Euler Basis, Identities, and Their Applications
Copyright policy ) Dae San Kim; Taekyun Kim 0001;
Euler Basis, Identities, and Their Applications
LetVn={p(x)∈ℚ[x]|deg p(x)≤n}be the(n+1)-dimensional vector space overℚ. We show that{E0(x),E1(x),…,En(x)}is a good basis for the spaceVn, for our purpose of arithmetical and combinatorial applications. Thus, ifp(x)∈ℚ[x]is of degreen, thenp(x)=∑l=0nblEl(x)for some uniquely determinedbl∈ℚ. In this paper we develop method for computingblfrom the information ofp(x).
- Kwangwoon University Korea (Republic of)
- Sogang University Korea (Republic of)
- Department of Mathematics
- Sogang University
- Sogang University
Vector spaces, linear dependence, rank, lineability, QA1-939, Bernoulli and Euler numbers and polynomials, Mathematics, Combinatorial identities, bijective combinatorics
Vector spaces, linear dependence, rank, lineability, QA1-939, Bernoulli and Euler numbers and polynomials, Mathematics, Combinatorial identities, bijective combinatorics
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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