Geodesic

Analytical theory of numbers and theory of functions. Part 18

Sommaire

Deformations of Diophantine systems for quadratic forms of the cubic lattices
p. 5-35
On the Pellian equation
p. 36-39
On the class numbers of indefinite binary quadratic forms with discriminant~$dp^2$
p. 40-47
Regions of values of the systems $\{f(z_1),f(z_2),f'(z_2)\}$ and $\{f(z_1),f'(z_1),f''(z_1)\}$ on the class of typically real functions
p. 48-61
Criteria of the removable sets for the weighted spaces of garmonic functions
p. 62-73
On the Shwarz inequality on the boundary for functions regular in the disk
p. 74-84
Application of conformal mappings to the inequalities for polynomials
p. 85-102
On the problem on maximizing the product of powers of conformal radii of nonverlapping domians
p. 103-114
Extremal decompositions of a Riemann surface and quasiconformal mappings of a special form.~II
p. 115-125
Problems on extremal decomposition of the Riemann sphere.~II
p. 126-147
The cubic simplectic theta function
p. 148-158
Real quadratic fields and Ankeny--Artin--Chowla conjecture
p. 159-168
On Epstein's zeta-function
p. 169-178
Class numbers of indefinite binary quadratic forms and the residual indices of integers modulo~$p$
p. 179-199
The symmetric squares of Hecke $L$-funktions and Fourier coefficients of cusp forms
p. 200-214
Growth of the 1-periodic graphs
p. 215-226