Improved explicit bounds |ζ(1+it)| ≤ (1/2) log t + 1.57 for t ≥ 3 and |ζ(1+it)| ≤ (1/3) log t + 2 log log t - 1.16 for t ≥ 10^8 using smoothing.
An explicit upper bound for | (1+it) |
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Utilizing Smoothing Techniques to Bound $|\zeta(1+it)|$
Improved explicit bounds |ζ(1+it)| ≤ (1/2) log t + 1.57 for t ≥ 3 and |ζ(1+it)| ≤ (1/3) log t + 2 log log t - 1.16 for t ≥ 10^8 using smoothing.