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20172026
most citedBandlimited approximations and estimates for the Riemann zeta-function

16 citations · 46 across the 17 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.NT2023

Bounding zeta on the 1-line under the partial Riemann hypothesis

Andrés Chirre

We provide explicit bounds in the theory of the Riemann zeta-function at the line , assuming that the Riemann hypothesis holds until the height . In particular, we imp…

math.NT2023

Remarks on a Formula of Ramanujan

Andrés Chirre, Steven M. Gonek

Assuming an averaged form of Mertens' conjecture and that the ordinates of the non-trivial zeros of the Riemann zeta function are linearly independent over the rationals, we analyz…

math.CA2023

An extremal problem and inequalities for entire functions of exponential type

Andrés Chirre, Dimitar K. Dimitrov, Emily Quesada-Herrera +1

We study two variations of the classical one-delta problem for entire functions of exponential type, known also as the Carathéodory--Fejér--Turán problem. The first variation impos…