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In this Physics video in Hindi for Mathematical Methods in Physics for B.Sc. we Maclaurin - Cauchy Integral test on Riemann Zeta function.
Riemann zeta function is denoted by ζ(p) = Σ 1/n^p, where p ∈ ℕ. So, ζ(p) = 1/1^p + 1/2^p + 1/3^p + .....
e.g., ζ(2) = 1/1^2 + 1/2^2 + 1/3^2 + .....
Applying integral test we found that for p is less than 1 the series converges and for p ≥ 1 the series converges.
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