This quantity contains the complaints of the 1995 Cardiff symposium on sieve tools, exponential sums, and their purposes in quantity concept. integrated are contributions from many best foreign figures during this region which encompasses the most branches of analytic quantity idea. specifically, a few of the papers mirror the interplay among different fields of sieve thought, Dirichlet sequence (including the Riemann Zeta-function), and exponential sums, while exhibiting the delicate interaction among the additive and multiplicative elements of the topics. the basic difficulties mentioned contain fresh paintings on Waring's challenge, primes in arithmetical progressions, Goldbach numbers briefly durations, the ABC conjecture, and the moments of the Riemann Zeta-function.
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