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math.NT2025
Short mollifiers of the Riemann zeta-function
J. Brian Conrey, David W. Farmer, Chung-Hang Kwan +2
We apply the calculus of variations to construct a new sequence of linear combinations of derivatives of the Riemann -function adapted to Levinson's method, which yield a positi…
math.CV2025
The bimodal distribution in the derivative of unitary polynomials
David W. Farmer
The derivative of a polynomial with all zeros on the unit circle has the zeros of its derivative on or inside the unit circle. It has been observed that in many cases the zeros of…