Chow, Samuel Khai Ho
(2017)
Birch's theorem with shifts.
Annali della Scuola Normale Superiore di Pisa. Classe di Scienze.
pp. 449-483.
Abstract
A famous result due to Birch (1961) provides an asymptotic formula for the number of integer points in an expanding box at which given rational forms of the same degree simultaneously vanish, subject to a geometric condition. We present the first inequalities analogue of Birch's theorem.
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Authors/Creators:
Chow, Samuel Khai Ho (sc2009@york.ac.uk)
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Keywords:
diophantine inequalities, forms in many variables, inhomogeneous polynomials
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