Publications of Kevin G. Hare

Available at

Only recent papers are available online pdf form. For other papers or other formats please contact me. The online publications below are NOT necessarily authoritative nor necessarily final versions. They are listed in reverse chronological order of writing.
Online Papers
Additional Information
P43: Three Series for the Generlized Golden Mean
P41: On cycles for the doubling map which are disjoint from an interval
P40: Sporadic Reinhardt Polygons
P39: Extremal sequences of polynomial complexity
P38: A Multi-dimensional analogue of Cobham's Theorem for Fractals
P37: Negative Pisot and Salem numbers as roots of Newman polynomials
P36: Some Comments on Garsia Numbers Java Code
Garsia Polynomials to degree 40
P35: An explicit counterexample to the Lagarias-Wang finiteness conjecture
P34: Stolarsky's Conjecture and the Sum of Digits of Polynomial Values
P33: The Sum of Digits of n and n2
P32: Infinite Barker Series
P31: A Lower bound for Garsia's Entropy for certain Bernoulli convolutions. Maple Code
P30: Fekete-like polynomials. Data
P29: Groebner Basis, Resultants and the generalized Mandelbrot Set
P28: Patterns and Periodicity in a Family of Resultants
P27: Beta-expansions for infinite families of Pisot and Salem numbers
P26: More variations on the Sierpinski Sieve Maple Code
P25: Tiles in Quasi-Crystals with Quartic Irrationality
P24: Beta-expansions of Pisot and Salem numbers Maple Code
P23: On Univoque Pisot numbers
P22: The Monic Transfinite Diameter Table (pdf), Table (postscript)
P21: Comments on the Spectra of Pisot Numbers
P20: New techniques for bounds on the total number of prime factors of an odd perfect number. Maple Code and Tests (no output)
(5 M compressed)

Output available upon request
(over 600 M compressed, 5 G uncompressed)
P19: Zeros of Polynomials with Cyclotomic Coefficients
P18: A Classification of (some) Pisot Cyclotomic Numbers
P17: On Z-modules of algebraic numbers Corrigendum to "On Z-modules of algebraic numbers"
P16: On the height of the Sylvester Resultants
P15: More on the total number of prime factors of an odd perfect number Maple Code and Tests
(29 M compressed)
P14: Generalized Gorshkov-Wirsing Polynoimals and the Integer Chebyshev Problem Additional Tables
Data for tables (30 M compressed )
P13: Further Results on Derived Sequences
P12: The Structure of the Spectra of Pisot Numbers Maple Code
P11: The Mahler measure of Polynomials with odd coefficients
P9: Reverse Symbolic Computations, the identify function
P8: Pisot numbers and the Spectra of Real numbers (PhD Thesis)
P7: Non-trival Quadratic Approximations to zero of a family of Cubic Pisot Numbers
P6: General Forms for Minimal Spectral Values For a Class of Quadratic Pisot Numbers
P5: Some Computations on the Spectra of Pisot and Salem Numbers
P4: Perfect k,r-Latin Squares
P3: Multisectioning Rational Poly-Exponential Functions and Parallel Computation (Master's Thesis)
P2: Some applications of the LLL algorithm

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