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Parametric Möbius inversion formulas

✍ Scribed by Beifang Chen


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
164 KB
Volume
169
Category
Article
ISSN
0012-365X

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✦ Synopsis


A M6bius inversion formula on the product of a locally finite poset and an arbitrary set is presented. The M6bius inversion of Number Theory is modified to several inversion formulas. The inversion method may be useful to some inverse problems.


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✍ Pentti Haukkanen 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 552 KB

An inver'sion formula for incidence functions is given. This formula is applied to certain types of number-theoretic identities, for example, to the arithmetical evaluation of Ramanujan's sum and to the identical equation of a class of multiplicative functions.