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4 papers · 1 filter
Non annulation des fonctions L automorphes au point central
Djamel Rouymi
The question about modular forms have recently received a lot of attention; concerning the non-vanishing of automorphic L-functions Michel, Kowalski and Vanderkam proved (among oth…
Notes de lecture de l'article "Partial sums of the Möbius function" de Kannan Soundararajan
Michel Balazard, Anne De Roton
Kannan Soundararajan recently obtained a new estimate, conditional to the Riemann hypothesis, for the summatory function of the Mobius function. In this expository article we descr…
Special values of symmetric power -functions and Hecke eigenvalues
Emmanuel Royer, Jie Wu
We compute the moments of L-functions of symmetric powers of modular forms at the edge of the critical strip, twisted by the central value of the L-functions of modular forms. We s…
The distribution of integers with at least two divisors in a short interval
Kevin Ford, Gerald Tenenbaum
Let H(x,y,z) be the number of integers with a divisor in (y,z] and let H_1(x,y,z) be the number of integers with exactly one such divisor. When y and z are close, i…