Local mean value estimates for Weyl sums
Artikel i vetenskaplig tidskrift, 2024
We obtain new estimates - both upper and lower bounds - on the mean values of the Weyl sums over a small box inside of the unit torus. In particular, we refine recent conjectures of C. Demeter and B. Langowski (2022), and improve some of their results.
small box
Weyl sum
mean value theorem
Författare
Julia Brandes
Chalmers, Matematiska vetenskaper, Algebra och geometri
Göteborgs universitet
Changhao Chen
Anhui University
Igor E. Shparlinski
University of New South Wales (UNSW)
Revista Matematica Iberoamericana
0213-2230 (ISSN) 22350616 (eISSN)
Vol. 40 6 2095-2134Högre-dimensionella strukturer på hyperytor
Vetenskapsrådet (VR) (2017-05110), 2018-01-01 -- 2021-12-01.
Ämneskategorier (SSIF 2011)
Matematik
DOI
10.4171/RMI/1495