D. Farmer

activity

19992008

most citedAutocorrelation of ratios of L-functions

7 citations · 23 across the 13 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.PR2008★ 1 cited

Palindromic random trigonometric polynomials

J. Brian Conrey, David W. Farmer, Özlem Imamoglu

We show that if a real trigonometric polynomial has few real roots, then the trigonometric polynomial obtained by writing the coefficients in reverse order must have many real root…

math.GM2008

Differentiating polynomials, and zeta(2)

David W. Farmer, Robert Rhoades

We study the derivatives of polynomials with equally spaced zeros and find connections to the values of the Riemann zeta-function at the positive even integers.

math.NT2008

Pair correlation of the zeros of the derivative of the Riemann $ξ$ -function

David W. Farmer, Steven M. Gonek

The complex zeros of the Riemannn zeta-function are identical to the zeros of the Riemann xi-function, $ξ (s)$ . Thus, if the Riemann Hypothesis is true for the zeta-function, it is…

Palindromic random trigonometric polynomials

Differentiating polynomials, and zeta(2)

Pair correlation of the zeros of the derivative of the Riemann ξ-function

Pair correlation of the zeros of the derivative of the Riemann $ξ$ -function