HR job title
- Retired Senior Professor
- Contact Info
Hensley, Douglas Retired Senior Professor
Positions
- Retired Senior Professor, Mathematics, College of Arts and Sciences
- Overview
- Publications
- Teaching
- Background
- Contact
- Other
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Overview
Publications
selected publications
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academic article
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Hensley, D.
(2018).
A Polynomial Time Algorithm for the Hausdorff Dimension of Continued Fraction Cantor Sets. Journal of Number Theory.
58(1), 9-45.
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Hensley, D.
(2018).
The distribution of the number of factors in a factorization. Journal of Number Theory.
26(2), 179-191.
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Cellarosi, F., Hensley, D., Miller, S. J., & Wellens, J. L.
(2015).
Continued Fraction Digit Averages and Maclaurin's Inequalities. Experimental Mathematics.
24(1), 23-44.
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Hensley, D.
(2012).
Continued fractions, Cantor sets, Hausdorff dimension, and transfer operators and their analytic extension. Discrete and Continuous Dynamical Systems Series A.
32(7), 2417-2436.
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Dajani, K., Hensley, D., Kraaikamp, C., & Masarotto, V.
(2012).
Arithmetic and ergodic properties of `flipped' continued fraction algorithms. Acta Arithmetica.
153(1), 51-79.
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Hensley, D.
(2001).
The geometry of badly approximable vectors. 7, 303-318.
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Hensley, D.
(2000).
The statistics of the continued fraction digit sum. PACIFIC JOURNAL OF MATHEMATICS.
192(1), 103-120.
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Hensley, D.
(1998).
Metric diophantine approximation and probability. 4, 249-257.
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Hensley, D.
(1997).
The Distribution of Reciprocal Pairs Modulo Polynomials over a Finite Field. Mathematische Nachrichten.
184(1), 177-190.
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Hensley, D.
(1996).
Note on a Paper by G. J. Rieger. Mathematische Nachrichten.
179(1), 103-106.
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Hensley, D.
(1994).
The Number of Steps in the Euclidean Algorithm. Journal of Number Theory.
49(2), 142-182.
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Hensley, D.
(1992).
Continued fraction Cantor sets, Hausdorff dimension, and functional analysis. Journal of Number Theory.
40(3), 336-358.
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Hensley, D.
(1990).
The distribution of badly approximable rationals and continuants with bounded digits, II. Journal of Number Theory.
34(3), 293-334.
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Hensley, D.
(1989).
The Hausdorff dimensions of some continued fraction cantor sets. Journal of Number Theory.
33(2), 182-198.
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Hensley, D.
(1988).
A truncated Gauss-Kuzmin law. Transactions of the American Mathematical Society.
306(1), 307-327.
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Hensley, D.
(1987).
The Distribution of Round Numbers. Proceedings of the London Mathematical Society.
s3-54(3), 412-444.
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Hensley, D.
(1986).
The Convolution Powers of the Dickman Function. Journal of London Mathematical Society.
s2-33(3), 395-406.
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Hensley, D.
(1986).
A property of the counting function of integers with no large prime factors. Journal of Number Theory.
22(1), 46-74.
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Hensley, D.
(1985).
The number of positive integers x and free of prime factors >y. Journal of Number Theory.
21(3), 286-298.
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Flahive, M., & Hensley, D.
(1984).
Approximation to complex from within a wedge. Journal of Number Theory.
19(1), 81-84.
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Hensley, D.
(1984).
The number of factorizations of numbers less than x x into divisors greater than y y. Transactions of the American Mathematical Society.
282(1), 259-274.
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Hensley, D.
(1984).
The sum of a(n) over integers n x with all prime factors between a and y. Journal of Number Theory.
18(2), 206-212.
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Hensley, D.
(1983).
The number of factorizations of numbers less than x x into factors less than y y. Transactions of the American Mathematical Society.
275(2), 477-496.
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Hensley, D.
(1981).
Concavity of powers of a convolution. Proceedings of the American Mathematical Society.
82(3), 503-504.
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Hensley, D.
(1980).
Corrigendum. Journal of Number Theory.
12(3), 437-437.
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Hensley, D.
(1980).
Slicing convex bodiesbounds for slice area in terms of the bodys covariance. Proceedings of the American Mathematical Society.
79(4), 619-625.
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Hensley, D.
(1979).
Slicing the cube in R n extbf {R}^{n} and probability (bounds for the measure of a central cube slice in R n extbf {R}^{n} by probability methods). Proceedings of the American Mathematical Society.
73(1), 95-100.
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Hensley, D.
(1978).
An almost-prime sieve. Journal of Number Theory.
10(2), 250-262.
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Hensley, D.
(1977).
Polynomials which take Gaussian integer values at Gaussian integers. Journal of Number Theory.
9(4), 510-524.
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Hensley, D.
(1977).
Simple continued fractions and special relativity. Proceedings of the American Mathematical Society.
67(2), 219-220.
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Hensley, D.
(1976).
An inequality related to the large sieve. Indagationes Mathematicae.
38(1), 22-29.
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Hensley, D.
(1976).
An inequality related to the large sieve. Indagationes Mathematicae (Proceedings).
79(1), 22-29.
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Hensley, D.
(1976).
The logarithmic center of a planar region. Proceedings of the American Mathematical Society.
57(2), 266-270.
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Hensley, D.
(2018).
A Polynomial Time Algorithm for the Hausdorff Dimension of Continued Fraction Cantor Sets. Journal of Number Theory.
58(1), 9-45.
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book
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Hensley, D.
(2006).
Continued Fractions. WORLD SCIENTIFIC.
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Hensley, D.
(2006).
Continued Fractions. WORLD SCIENTIFIC.
Teaching
teaching activities
- MATH221 Hnr-sev Variable Calculus Instructor
- MATH251 Engineering Math Iii Instructor
- MATH302 Discrete Mathematics Instructor
- MATH311 Top In Applied Math I Instructor
- MATH490 The Putnam Challenge Instructor
Background
education and training
- Ph.D. in Mathematics, University of Minnesota - (Minneapolis, Minnesota, United States) 1974
- B.A., University of Kansas - (Lawrence, Kansas, United States) 1970
Contact
first name
- Douglas
has last name
- Hensley
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- d-hensley@tamu.edu