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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…
math.NT2003
Deformations of Maass forms
David W. Farmer, Stefan Lemurell
We describe numerical calculations which examine the Phillips-Sarnak conjecture concerning the disappearance of cusp forms on a noncompact finite volume Riemann surface under d…