Number theory Arithmetical algebraic geometry Curves, Elliptic $K3$ surfaces and Enriques surfaces Algebraic geometry Algebraic number theory: global fields Algorithms; complexity Arithmetic algebraic geometry (Diophantine geometry) Asymptotic results on arithmetic functions Communication, information Computational number theory Cryptography Elliptic curves over global fields Finite fields and commutative rings (number-theoretic aspects) Hypergeometric functions Information and communication, circuits Multiplicative 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 $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture -functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture Algebraic geometry -- Surfaces and higher-dimensional varieties -- $K3$ surfaces and Enriques surfaces Courbes elliptiques Generalized hypergeometric series Generalized hypergeometric series, $ Géométrie algébrique arithmétique Information and communication, circuits -- Communication, information -- Cryptography