11S40 Zeta functions and $L$-functions [See also <a href="#code:11M41">11M41</a>, <a href="#code:19F27">19F27</a>]

11S45 Algebras and orders, and their zeta functions [See also <a href="#code:11R52">11R52</a>, <a href="#code:11R54">11R54</a>, <a href="#code:16Hxx">16Hxx</a>, <a href="#code:16Kxx">16Kxx</a>]

11S70 $K$-theory of local fields [See also <a href="#code:19Fxx">19Fxx</a>]

11S80 Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.)

11S82 Non-Archimedean dynamical systems [See mainly <a href="#code:37Pxx">37Pxx</a>]

11S99 None of the above, but in this section

11Txx Finite fields and commutative rings (number-theoretic aspects)

11T24 Other character sums and Gauss sums

11T55 Arithmetic theory of polynomial rings over finite fields

11T71 Algebraic coding theory; cryptography

11T99 None of the above, but in this section

11U05 Decidability [See also <a href="#code:03B25">03B25</a>]

11U07 Ultraproducts [See also <a href="#code:03C20">03C20</a>]

11U09 Model theory [See also <a href="#code:03Cxx">03Cxx</a>]

11U10 Nonstandard arithmetic [See also <a href="#code:03H15">03H15</a>]

11U99 None of the above, but in this section

11Yxx Computational number theory [See also 11-04]

11Y16 Algorithms; complexity [See also <a href="#code:68Q25">68Q25</a>]

11Y40 Algebraic number theory computations

11Y50 Computer solution of Diophantine equations

11Y70 Values of arithmetic functions; tables

11Y99 None of the above, but in this section

11Zxx Miscellaneous applications of number theory

11Z05 Miscellaneous applications of number theory

11Z99 None of the above, but in this section

12-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

12-01 Instructional exposition (textbooks, tutorial papers, etc.)

12-02 Research exposition (monographs, survey articles)

12-03 Historical (must also be assigned at least one classification number from Section 01)

12-04 Explicit machine computation and programs (not the theory of computation or programming)

12-06 Proceedings, conferences, collections, etc.