On discrete part of Dirichlet spectrum

2025/02/11 by Pitcyn, Sergei
#11J04 #11J06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2502.07659

Abstract

Recently J.Hančl obtained a result which improves on approximations to real numbers which correspond to the discrete part of Lagrange spectrum. In the present paper we prove a similar result related to the discrete part of Dirichlet spectrum.

Related

• Note on the Dirichlet Approximation Theorem
• Discrete part of the second Lagrange spectrum
• A note on Dirichlet spectrum
• A discrete approach to Dirichlet L-functions, their special values and zeros
• Approximation of the Lagrange and Markov spectra