EVALUATIONS OF $\zeta(2n)$
2000
Since the time of Euler, there have been many proofs giving the value of . We also give an evaluation of by analyzing the generating function of Bernoulli numbers.
Keywords:
- Harmonic number
- Particular values of Riemann zeta function
- Arithmetic zeta function
- Bernoulli polynomials
- Bernoulli number
- Prime zeta function
- Mathematical analysis
- Discrete mathematics
- Proof of the Euler product formula for the Riemann zeta function
- Multiplication theorem
- Mathematics
- Applied mathematics
- Polylogarithm
- Riemann zeta function
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