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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…