Number Theory

Some conjectured relationships between theta functions and eisenstein series on the metaplectic group.- Computational problems in arithmetic of linear differential equations. Some diophantine applications.- Iteration of two-valued modular equations.- Report on transcendency in the theory of function fields.- Exponential sums and faster than Nyquist signaling.- Some new applications of the large sieve.- Elliptic fiberings of Kummer surfaces.- Recent developments in the theory of rational period functions.- Additive problems in combinatorial number theory.- Growth of order of homology of cyclic branched covers of knots.- Hybrid problems in number theory.- Binomial coefficients not divisible by a prime.- Positive characteristic calculus and icebergs.- Arithmetic of certain algebraic surfaces over finite fields.