2 citations · 2 across the 3 of their papers we have counts for
3 papers
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.NT2007
2-Selmer Groups and the Birch-Swinnerton-Dyer Conjecture for the Congruent Number Curve
Robert C. Rhoades
We take an approach toward counting the number of n for which the curves E_n: y^2=x^3-n^2x have 2-Selmer groups of a given size. This question was also discussed in a pair of Inven…
math.NT2003★ 2 cited
Differentiation Evens Out Zero Spacings
David W. Farmer, Robert C. Rhoades
If is a polynomial with all of its roots on the real line, then the roots of the derivative are more evenly spaced than the roots of . The same holds for a real entire…