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On the sum of some alternating series

✍ Scribed by Roman Wituła; Damian Słota


Book ID
113512001
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
237 KB
Volume
62
Category
Article
ISSN
0898-1221

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Alternate Sylvester sums on the Frobeniu
✍ Weiping Wang; Tianming Wang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 267 KB

## a b s t r a c t The alternate Sylvester sums are T m (a, b) = n∈NR (-1) n n m , where a and b are coprime, positive integers, and NR is the Frobenius set associated with a and b. In this note, we study the generating functions, recurrences and explicit expressions of the alternate Sylvester sums