Abstract
We re-examine Körner’s number field version of a minor-arcs estimate introduced by Vinogradov into the study of Waring’s function G(k). Dependencies on both k and the degree n of the number field are reduced via improved mean value estimates for Weyl sums over ‘smooth’ algebraic integers.
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© 1999 Kluwer Academic Publishers
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Davidson, M. (1999). A New Minor-Arcs Estimate for Number Fields. In: Ahlgren, S.D., Andrews, G.E., Ono, K. (eds) Topics in Number Theory. Mathematics and Its Applications, vol 467. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0305-3_9
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DOI: https://doi.org/10.1007/978-1-4613-0305-3_9
Publisher Name: Springer, Boston, MA
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