The 4 papers accumulated during this publication speak about complicated leads to analytic quantity thought, together with contemporary achievements of sieve conception resulting in asymptotic formulae for the variety of primes represented through compatible polynomials; counting integer ideas 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 up to date survey of the axiomatic conception of L-functions brought via Selberg.

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