3 papers
math.GR2026
Determining the group that sends each Legendre pair to an equivalent Legendre pair
Dursun Bulutoglu, Daniel Baczkowski, Joshua Yauney
In this paper we determine the structure of the group of all operations that send each Legendre pair to an equivalent Legendre pair.
math.NT2024
Some Diophantine equations involving arithmetic functions and Bhargava factorials
Daniel M. Baczkowski, Saša Novaković
F. Luca proved for any fixed rational number that the Diophantine equations of the form , where is either the Euler function or the divisor sum function or t…
math.CO2023
Decimation classes of nonnegative integer vectors using multisets
Daniel M. Baczkowski, Dursun A. Bulutoglu
We describe how previously known methods for determining the number of decimation classes of density binary vectors can be extended to nonnegative integer vectors, where the ve…