Results 81 to 90 of about 370,794 (154)

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

open access: yes, 2010
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
Wooley, Trevor D.   +2 more
core  

Analytic methods for Diophantine equations and Diophantine inequalities, by Harold Davenport

open access: yes, 2005
Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to ...
Browning, TD
core  

Integral Farkas type lemmas for systems with equalities and inequalities [PDF]

open access: yes
A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in the dual lattice, y T A integral such that y T b is fractional.
WEISMANTEL, Robert   +2 more
core  

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