Analytic Number Theory -

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Sommaire:
of Volume 1.- Weighted partition identities and applications.- Rogers-Ramanujan polynomials for modulus 6.- On subset-sum-distinct sequences.- The Brun-Titchmarsh Theorem on average.- Congruences for Fourier coefficients of half-integral weight modular forms and special values of L-functions.- The asymptotic formula for the number of representations of an integer as a sum of five squares.- Distribution of the error term for the number of lattice points inside a shifted ball.- A probabilistic generalization of the Riemann zeta function.- A general Heine transformation and symmetric polynomials of Rogers.- A sieve auxiliary function.- Bounds on complete exponential sums.- A note on the fourth power moment of the Riemann zeta-function.- Effective estimates of exponential sums over primes.- On products of multiplicative functions of absolute value at most 1 which are composed with linear functions.- Combinatorial sieves of dimension exceeding one II.- Congruences for partition functions.- Fractional power large sieves.- Some problems I presented or planned to present in my short talk.- On the number of divisors of n!.- Generalized Lambert series.- A generalization of an irreducibility theorem of I. Schur.- Bombieri's sieve.- Bh sequences.