Heuristics for class numbers of prime-power real cyclotomic fields (2008)
Joe Buhler, Carl Pomerance, Leanne Robertson, Joe Buhler, Carl Pomerance, Leanne Robertson
Dedicated to Hugh Williams on the occasion of his sixtieth birthday Abstract. Let h + (ℓ n) denote the class number of the maximal totally real subfield Q(cos(2π/ℓ n)) of the field of ℓ n-th...
Department Co-m!ttee on Graduate Student On Playing Well in a Sum of Games (2007)
Laur Jo Yedwab, Laura Jo Yedwab, Ronald Rivest, Arthur Smith, Laura O Yedwab, Joe Buhler, ...
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The Probability That a Random Monic p-adic Polynomial Splits (2006)
Buhler, Joe, Goldstein, Daniel, Moews, David, Rosenberg, Joel
Let {\small $R$} be a complete discrete valuation ring with finite residue field, and let {\small $r_n$} be the probability that a random monic polynomial over {\small $R$} of degree {\small $n$}...
The probability that a random monic p-adic polynomial splits into linear factors (2004)
Buhler, Joe, Goldstein, Daniel, Moews, David, Rosenberg, Joel
Let n be a positive integer and let p be a prime. We calculate the probability that a random monic polynomial of degree n with coefficients in the ring Z_p of p-adic integers splits over Z_p into...
Symmetric functions and the phase problem in crystallography (2003)
Buhler, Joe, Reichstein, Zinovy
The calculation of crystal structure from X-ray diffraction data requires that the phases of the ``structure factors'' (Fourier coefficients) determined by scattering be deduced from the absolute...
Fast and Precise Computations of Discrete Fourier Transforms using Cyclotomic Integers (1997)
Joe Buhler, M. Amin Shokrollahi, Volker Stemann
Many applications of fast fourier transforms (FFT's), such as computer-tomography, geophysical signal processing, high resolution imaging radars, and prediction filters, require high precision...
Note A Note on the Binomial Drop Polynomial of a Poset (1992)
Suppose (P,-<) is a poset of size n and n: P- ~ P is a permutation. We say that n has a drop at x if n(x)~x. Let fie(k) denote the number of n having k drops, 0 < ~ k < n, and define the...