By J. B. Friedlander,D.R. Heath-Brown,H. Iwaniec,J. Kaczorowski,A. Perelli,C. Viola

The 4 papers gathered during this booklet talk about complex leads to analytic quantity idea, together with fresh achievements of sieve conception resulting in asymptotic formulae for the variety of primes represented through compatible polynomials; counting integer recommendations 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 updated survey of the axiomatic concept of L-functions brought by means of Selberg.

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