This is the third Lecture Notes volume to be produced in the framework of the New York Number Theory Seminar. The papers contained here are mainly research papers. N
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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.
