Volume 171, Issue 6

This issue is a translation of Zapiski Nauchnykh Seminarov Sankt-Peterburgskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Rossiiskoi Akademii Nauk (Notes of Scientific Seminars of the St. Petersburg Department of the Steklov Mathematical Institute, Russian Academy of Sciences), Vol. 377, 2010. This issue is entitled Problems in the Investigations in Number Theory, Part 10, and was edited by A. Maclntyre, Yu. I. Manin, Yu. V. Matiyasevich, B. Z. Moroz, and D. R. Heath-Brown