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Multiple recurrence and nilsequences

โœ Scribed by Vitaly Bergelson; Bernard Host; Bryna Kra; Imre Ruzsa


Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
476 KB
Volume
160
Category
Article
ISSN
0020-9910

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An extension of Knuth's Fibonacci multiplication to recurrences Gk+d = alGk+d\_l + + adGk with al 2 a2 2 2 ad > 0 and "canonical" initial values Gk = alGk\_l + azGk\_2 + + akGo + 1, 0 5 Ic < d is established. We prove associativity for this multiplication if a related parameter is chosen sufficient