Zobrazeno 1 - 10 of 1 185 pro vyhledávání: '"Farmer, A. W."'
1
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The Landscape of L-functions: degree 3 and conductor 1
Autor: Farmer, David W., Koutsoliotas, Sally, Lemurell, Stefan, Roberts, David P.
We extend previous lists by numerically computing approximations to many L-functions of degree $d=3$, conductor $N=1$, and small spectral parameters. We sketch how previous arguments extend to say that for very small spectral parameters there are no
Externí odkaz: http://arxiv.org/abs/2303.00079
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2
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Currently there are no reasons to doubt the Riemann Hypothesis
Autor: Farmer, David W.
We examine published arguments which suggest that the Riemann Hypothesis may not be true. In each case we provide evidence to explain why the claimed argument does not provide a good reason to doubt the Riemann Hypothesis. The evidence we cite involv
Externí odkaz: http://arxiv.org/abs/2211.11671
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10
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When are the roots of a polynomial real and distinct? A graphical view
Autor: Farmer, David W.
We prove the classical result, which goes back at least to Fourier, that a polynomial with real coefficients has all zeros real and distinct if and only if the polynomial and also all of its nonconstant derivatives have only negative minima and posit
Externí odkaz: http://arxiv.org/abs/2010.15608
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