On finite sums of regressive isols
نویسندگان
چکیده
منابع مشابه
Finite Sums of Commutators
We show that elements of unital C-algebras without tracial states are finite sums of commutators. Moreover, the number of commutators involved is bounded, depending only on the given C-algebra.
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The summation formula n−1 i=0 ε i i! (i k + u k) = v k + ε n−1 n! A k−1 (n) A k−1 is a polynomial) is derived and its various aspects are considered. In particular, divisibility with respect to n is investigated. Infinitely many equivalents to Kurepa's hypothesis on the left factorial are found.
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Introduction* It has long been known that every positive rational number can be represented as a finite sum of reciprocals of distinct positive integers (the first proof having been given by Leonardo Pisano [6] in 1202). It is the purpose of this paper to characterize {cf. Theorem 4) those rational numbers which can be written as finite sums of reciprocals of distinct nth. powers of integers, w...
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We establish an upper bound for the number of zeros of finite sums of exponential functions defined in the set of real numbers, and then discuss some applications of this result to linear algebra. Also, we record a few questions for classroom conversations on the modifications of our theorem.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1981
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1981.97.19