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Some new combinatorial identities derived from units in algebraic number fields

✍ Scribed by Malvina Baica


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
362 KB
Volume
54
Category
Article
ISSN
0012-365X

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✦ Synopsis


Dedicated to the memory of Jiirgen Sehmidt* Two new combinatorial identities are derived from explicitly stated units in algebraic number fields of degree n= 3. Let e=w-D be a unit in a cubic field where w 3= D3+ 1. D~N and 2 2 n =0, 1 ..... Then z.-t,,+l-t~t.+2 and t~ = z._~-z._2z . are two combinatorial identities where t.+ 2 and z,~÷~ are obtained f~om some recursion formulas. Both have the same structure.