3 papers
math.NT2026
Quadratic residue patterns of length 4 and 5
Abdulkadyr Buchaev, Michael Tsfasman
We generalize the results of the first part of the paper by Kiritchenko, Tsfasman, Vlăduţ and Zakharevich on quadratic residue patterns to the case of arbitrary words over the alph…
math.GR2025
Rings of invariants of three-dimensional upper-triangular representations of finite groups
Abdulkadyr Buchaev
The work proves that, for finite three-dimensional upper triangular groups over a field of odd characteristic generated by pseudoreflections, maximal unipotent subgroup of which is…
math.CO2021
Simple proofs of estimations of Ramsey numbers and of discrepancy
A. Buchaev, A. Skopenkov
In this expository note we present simple proofs of the lower bound of Ramsey numbers (Erdös theorem), and of the estimation of discrepancy. Neither statements nor proofs require a…