Abstract | ||
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AbstractWe present a new simple proof of Euler’s formulas for ζ(2k), where k = 1, 2, 3,…. The computation is done using only the defining properties of the Bernoulli polynomials and summing a telescoping series. The same method also yields integral formulas for ζ(2k + 1). |
Year | Venue | Field |
---|---|---|
2015 | The American Mathematical Monthly | Bernoulli polynomials,Algebra,Euler's formula,Telescoping series,Mathematics,Computation |
DocType | Volume | Issue |
Journal | 122 | 5 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Óscar Ciaurri | 1 | 0 | 5.41 |
Luis M. Navas | 2 | 9 | 3.39 |
Francisco Ruiz | 3 | 301 | 29.12 |
JUAN LUIS VARONA | 4 | 9 | 4.63 |