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A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem

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  • معلومة اضافية
    • Contributors:
      Virginia Tech Blacksburg; University of Bristol Bristol; Heilbronn Institute for Mathematical Research; Department of mathematics North Carolina; North Carolina State University Raleigh (NC State); University of North Carolina System (UNC)-University of North Carolina System (UNC); Mathematical Institute Oxford (MI); University of Oxford; Institut Camille Jordan (ICJ); École Centrale de Lyon (ECL); Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon); Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS); Combinatoire, théorie des nombres (CTN); Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL); Australian National University (ANU); ANR-20-CE91-0006,ArithRand,Aléa arithmétique(2020)
    • بيانات النشر:
      HAL CCSD
      University College London
    • الموضوع:
      2023
    • نبذة مختصرة :
      International audience ; Abstract 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.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/2207.01097; hal-04451292; https://hal.science/hal-04451292; https://hal.science/hal-04451292/document; https://hal.science/hal-04451292/file/Mathematika%20-%202023%20-%20Cook%20-%20A%20decoupling%20interpretation%20of%20an%20old%20argument%20for%20Vinogradov%20s%20Mean%20Value%20Theorem.pdf; ARXIV: 2207.01097
    • الرقم المعرف:
      10.1112/mtk.12231
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.CB9C5A3F