Abstract
The creation of an electron-positron pair by a photon and the bremsstrahlung of an electron in a medium are considered in the high-energy region, where the influence of multiple scattering on the processes [the Landau-Pomeranchuk-Migdal (LPM) effect] becomes essential. The pair photoproduction probability is calculated with an accuracy up to the ``next to leading logarithm.'' The integral characteristics, the radiation length and the total probability of pair photoproduction are analyzed under the influence of the LPM effect, and the asymptotic expansions of these characteristics are derived.
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