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The Diophantine Frobenius Problem$
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Jorge L. Ramírez Alfonsín

Print publication date: 2005

Print ISBN-13: 9780198568209

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198568209.001.0001

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The general problem

The general problem

Chapter:
(p.45) 3 The general problem
Source:
The Diophantine Frobenius Problem
Author(s):

J. L. Ramírez Alfonsín

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568209.003.0003

This chapter provides a systematic exposition of the known formulas, including upper and lower bounds for g(a1, . . . , an) for general n, and for special sequences (for instance, when a1, . . . , an forms an arithmetic sequence). Results on the change in value of g(a1, . . . , an), when an additional element an + 1 is inserted, are also given.

Keywords:   Frobenius number, upper bounds, lower bounds, arithmetic sequences

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