Записки научных семинаров Тульской школы теории чисел. Вып. 2. 2023 г.

TABLE OF CONTENTS Issue 2 B. P. Vankov. On computability of partially recursive functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 M. N. Dobrovol’skii, N. N. Dobrovol’skii, N. M. Dobrovol’skii. Zeta function of monoids of natural numbers and related issues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 N. N. Dobrovol’skii, V. I. Ivanov, L. A. Tolokonnikov. Number-theoretic methods in approximate analysis and their applications in mechanics and physics . . . . . . . . . . . . . . . . . . . 16 I. Yu. Rebrova, V. N. Chubarikov. Number geometry and Diophantine approximations in the number-theoretic method in approximate analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 РЕДКОЛЛЕГИЯ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 THE EDITORIAL BOARD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34