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Two Simple Recursive Formulas for Summing 1k+ 2k+ 3k+ ⋯ + nk

✍ Scribed by Michael Carchidi


Book ID
121723755
Publisher
Mathematical Association of America
Year
1987
Tongue
English
Weight
340 KB
Volume
18
Category
Article
ISSN
0746-8342

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A Limit Formula for ζ(2k+1)
✍ Yizhong Lan 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 140 KB

In this paper, we gave a limit formula for `(2k+1). This formula is related to a tamely ramified cyclic field of degree 2k+1. ## 1999 Academic Press Let k be a positive integer. We know that the value of the Riemann zeta function `(s) at s=2k is where B 2k is the Bernoulli number. According to th