Counterexamples to Robertson's conjecture

F.W. Steutel

Research output: Contribution to journalArticleAcademicpeer-review


We consider the coefficients dnj(y) in {((1 + z)x/(1 - z)x - 1)}y = ¿n=08 zn ¿j = 0n, dnj(y)xj. By use of divisibility results from probability theory it is shown that for every positive, non-integer, rational value of y some of the dnj(y) are negative. For this result yields counterexamples to a conjecture by [4.].
Original languageEnglish
Pages (from-to)578-582
Number of pages5
JournalJournal of Mathematical Analysis and Applications
Issue number2
Publication statusPublished - 1991


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