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math.NT2026
On a question of Gowers related to Littlewood's conjecture
Frederik Broucke, Máté Matolcsi, Szilárd Gy. Révész
In a blogpost in 2009, Gowers raised a possible approach to Littlewood's conjecture in Diophantine approximation, leading to a question about the existence of sufficiently many poi…
math.CA2026
Conjectures of Bernstein and Erd\H os for weighted Lagrange interpolation on the halfline with exponential weights
Szilárd Gy. Révész, Patricia Szokol
Let I=[a,b] and consider the degree n Lagrange interpolation at the nodes x, where x\in S:={x=(x_0,x_1,...,x_n):a=x_0<x_1<...<x_n=b}. Then the norm of the Lagrange interpolation op…