10 Number theory11G15 Complex multiplication and moduli ofabelian varieties [See also 14K22]11G16 Elliptic and modular units[See also 11R27]11G18 Arithmetic aspects of modular andShimura 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 1over global fields [See also 14H25]11G32 Dessins d’enfants, Belyĭ theory11G35 Varieties over global fields[See also 14G25]11G40 L-functions of varieties over globalfields; Birch-Swinnerton-Dyer conjecture[See also 14G10]11G42 Arithmetic mirror symmetry[See also 14J33]11G45 Geometric class field theory[See also 11R37, 14C35, 19F05]11G50 Heights [See also 14G40, 37P30]11G55 Polylogarithms and relations withK-theory11G99 None of the above, but in this section11Hxx Geometry of numbers (For applicationsin coding theory, see 94B75)11H06 Lattices and convex bodies[See also 11P21, 52C05, 52C07]11H16 Nonconvex bodies11H31 Lattice packing and covering [See also05B40, 52C15, 52C17]11H46 Products of linear forms11H50 Minima of forms11H55 Quadratic forms (reduction theory, extremeforms, etc.)11H56 Automorphism groups of lattices11H60 Mean value and transfer theorems11H71 Relations with coding theory11H99 None of the above, but in this section11Jxx11J0411J06Diophantine approximation, transcendentalnumber theory [See also 11K60]Homogeneous approximation to onenumberMarkov and Lagrange spectra and generalizations11J13 Simultaneous homogeneous approximation,linear forms11J17 Approximation by numbers from a fixedfield11J20 Inhomogeneous linear forms11J25 Diophantine inequalities[See also 11D75]11J54 Small fractional parts of polynomialsand generalizations11J61 Approximation in non-Archimedeanvaluations11J68 Approximation to algebraic numbers11J70 Continued fractions and generalizations[See also 11A55, 11K50]11J71 Distribution modulo one[See also 11K06]11J72 Irrationality; linear independence over afield11J81 Transcendence (general theory)11J82 Measures of irrationality and of transcendence11J83 Metric theory11J85 Algebraic independence;Gel’fond’s method11J86 Linear forms in logarithms;Baker’s method11J87 Schmidt Subspace Theorem and applications11J89 Transcendence theory of elliptic andabelian functions11J91 Transcendence theory of other specialfunctions11J93 Transcendence theory of Drinfel’d andt-modules11J95 Results involving abelian varieties11J97 Analogues of methods in Nevanlinnatheory (work of Vojta et al.)11J99 None of the above, but in this section11Kxx Probabilistic theory: distribution modulo1; metric theory of algorithms11K06 General theory of distribution modulo 1[See also 11J71]11K16 Normal numbers, radix expansions,Pisot numbers, Salem numbers, goodlattice points, etc. [See also 11A63]11K31 Special sequences11K36 Well-distributed sequences and othervariations11K38 Irregularities of distribution, discrepancy[See also 11Nxx]
Number theory 1111K41 Continuous, p-adic and abstract analogues11K45 Pseudo-random numbers; Monte Carlomethods11K50 Metric theory of continued fractions[See also 11A55, 11J70]11K55 Metric theory of other algorithms andexpansions; 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 periodicity11K99 None of the above, but in this section11Lxx Exponential sums and character sums(For finite fields, see 11Txx)11L03 Trigonometric and exponential sums,general11L05 Gauss and Kloosterman sums; generalizations11L07 Estimates on exponential sums11L10 Jacobsthal and Brewer sums; other completecharacter sums11L15 Weyl sums11L20 Sums over primes11L26 Sums over arbitrary intervals11L40 Estimates on character sums11L99 None of the above, but in this section11Mxx Zeta and L-functions: analytic theory11M06 ζ(s) and L(s, χ)11M20 Real zeros of L(s, χ); results on L(1, χ)11M26 Nonreal zeros of ζ(s) and L(s, χ);Riemann and other hypotheses11M32 Multiple Dirichlet series and zeta functionsand multizeta values11M35 Hurwitz and Lerch zeta functions11M36 Selberg zeta functions and regularizeddeterminants; applications to spectraltheory, Dirichlet series, Eisenstein series,etc. Explicit formulas11M38 Zeta and L-functions in characteristic p11M41 Other Dirichlet series and zeta functions(For local and global ground fields, see11R42, 11R52, 11S40, 11S45; for algebrogeometricmethods, see 14G10; see also11E45, 11F66, 11F70, 11F72)11M45 Tauberian theorems [See also 40E05]11M50 Relations with random matrices11M55 Relations with noncommutative geometry11M99 None of the above, but in this section11Nxx Multiplicative number theory11N05 Distribution of primes11N13 Primes in progressions [See also 11B25]11N25 Distribution of integers with specifiedmultiplicative constraints11N30 Turán theory [See also 30Bxx]11N32 Primes represented by polynomials;other multiplicative structure of polynomialvalues11N35 Sieves11N36 Applications of sieve methods11N37 Asymptotic results on arithmetic functions11N45 Asymptotic results on counting functionsfor algebraic and topological structures11N56 Rate of growth of arithmetic functions11N60 Distribution functions associated withadditive and positive multiplicativefunctions11N64 Other results on the distribution of valuesor the characterization of arithmeticfunctions11N69 Distribution of integers in specialresidue classes11N75 Applications of automorphic functionsand forms to multiplicative problems[See also 11Fxx]11N80 Generalized primes and integers11N99 None of the above, but in this section11Pxx Additive number theory; partitions11P05 Waring’s problem and variants11P21 Lattice points in specified regions11P32 Goldbach-type theorems; other additivequestions involving primes11P55 Applications of the Hardy-Littlewoodmethod [See also 11D85]11P70 Inverse problems of additive numbertheory, including sumsets11P81 Elementary theory of partitions [See also05A17]11P82 Analytic theory of partitions
- Page 1 and 2: ZentralblattMATHMathematics Subject
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- Page 22 and 23: 18 Algebraic geometry14H40 Jacobian
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- Page 26 and 27: 22 Associative rings and algebras16
- Page 28 and 29: 24 Category theory; homological alg
- Page 30 and 31: 26 K-theory19-XX K-theory [See also
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64 Operator theory47A60 Functional
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66 Calculus of variations and optim
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68 Geometry49Rxx Variational method
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70 Convex and discrete geometry51Px
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72 General topology53C21 Methods of
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74 Algebraic topology54E2054E2554E3
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76 Manifolds and cell complexes55R5
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78 Global analysis, analysis on man
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80 Global analysis, analysis on man
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82 Probability theory and stochasti
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84 Statistics62H12 Estimation62H15
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86 Numerical analysis65F5065F6065F9
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88 Computer science68-04 Explicit m
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90 Mechanics of particles and syste
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92 Mechanics of deformable solids74
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94 Fluid mechanics76-04 Explicit ma
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96 Optics, electromagnetic theory76
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98 Quantum theory81P40 Quantum cohe
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100 Relativity and gravitational th
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102 Operations research, mathematic
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104 Game theory, economics, social
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106 Systems theory; control92Fxx92F
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108 Mathematics education94B7594B99
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110 Mathematics education97P4097P50