Preface.- Insufficiency of the Brauer-Manin obstruction for rational points on Enriques surfaces (Balestrieri et al).- Shadow lines in the arithmetic of elliptic curves (Balakrishnan et al).- Galois action on the homology of Fermat curves (Davis et al).- Zeta functions of a class of Artin-Schreier curves with many automorphisms over finite fields (Bouw et al).- Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions (Deines et al).- A generalization of S. Zhang's local Gross-Zagier formula for GL(2) (Maurischat).- p-adic q-expansion principles on unitary Shimura varieties (Caraiani et al).- Kneser-Hecke-operators for codes over finite chain rings (Feaver et al).- Ring-LWE cryptography for the number theorist (Elias et al).- Asymptotics for number fields and class groups (Wood).
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