2 papers
math.DS2023
An effective version of the Oppenheim conjecture with a polynomial error rate
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang +1
We prove an effective version of the Oppenheim conjecture with a polynomial error rate. The proof is based on an effective equidistribution theorem which in turn relies on recent p…
math.NT2023
Quantitative equidistribution and the local statistics of the spectrum of a flat torus
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang
We show that pair correlation function for the spectrum of a flat 2-dimensional torus satisfying an explicit Diophantine condition agrees with those of a Poisson process with a pol…