DAVENPORT'S METHOD AND SLIM EXCEPTIONAL SETS: THE ASYMPTOTIC FORMULAE IN WARING'S PROBLEM

Author:

Kawada Koichi1,Wooley Trevor D.2

Affiliation:

1. Department of MathematicsFaculty of EducationIwate UniversityMorioka020‐8550Japan

2. School of MathematicsUniversity of BristolUniversity Walk, CliftonBristolBS8 1TWU.K.

Publisher

Wiley

Subject

General Mathematics

Reference20 articles.

1. Slim Exceptional Sets in Waring's Problem: One Square and Five Cubes

2. On Waring's problem for smaller exponents. II

3. On Waring’s problem for cubes;Vaughan;J. Reine Angew. Math.,1986

4. [4] Brüdern J. and Wooley T. D. , The asymptotic formulae in Waring’s problem for cubes. J. Reine Angew. Math. (in press).

5. The Hasse principle for pairs of diagonal cubic forms

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1. Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations;Journal of the European Mathematical Society;2018-07-09

2. Cubic moments of Fourier coefficients and pairs of diagonal quartic forms;Journal of the European Mathematical Society;2015

3. ON WARING'S PROBLEM: TWO SQUARES AND THREE BIQUADRATES;Mathematika;2013-06-28

4. Exceptional Sets for Diophantine Inequalities;International Mathematics Research Notices;2013-04-09

5. The Asymptotic Formula in Waring’s Problem;International Mathematics Research Notices;2012

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