Sums of generalized harmonic series

Author:

Silagadze Zurab

Publisher

Springer Science and Business Media LLC

Subject

Education

Reference25 articles.

1. V I Arnold, Problems for Kids from 5 to 15, MCNMO, Moscow, 2004, (in Russian).

2. A M Yaglom and I M Yaglom, Elementary Presentation of Nonelementary Problems, problem 143, Gostekhizdat, Moscow, 1954, (in Russian).

3. D Kalman, Six Ways to Sum a Series, College Math. J., Vol.24, pp.402–421, 1993.

4. K P Kokhas, Sum of inverse squares, Mathematicheskoe Prosveshenie, Vol.8, pp.142–163, 2004, (in Russian). See also informal notes by R Chapman, Evaluating ζ(2), http://www.secamlocal.ex.ac.uk/~rjc/etc/ zeta2.pdf

5. J Hofbauer, A simple proof of $$1 + \frac{1}{{{2^2}}} + \frac{1}{{{3^2}}} + \ldots = \frac{{{\pi ^2}}}{6}$$ and related identities, Am. Math. Mon, Vol.109, pp.196–200, 2002.

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1. Euler-like sums via powers of log, arctan and arctanh functions;Integral Transforms and Special Functions;2020-06-01

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