Analytic Number Theory: Lectures given at the C.I.M.E. by J. B. Friedlander,D.R. Heath-Brown,H. Iwaniec,J.

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

The 4 papers gathered during this e-book speak about complex ends up in analytic quantity idea, together with fresh achievements of sieve idea resulting in asymptotic formulae for the variety of primes represented by way of appropriate polynomials; counting integer suggestions 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 concept of L-functions brought by way of Selberg.

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