Contents

Doklady Mathematics


Vol. 106, No. 2, 2022


Mathematics

Estimates of Linear Forms and Polynomials in Polyadic Numbers

V. G. Chirskii p. S131  abstract

Polyadic Estimates for F-Series

V. G. Chirskii p. S134  abstract

Polyadic Liouville Numbers

V. G. Chirskii p. S137  abstract

Arithmetic Properties of Polyadic Integers

V. G. Chirskii p. S142  abstract

On Transformations of Periodic Sequences

V. G. Chirskii p. S147  abstract

Arithmetic Properties of Values at Polyadic Liouville Points of Euler-Type Series with Polyadic Liouville Parameter

V. G. Chirskii p. S150  abstract

Infinite Linear Independence with Constraints on a Subset of Prime Numbers for Values of Euler-Type Series with Polyadic Liouville Parameter

V. G. Chirskii p. S154  abstract

On Polyadic Liouville Numbers

V. G. Chirskii p. S161  abstract

About Minimal Polynomial of Residual Fractions for Algebraic Irrationalities

N. M. Dobrovol’skii and N. N. Dobrovol’skii p. S165  abstract

Inverse Problem for a Monoid with an Exponential Sequence of Primes

N. N. Dobrovol’skii, I. Yu. Rebrova and N. M. Dobrovol’skii p. S181  abstract

A Model Zeta Function of the Monoid of Natural Numbers

N. N. Dobrovol’skii p. S192  abstract

Badly Approximable Matrices and Diophantine Exponents

O. N. German p. S201  abstract

Estimation of Weighted Kloosterman Sums with the Help of Additive Shift

M. A. Korolev p. S221  abstract

Methods of Estimating Short Kloosterman Sums

M. A. Korolev p. S230  abstract

Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices

Academician of the RAS Yu. V. Matiyasevich p. S250  abstract

The Riemann Hypothesis As the Parity of Special Binomial Coefficients

Academician of the RAS Yu. V. Matiyasevich p. S256  abstract

Periodicity Criterion for Continued Fractions of Key Elements in Hyperelliptic Fields

Academician of the RAS V. P. Platonov and G. V. Fedorov p. S262  abstract

Productive Education in Mathematical Schools

N. N. Konstantinov and A. L. Semenov p. S270  abstract

The Lattice of Definability: Origins, Recent Developments, and Further Directions

A. L. Semenov and S. F. Soprunov p. S288  abstract