Dear colleagues,
we cordially invite you to attend
the KSE Mathematics Seminar on the topic

“Hadamard quotient theorem for generalised polynomials”
Speaker: Jakub Konieczny — Simons Professor of Mathematics at KSE.

🗓When: October 22, 16:30
📍Where: KSE, Room 4.05

Abstract:
It is clearly true that the product of two integer-valued linear recurrence sequences is again an integer-valued linear recurrence sequence. The Hadamard quotient theorem gives a partial converse to this statement: If the quotient of two integer-valued linear recurrence sequences is again integer-valued then it is a linear recurrence sequence. The subject of the talk is an analogous result for generalised polynomials, i.e., sequences obtained from polynomials with the use of the integer part function, addition and multiplication. The talk is based on an upcoming paper with J. Byszewski.

About the speaker:
Jakub Konieczny specializes in combinatorial number theory, particularly in applications of ergodic theory. Jakub earned his PhD from the University of Oxford in 2017. Following his doctoral studies, he held postdoctoral positions at the Hebrew University of Jerusalem (2017–2020) and the University of Lyon (2020–2023). Jakub was a Senior Research Associate at the University of Oxford and, since September 2025, has been a Professor at the Kyiv School of Economics.