3 papers
math.NT2026
Rational Points and Brownian Motion
Faustin Adiceam, Volodymyr Pavlenkov, Evgeniy Zorin
Given a real-valued function , let be the number of rational points with denominators at most in the -tubular neighbourhood of the graph of…
math.NT2025
On the -adic Littlewood Conjecture in Characteristics
Faustin Adiceam, Dzmitry Badziahin
Given a prime , the -adic Littlewood Conjecture stands as a well-known arithmetic variant of the celebrated Littlewood Conjecture in Diophantine Approximation. In the same wa…
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…