180 citations · 274 across the 40 of their papers we have counts for
51 papers
Karatsuba's divisor problem and related questions
Mikhail R. Gabdullin, Vitalii V. Iudelevich, Sergei V. Konyagin
We prove that where $τ(n)=\s…
Large gaps between sums of two squareful numbers
Alexander Kalmynin, Sergei Konyagin
Let be the length of the largest subinterval of which does not contain any sums of two squareful numbers. We prove a lower bound \[ M(x)\gg \frac{\ln x}{(\ln\ln x)^2…
A polynomial analogue of Jacobsthal function
Alexander Kalmynin, Sergei Konyagin
For a polynomial we study an analogue of Jacobsthal function, defined by the formula \[ j_f(N)=\max_{m}\{\text{For some } x\in \mathbb N \text{ the inequalit…
Distinct Angles in General Position
Henry L. Fleischmann, Sergei V. Konyagin, Steven J. Miller +3
The Erdős distinct distance problem is a ubiquitous problem in discrete geometry. Somewhat less well known is Erdős' distinct angle problem, the problem of finding the minimum numb…
A problem in comparative order theory
Sergei Konyagin, Paul Pollack
Write for the multiplicative order in . Recently, Matthew Just and the second author investigated the problem of classifying pairs $α…
Sampling discretization of the uniform norm
Boris Kashin, Sergei Konyagin, Vladimir Temlyakov
Discretization of the uniform norm of functions from a given finite dimensional subspace of continuous functions is studied. We pay special attention to the case of trigonometric p…