Saša Novaković

activity

20152026

most citedNon-existence of exceptional collections on twisted flags and categorical representability via noncommutative motives

8 citations · 15 across the 9 of their papers we have counts for

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math.NT2026

A comment on the number of $k$ -th powers inside arithmetic progressions

Saša Novaković

In \cite{BD} Bourgain and Demeter found sharp upper bounds for the number of $k$ -th powers inside arbitrary arithmetic progressions whose step has $O (1)$ many divisors. We make the…

math.NT2024

Some Diophantine equations involving arithmetic functions and Bhargava factorials

Daniel M. Baczkowski, Saša Novaković

F. Luca proved for any fixed rational number $α > 0$ that the Diophantine equations of the form $α m! = f (n!)$ , where $f$ is either the Euler function or the divisor sum function or t…

math.NT2023

A note on some polynomial-factorial diophantine equations

Saša Novaković

In 1876 Brocard, and independently in 1913 Ramanujan, asked to find all integer solutions for the equation $n! = x^{2} - 1$ . It is conjectured that this equation has only three solutions…

A comment on the number of k-th powers inside arithmetic progressions

Some Diophantine equations involving arithmetic functions and Bhargava factorials

A note on some polynomial-factorial diophantine equations

A comment on the number of $k$ -th powers inside arithmetic progressions