variables) ( 0 Dok.)
• 11F66 Dirichlet series and functional equations in connection with modular forms ( 0 Dok.)
• 11F67 Special values of automorphic L-series, periods of modular forms, cohomology, modular symbols ( 0 Dok.)
• 11F70 Representation-theoretic methods; automorphic representations over local and global fields ( 0 Dok.)
• 11F72 Spectral theory; Selberg trace formula ( 0 Dok.)
• 11F75 Cohomology of arithmetic groups ( 0 Dok.)
• 11F80 Galois representations ( 0 Dok.)
• 11F85 p-adic theory, local fields ( 0 Dok.)
• 11F99 None of the above, but in this section ( 0 Dok.)
• 11Fxx Discontinuous groups and automorphic forms ( 0 Dok. )
• 11G05 Elliptic curves over global fields ( 0 Dok.)
• 11G07 Elliptic curves over local fields ( 0 Dok.)
• 11G09 Drinfeld modules; higher-dimensional motives, etc. ( 0 Dok.)
• 11G10 Abelian varieties of dimension gtr 1 ( 0 Dok.)
• 11G15 Complex multiplication and moduli of abelian varieties ( 0 Dok.)
• 11G16 Elliptic and modular units ( 0 Dok.)
• 11G18 Arithmetic aspects of modular and Shimura varieties ( 0 Dok.)
• 11G20 Curves over finite and local fields ( 0 Dok.)
• 11G25 Varieties over finite and local fields ( 0 Dok.)
• 11G30 Curves of arbitrary genus or genus ne 1 over global fields ( 0 Dok.)
• 11G35 Varieties over global fields ( 0 Dok.)
• 11G40 L-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture ( 0 Dok.)
• 11G45 Geometric class field theory ( 1 Dok.)
• 11G50 Heights ( 0 Dok.)
• 11G55 Polylogarithms and relations with K-theory ( 0 Dok.)
• 11G99 None of the above, but in this section ( 0 Dok.)
• 11Gxx Arithmetic algebraic geometry (Diophantine geometry) ( 1 Dok. )
• 11H06 Lattices and convex bodies ( 0 Dok.)
• 11H16 Nonconvex bodies ( 0 Dok.)
• 11H31 Lattice packing and covering ( 0 Dok.)
• 11H46 Products of linear forms ( 0 Dok.)
• 11H50 Minima of forms ( 0 Dok.)
• 11H55 Quadratic forms (reduction theory, extreme forms, etc.) ( 0 Dok.)
• 11H56 Automorphism groups of lattices ( 0 Dok.)
• 11H60 Mean value and transfer theorems ( 0 Dok.)
• 11H71 Relations with coding theory ( 0 Dok.)
• 11H99 None of the above, but in this section ( 0 Dok.)
• 11Hxx Geometry of numbers ( 0 Dok. )
• 11J04 Homogeneous approximation to one number ( 0 Dok.)
• 11J06 Markov and Lagrange spectra and generalizations ( 0 Dok.)
• 11J13 Simultaneous homogeneous approximation, linear forms ( 0 Dok.)
• 11J17 Approximation by numbers from a fixed field ( 0 Dok.)
• 11J20 Inhomogeneous linear forms ( 0 Dok.)
• 11J25 Diophantine inequalities ( 0 Dok.)
• 11J54 Small fractional parts of polynomials and generalizations ( 0 Dok.)
• 11J61 Approximation in non-Archimedean valuations ( 0 Dok.)
• 11J68 Approximation to algebraic numbers ( 0 Dok.)
• 11J70 Continued fractions and generalizations ( 0 Dok.)
• 11J71 Distribution modulo one ( 0 Dok.)
• 11J72 Irrationality; linear independence over a field ( 0 Dok.)
• 11J81 Transcendence (general theory) ( 0 Dok.)
• 11J82 Measures of irrationality and of transcendence ( 0 Dok.)
• 11J83 Metric theory ( 0 Dok.)
• 11J85 Algebraic independence; Gelfond's method ( 0 Dok.)
• 11J86 Linear forms in logarithms; Baker's method ( 0 Dok.)
• 11J89 Transcendence theory of elliptic and abelian functions ( 0 Dok.)
• 11J91 Transcendence theory of other special functions ( 0 Dok.)
• 11J93 Transcendence theory of Drinfel'd and t-modules ( 0 Dok.)
• 11J95 Results involving abelian varieties ( 0 Dok.)
• 11J97 Analogues of methods in Nevanlinna theory (work of Vojta et al.) ( 0 Dok.)
• 11J99 None of the above, but in this section ( 0 Dok.)
• 11Jxx Diophantine approximation, transcendental number theory ( 0 Dok. )
• 11K06 General theory of distribution modulo 1 ( 0 Dok.)
• 11K16 Normal numbers, radix expansions, etc. ( 0 Dok.)
• 11K31 Special sequences ( 0 Dok.)
• 11K36 Well-distributed sequences and other variations ( 0 Dok.)
• 11K38 Irregularities of distribution, discrepancy ( 0 Dok.)
• 11K41 Continuous, p-adic and abstract analogues ( 0 Dok.)
• 11K45 Pseudo-random numbers; Monte Carlo methods ( 0 Dok.)
• 11K50 Metric theory of continued fractions ( 0 Dok.)
• 11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension ( 0 Dok.)
• 11K60 Diophantine approximation ( 0 Dok.)
• 11K65 Arithmetic functions ( 0 Dok.)
• 11K70 Harmonic analysis and almost periodicity ( 0 Dok.)
• 11K99 None of the above, but in this section ( 0 Dok.)
• 11Kxx Probabilistic theory: distribution modulo 1; metric theory of algorithms ( 0 Dok. )
• 11L03 Trigonometric and exponential sums, general ( 0 Dok.)
• 11L05 Gauss and Kloosterman sums; generalizations ( 0 Dok.)
• 11L07 Estimates on exponential sums ( 0 Dok.)
• 11L10 Jacobsthal and Brewer sums; other complete character sums ( 0 Dok.)
• 11L15 Weyl sums ( 0 Dok.)
• 11L20 Sums over primes ( 0 Dok.)
• 11L26 Sums over arbitrary intervals ( 0 Dok.)
• 11L40 Estimates on character sums ( 0 Dok.)
• 11L99 None of the above, but in this section ( 0 Dok.)
• 11Lxx Exponential sums and character sums ( 0 Dok. )
• 11M06 zeta (s) and L(s, chi) ( 0 Dok.)
• 11M20 Real zeros of L(s, chi); results on L(1, chi) ( 0 Dok.)
• 11M26 Nonreal zeros of zeta (s) and L(s, chi); Riemann and other hypotheses ( 0 Dok.)
• 11M35 Hurwitz and Lerch zeta functions ( 0 Dok.)
• 11M36 Selberg zeta functions and regularized determinants ( 0 Dok.)
• 11M38 Zeta and L-functions in characteristic p ( 0 Dok.)
• 11M41 Other Dirichlet series and zeta functions ( 0 Dok.)
• 11M45 Tauberian theorems ( 0 Dok.)
• 11M99 None of the above, but in this section ( 0 Dok.)
• 11Mxx Zeta and L-functions: analytic theory ( 0 Dok. )
• 11N05 Distribution of primes ( 0 Dok.)
• 11N13 Primes in progressions ( 0 Dok.)
• 11N25 Distribution of integers with specified multiplicative constraints ( 0 Dok.)
• 11N30 Turán theory ( 0 Dok.)
• 11N32 Primes represented by polynomials; other multiplicative structure of polynomial values ( 0 Dok.)
• 11N35 Sieves ( 0 Dok.)
• 11N36 Applications of sieve methods ( 0 Dok.)
• 11N37 Asymptotic results on arithmetic functions ( 0 Dok.)
• 11N45 Asymptotic results on counting functions for algebraic and topological structures ( 0 Dok.)
• 11N56 Rate of growth of arithmetic functions ( 0 Dok.)
• 11N60 Distribution functions associated with additive and positive multiplicative functions ( 0 Dok.)
• 11N64 Other results on the distribution of values or the characterization of arithmetic functions ( 0 Dok.)
• 11N69 Distribution of integers in special residue classes ( 0 Dok.)
• 11N75 Applications of automorphic functions and forms to multiplicative problems ( 0 Dok.)
• 11N80 Generalized primes and integers ( 0 Dok.)
• 11N99 None of the above, but in this section ( 0 Dok.)
• 11Nxx Multiplicative number theory ( 0 Dok. )
• 11P05 Waring's problem and variants ( 0 Dok.)
• 11P21 Lattice points in specified regions ( 0 Dok.)
• 11P32 Goldbach-type theorems; other additive questions involving primes ( 0 Dok.)
• 11P55 Applications of the Hardy-Littlewood method ( 0 Dok.)
• 11P70 Inverse problems of additive number theory ( 0 Dok.)
• 11P81 Elementary theory of partitions ( 0 Dok.)
• 11P82 Analytic theory of partitions ( 0 Dok.)
• 11P83 Partitions; congruences and congruential restrictions ( 0 Dok.)
• 11P99 None of the above, but in this section ( 0 Dok.)
• 11Pxx Additive number theory; partitions ( 0 Dok. )
• 11R04 Algebraic numbers; rings of algebraic integers ( 0 Dok.)
• 11R06 PV-numbers and generalizations; other special algebraic numbers ( 0 Dok.)
• 11R09 Polynomials (irreducibility, etc.) ( 0 Dok.)
• 11R11 Quadratic extensions ( 0 Dok.)
• 11R16 Cubic and quartic extensions ( 0 Dok.)
• 11R18 Cyclotomic extensions ( 0 Dok.)
• 11R20 Other abelian and metabelian extensions ( 0 Dok.)
• 11R21 Other number fields ( 0 Dok.)
• 11R23 Iwasawa theory ( 0 Dok.)
• 11R27 Units and factorization ( 0 Dok.)
• 11R29 Class numbers, class groups, discriminants ( 0 Dok.)
• 11R32 Galois theory ( 0 Dok.)
• 11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers ( 0 Dok.)
• 11R34 Galois cohomology ( 0 Dok.)
• 11R37 Class field theory ( 1 Dok.)
• 11R39 Langlands-Weil conjectures, nonabelian class field theory ( 0 Dok.)
• 11R42 Zeta functions and L-functions of number fields ( 0 Dok.)
• 11R44 Distribution of prime ideals ( 0 Dok.)
• 11R45 Density theorems ( 0 Dok.)
• 11R47 Other analytic theory ( 0 Dok.)
• 11R52 Quaternion and other division algebras: arithmetic, zeta functions ( 0 Dok.)
• 11R54 Other algebras and orders, and their zeta and L-functions ( 0 Dok.)
• 11R56 Adele rings and groups ( 0 Dok.)
• 11R58 Arithmetic theory of algebraic function fields ( 0 Dok.)
• 11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.) ( 0 Dok.)
• 11R65 Class groups and Picard groups of orders ( 0 Dok.)
• 11R70 K-theory of global fields ( 0 Dok.)
• 11R80 Totally real and totally positive fields ( 0 Dok.)
• 11R99 None of the above, but in this section ( 0 Dok.)
• 11Rxx Algebraic number theory: global fields ( 1 Dok. )
• 11S05 Polynomials ( 0 Dok.)
• 11S15 Ramification and extension theory ( 0 Dok.)
• 11S20 Galois theory ( 0 Dok.)
• 11S23 Integral representations ( 0 Dok.)
• 11S25 Galois cohomology ( 0 Dok.)
• 11S31 Class field theory; p-adic formal groups ( 0 Dok.)
• 11S37 Langlands-Weil conjectures, nonabelian class field theory ( 0 Dok.)
• 11S40 Zeta functions and L-functions ( 0 Dok.)
• 11S45 Algebras and orders, and their zeta functions ( 0 Dok.)
• 11S70 K-theory of local fields ( 0 Dok.)
• 11S80 Other analytic theory (analogues of beta and gamma functions, p-adic integration, etc.) ( 0 Dok.)
• 11S85 Other nonanalytic theory ( 0 Dok.)
• 11S90 Prehomogeneous vector spaces ( 0 Dok.)
• 11S99 None of the above, but in this section ( 0 Dok.)
• 11Sxx Algebraic number theory: local and p-adic fields ( 0 Dok. )
• 11T06 Polynomials ( 0 Dok.)
• 11T22 Cyclotomy ( 0 Dok.)
• 11T23 Exponential sums ( 0 Dok.)
• 11T24 Other character sums and Gauss sums ( 0 Dok.)
• 11T30 Structure theory ( 0 Dok.)
• 11T55 Arithmetic theory of polynomial rings over finite fields ( 0 Dok.)
• 11T60 Finite upper half-planes ( 0 Dok.)
• 11T71 Algebraic coding theory; cryptography ( 0 Dok.)
• 11T99 None of the above, but in this section ( 0 Dok.)
• 11Txx Finite fields and commutative rings (number-theoretic aspects) ( 0 Dok. )
• 11U05 Decidability ( 0 Dok.)
• 11U07 Ultraproducts ( 0 Dok.)
• 11U09 Model theory ( 0 Dok.)
• 11U10 Nonstandard arithmetic ( 0 Dok.)
• 11U99 None of the above, but in this section ( 0 Dok.)
• 11Uxx Connections with logic ( 0 Dok. )
• 11Y05 Factorization ( 0 Dok.)
• 11Y11 Primality ( 0 Dok.)
• 11Y16 Algorithms; complexity ( 0 Dok.)
• 11Y35 Analytic computations ( 0 Dok.)
• 11Y40 Algebraic number theory computations ( 0 Dok.)
• 11Y50 Computer solution of Diophantine equations ( 0 Dok.)
• 11Y55 Calculation of integer sequences ( 0 Dok.)
• 11Y60 Evaluation of constants ( 0 Dok.)
• 11Y65 Continued fraction calculations ( 0 Dok.)
• 11Y70 Values of arithmetic functions; tables ( 0 Dok.)
• 11Y99 None of the above, but in this section ( 0 Dok.)
• 11Yxx Computational number theory ( 0 Dok. )
• 11Z05 Miscellaneous applications of number theory ( 0 Dok.)

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Letzte Änderung: 14.07.10