Robert Charles Vaughan

    • 1495 Citations
    • 20 h-Index
    1970 …2018
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    • 3 Similar Profiles
    Waring's problem Mathematics
    Arithmetic sequence Mathematics
    Diophantine Approximation Mathematics
    Mean value theorem Mathematics
    Prime number Mathematics
    Asymptotic Formula Mathematics
    Divisor Function Mathematics
    Regular hexahedron Mathematics

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    Research Output 1970 2018

    • 1495 Citations
    • 20 h-Index
    • 78 Article
    • 1 Chapter
    • 1 Comment/debate

    Corrigendum to “On the number of partitions into primes”

    Vaughan, R. C., May 1 2018, In : Ramanujan Journal. 46, 1, p. 307-308 2 p.

    Research output: Contribution to journalArticle

    Partition

    The asymptotic formula in Waring's problem: Higher order expansions

    Vaughan, R. C. & Wooley, T. D., Sep 1 2018, In : Journal fur die Reine und Angewandte Mathematik. 2018, 742, p. 17-46 30 p.

    Research output: Contribution to journalArticle

    Waring's problem
    Natural number
    Asymptotic Formula
    Asymptotic Expansion
    Higher Order
    1 Citation (Scopus)

    The divisor function on residue classes II

    Pongsriiam, P. & Vaughan, R. C., Jan 1 2018, In : Acta Arithmetica. 182, 2, p. 133-181 49 p.

    Research output: Contribution to journalArticle

    Divisor Function
    Arithmetic sequence
    Class

    Diophantine Approximation on Manifolds and Lower Bounds for Hausdorff Dimension

    Beresnevich, V., Lee, L., Vaughan, R. C. & Velani, S., Jan 1 2017, In : Mathematika. 63, 3, p. 762-779 18 p.

    Research output: Contribution to journalArticle

    Diophantine Approximation
    Hausdorff Measure
    Hausdorff Dimension
    Submanifolds
    Lower bound
    4 Citations (Scopus)

    Diophantine approximation on manifolds and the distribution of rational points: Contributions to the convergence theory

    Beresnevich, V., Vaughan, R. C., Velani, S. & Zorin, E., May 1 2017, In : International Mathematics Research Notices. 2017, 10, p. 2885-2908 24 p.

    Research output: Contribution to journalArticle

    Diophantine Approximation
    Convergence Theory
    Rational Points
    Nondegeneracy
    Strictly