Note on a result of Shparlinski and related results
Volume 193 / 2020
Acta Arithmetica 193 (2020), 157-163 MSC: Primary 11B30, 11L03; Secondary 11B75. DOI: 10.4064/aa181018-8-4 Published online: 16 January 2020
Using graph spectra, we give a new proof of a statement of Shparlinski which was the main tool in the estimation of the energy of a distance set and we derive some consequence of it. Assuming some additional condition, we give a new estimation on the energy of the distance set.