Computer assisted number theory with applications.- Successive diagonal projections of Hilbert modular functions.- Problems and results on minimal bases in additive number theory.- On the number of false witnesses for a composite number.- Arithmetic theory of Siegel modular forms.- What is the structure of K if K+K is small?.- The geometry of Markoff forms.- On the maximum of an exponential sum of the Möbius function.- Galois coverings of the arithmetic line.- Notes on elliptic K3 surfaces.- Splitting fields of principal homogeneous spaces.- Mechanics on a surface of constant negative curvature.- The depth of rings of invariants over finite fields.- On the congruence of modular forms.- Methods of factoring large integers.- Divisors of the Siegel modular variety.

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