An official website of the United States government
The goal of this expository paper is to provide an introduction to decoupling by working in the simpler setting of decoupling for the parabola over ℚp. Over ℚp, commonly used heuristics in decoupling are significantly easier to make rigorous over ℚp than over ℝ and such decoupling theorems over ℚp are still strong enough to derive interesting number theoretic conclusions.
more »
« less
Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher.
Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?
Some links on this page may take you to non-federal websites. Their policies may differ from this site.
-
-
The goal of this expository paper is to provide an introduction to decoupling by working in the simpler setting of decoupling for the parabola over Q_p. Over Q_p, commonly used heuristics in decoupling are significantly easier to make rigorous over Q_p than over R and such decoupling theorems over Q_p are still strong enough to derive interesting number theoretic conclusions.more » « less
-
We interpret into decoupling language a refinement of a 1973 argument due to Karatsuba on Vinogradov's mean value theorem. The main goal of our argument is to answer what precisely solution counting in older partial progress on Vinogradov's mean value theorem corresponds to in Fourier decoupling theory.more » « less
Full Text Available