1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NT2023★ 1 cited
A minimalist version of the circle method and Diophantine problems over thin sets
Kirsti D. Biggs, Julia Brandes
This paper studies the minimal conditions under which we can establish asymptotic formulae for Waring's problem and other additive problems that may be tackled by the circle method…
math.NT2023
Local mean value estimates for Weyl sums
Julia Brandes, Changhao Chen, Igor E. Shparlinski
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 o…
math.NT2014
Integer points on homogeneous varieties with two or more degrees
Julia Brandes
We give a revised version of Schmidt's treatment of forms in many variables, which allows us to prove a Hasse principle under more lenient conditions on the number of variables tha…