S. Gonek

activity

19992025

most citedA Hybrid Euler-Hadamard product formula for the Riemann zeta function

24 citations · 73 across the 15 of their papers we have counts for

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Showing 2005Show all

2 papers · 1 filter

math.NT2005★ 24 cited

A Hybrid Euler-Hadamard product formula for the Riemann zeta function

S. M. Gonek, C. P. Hughes, J. P. Keating

We use a smoothed version of the explicit formula to find an approximation to the Riemann zeta function as a product over its nontrivial zeros multiplied by a product over the prim…

math.NT2005★ 16 cited

A note on S(T) and the zeros of the Riemann zeta-function

D. A. Goldston, S. M. Gonek

Let $π S (t)$ denote the argument of the Riemann zeta-function at the point $\frac{1}{2} + i t$ . Assuming the Riemann Hypothesis, we sharpen the constant in the best currently known bounds…