3 papers
math.NT2026
Pseudo-Effectivity in the Skolem-Mahler-Lech Theorem
Victor Shirandami
The Skolem--Mahler--Lech Theorem asserts that a non-degenerate linear recurrence sequence (LRS) has only finitely many zeros, but is ineffective in the sense that no general proced…
math.NT2024
Probabilistic Effectivity in the Subspace Theorem
Faustin Adiceam, Victor Shirandami
The Subspace Theorem due to Schmidt (1972) is a broad generalisation of Roth's Theorem in Diophantine Approximation (1955) which, in the same way as the latter, suffers a notorious…
math.PR2024
Randomisation in the Josephus Problem
Faustin Adiceam, Steven Robertson, Victor Shirandami +1
The Josephus problem is a well--studied elimination problem consisting in determining the position of the survivor after repeated applications of a deterministic rule removing one…