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Averaging on thin sets of diagonal forms

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JournalJournal of Number Theory
DatePublished - Dec 2014
Volume145
Pages (from-to)22-50
Original languageEnglish

Abstract

We investigate one-dimensional families of diagonal forms, considering the evolution of the asymptotic formula and error term. We then discuss properties of the average asymptotic formula obtained. The subsequent second moment analysis precipitates an effective means of computing p-adic densities of zeros for large primes p.

    Research areas

  • Hardy-Littlewood method, diophantine equations

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