$K3$ surfaces and Enriques surfaces Algebraic geometry Algebraic number theory: global fields Algorithms; complexity Arithmetic algebraic geometry (Diophantine geometry) Arithmetical algebraic geometry Asymptotic results on arithmetic functions Communication, information Computational number theory Courbes elliptiques Cryptography Curves, Elliptic Elliptic curves over global fields Finite fields and commutative rings (number-theoretic aspects) Generalized hypergeometric series Géométrie algébrique arithmétique Hypergeometric functions Information and communication, circuits Multiplicative number theory Number theory Other character sums and Gauss sums PV-numbers and generalizations; other special algebraic numbers; Mahler measure Quadratic extensions Special functions (33-XX deals with the properties of functions as functions) Surfaces and higher-dimensional varieties Théorie des nombres functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture