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Length and denominators of Egyptian fractions

✍ Scribed by Hisashi Yokota


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
353 KB
Volume
24
Category
Article
ISSN
0022-314X

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Let M be a finitely generated module over a Noetherian local ring (R, m) with dim M = d. Let (x 1 , . . . , x d ) be a system of parameters of M and (n 1 , . . . , n d ) a set of positive integers. Consider the length of generalized fraction 1/(x n 1 1 , . . . , x n d d , 1) as a function in n 1 , .