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Applications of the Hardy-Littlewood method to polynomial congruences and Diophantine inequalities

open access: yes
Doctor of PhilosophyDepartment of MathematicsCraig SpencerThis manuscript revolves around two peer-reviewed results. First, we prove that for any positive integers $k$, $q$, $n$ with $n>N(k)$, integer $c$, and polynomials $f_i(x)$ of degree $k$ whose ...
Kydoniatis, Konstantinos
core  

A surprising formula for Sobolev norms. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Brezis H, Van Schaftingen J, Yung PL.
europepmc   +1 more source

From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2020
Gillman N   +4 more
europepmc   +1 more source

Optimal vaccination: various (counter) intuitive examples. [PDF]

open access: yesJ Math Biol, 2023
Delmas JF, Dronnier D, Zitt PA.
europepmc   +1 more source

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