Local mean value estimates for Weyl sums
Journal article, 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
Author
Julia Brandes
Chalmers, Mathematical Sciences, Algebra and geometry
University of Gothenburg
Changhao Chen
Anhui University
Igor E. Shparlinski
University of New South Wales (UNSW)
Revista Matematica Iberoamericana
0213-2230 (ISSN) 22350616 (eISSN)
Vol. 40 6 2095-2134Higher-dimensional structures on hypersurfaces
Swedish Research Council (VR) (2017-05110), 2018-01-01 -- 2021-12-01.
Subject Categories (SSIF 2011)
Mathematics
DOI
10.4171/RMI/1495