Zentralblatt MATH

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