ADDITIVE REPRESENTATION IN THIN SEQUENCES, VIII: DIOPHANTINE INEQUALITIES IN REVIEW

Joerg Bruedern*, Koichi Kawada, Trevor D. Wooley

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

Abstract

Recent developments in the theory of diophantine inequalities and the Davenport-Heilbronn method are discussed and then directed toward specific inequalities of definite character. Special emphasis is on the value-distribution of diagonal forms near thin test sequences.

Original languageEnglish
Title of host publicationNUMBER THEORY: DREAMING IN DREAMS
EditorsT Aoki, S Kanemitsu, JY Liu
Place of PublicationSINGAPORE
PublisherWorld Scientific Publishing Co.
Pages20-79
Number of pages60
Publication statusPublished - 2010
Event5th China-Japan Seminar on Number Theory - Higashiosaka, Japan
Duration: 27 Aug 200831 Aug 2008

Publication series

NameSeries on Number Theory and Its Applications
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Volume6
ISSN (Print)1793-3161

Conference

Conference5th China-Japan Seminar on Number Theory
CountryJapan
Period27/08/0831/08/08

Keywords

  • LATTICE POINT PROBLEMS
  • MEAN-VALUE THEOREM
  • WARING PROBLEM
  • GOLDBACH NUMBERS
  • PRIME VARIABLES
  • QUADRATIC-FORMS
  • CUBES
  • POLYNOMIALS
  • EQUATIONS
  • VALUES

Cite this

Bruedern, J., Kawada, K., & Wooley, T. D. (2010). ADDITIVE REPRESENTATION IN THIN SEQUENCES, VIII: DIOPHANTINE INEQUALITIES IN REVIEW. In T. Aoki, S. Kanemitsu, & JY. Liu (Eds.), NUMBER THEORY: DREAMING IN DREAMS (pp. 20-79). (Series on Number Theory and Its Applications; Vol. 6). World Scientific Publishing Co..