3 papers
math.NT2025
Kitaoka's Conjecture for quadratic fields
Vitezslav Kala, Jakub Krásenský, Dayoon Park +2
We prove that there are at most 13 real quadratic fields that admit a ternary universal quadratic lattice, thus establishing a strong version of Kitaoka's Conjecture for quadratic…
math.NT2018
A new upper bound for numbers with the Lehmer property and its application to repunit numbers
Dominik Burek, Błażej Żmija
A composite positive integer has the Lehmer property if divides where is an Euler totient function. In this note we shall prove that if has the Lehmer pro…
math.NT2017
Recurrence sequences connected with the --ary partition function and their divisibility properties
Błażej Żmija
In this paper we introduce a class of sequences connected with the --ary partition function and investigate their congruence properties. In particular, we get facts about the se…