Zentralblatt MATH

8 Number theory11-XX Number theory11-00 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 leastone classification number from Section01)11-04 Explicit machine computation and programs(not the theory of computation orprogramming)11-06 Proceedings, conferences, collections,etc.11Axx Elementary number theory (For analoguesin number fields, see 11R04)11A05 Multiplicative structure; Euclidean algorithm;greatest common divisors11A07 Congruences; primitive roots; residuesystems11A15 Power residues, reciprocity11A25 Arithmetic functions; related numbers;inversion formulas11A41 Primes11A51 Factorization; primality11A55 Continued fractions (For approximationresults, see 11J70) [See also 11K50, 30B70,40A15]11A63 Radix representation; digital problems(For metric results, see 11K16)11A67 Other representations11A99 None of the above, but in this section11Bxx Sequences and sets11B05 Density, gaps, topology11B13 Additive bases, including sumsets[See also 05B10]11B25 Arithmetic progressions[See also 11N13]11B30 Arithmetic combinatorics; higher degreeuniformity11B34 Representation functions11B37 Recurrences (For applications to specialfunctions, see 33-XX)11B39 Fibonacci and Lucas numbers and polynomialsand generalizations11B50 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 polynomials11B73 Bell and Stirling numbers11B75 Other combinatorial number theory11B83 Special sequences and polynomials11B85 Automata sequences11B99 None of the above, but in this section11Cxx Polynomials and matrices11C08 Polynomials [See also 13F20]11C20 Matrices, determinants [See also 15B36]11C99 None of the above, but in this section11Dxx Diophantine equations[See also 11Gxx, 14Gxx]11D04 Linear equations11D07 The Frobenius problem11D09 Quadratic and bilinear equations11D25 Cubic and quartic equations11D41 Higher degree equations;Fermat’s equation11D45 Counting solutions of Diophantineequations11D57 Multiplicative and norm form equations11D59 Thue-Mahler equations11D61 Exponential equations11D68 Rational numbers as sums of fractions11D72 Equations in many variables[See also 11P55]11D75 Diophantine inequalities [See also 11J25]11D79 Congruences in many variables11D85 Representation problems[See also 11P55]11D88 p-adic and power series fields11D99 None of the above, but in this section11Exx11E0411E0811E1011E12Forms and linear algebraic groups [Seealso 19Gxx] (For quadratic forms in linearalgebra, see 15A63)Quadratic forms over general fieldsQuadratic forms over local rings andfieldsForms over real fieldsQuadratic forms over global rings andfields