The 4 papers gathered during this publication talk about complex leads to analytic quantity thought, together with contemporary achievements of sieve idea resulting in asymptotic formulae for the variety of primes represented through appropriate polynomials; counting integer recommendations to Diophantine equations, utilizing effects from algebraic geometry and the geometry of numbers; the idea of Siegel’s zeros and of remarkable characters of L-functions; and an updated survey of the axiomatic conception of L-functions brought through Selberg.

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