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We formulate a general path integral approach which describes statistics ofcurrent fluctuations in mesoscopic coherent conductors at arbitrary frequenciesand in the presence of interactions. Applying this approach to thenon-interacting case, we analyze the frequency dispersion of the third cumulantof the current operator ${\cal S}_3$ at frequencies well below both the inversecharge relaxation time and the inverse electron dwell time. This dispersionturns out to be important in the frequency range comparable to appliedvoltages. For comparatively transparent conductors it may lead to the signchange of ${\cal S}_3$. We also analyze the behavior of the second cumulant ofthe current operator ${\cal S}_2$ (current noise) in the presence ofelectron-electron interactions. In a wide range of parameters we obtainexplicit universal dependencies of ${\cal S}_2$ on temperature, voltage andfrequency. We demonstrate that Coulomb interaction decreases the Nyquist noise.In this case the interaction correction to the noise spectrum is governed bythe combination $\sum_nT_n(T_n-1)$, where $T_n$ is the transmission of the$n$-th conducting mode. The effect of electron-electron interactions on theshot noise is more complicated. At sufficiently large voltages we recover twodifferent interaction corrections entering with opposite signs. The net resultis proportional to $\sum_nT_n(T_n-1)(1-2T_n)$, i.e. Coulomb interactiondecreases the shot noise at low transmissions and increases it at hightransmissions.Comment: 12 pages, 3 figures. To be published in the Proceedings of the SPIE  Symposium on Fluctuations and Noise, Maspalomas, Grand Canaria, Spain (May  2004

Statistics of current fluctuations and electron-electron interactions in mesoscopic coherent conductors