The 4 papers gathered during this booklet talk about complex leads to analytic quantity conception, together with contemporary achievements of sieve concept resulting in asymptotic formulae for the variety of primes represented through appropriate polynomials; counting integer options to Diophantine equations, utilizing effects from algebraic geometry and the geometry of numbers; the speculation of Siegel’s zeros and of outstanding characters of L-functions; and an up to date survey of the axiomatic thought of L-functions brought by way of Selberg.
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Extra info for Analytic Number Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002 (Lecture Notes in Mathematics)