Essays about: "Waring s problem"

Found 2 essays containing the words Waring s problem.

  1. 1. Waring’s Problem and the Hardy-Littlewood circle method

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Francisco Gonçalves Jorge Dias de Carvalho; [2021]
    Keywords : Hardy-Littlewood Weyl sums Weyl s inequality Hua s lemma Vinogradov major arcs minor arcs singular series; Mathematics and Statistics;

    Abstract : In this bachelor thesis, we appply the Hardy-Littlewood circle method to Waring's problem using Vinogradov's exponential sums approach. On the last section, we focus on the consequeces of the recently proved Vinogradov's mean value theorem... READ MORE

  3. 2. Linnik's Proof of the Waring-Hilbert Theorem

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Thomas Johansson; [2016]
    Keywords : Number theory; Waring-Hilbert s theorem; Waring s problem; Mathematics and Statistics;

    Abstract : In number theory, Waring–Hilbert’s theorem guarantees that for each k there is an integer h ≥ 0 so that, for every non-negative integer n there are non-negative integers a1,a2,...,ak such that ak 1 + ak 2 + ··· + ak h = n. READ MORE