selected publications academic article Hensley, D. (2018). A Polynomial Time Algorithm for the Hausdorff Dimension of Continued Fraction Cantor Sets. Journal of Number Theory. 58(1), 9-45. Hensley, D. (2018). The distribution of the number of factors in a factorization. Journal of Number Theory. 26(2), 179-191. 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. 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. Dajani, K., Hensley, D., Kraaikamp, C., & Masarotto, V. (2012). Arithmetic and ergodic properties of `flipped' continued fraction algorithms. Acta Arithmetica. 153(1), 51-79. Hensley, D. (2001). The geometry of badly approximable vectors. 7, 303-318. Hensley, D. (2000). The statistics of the continued fraction digit sum. PACIFIC JOURNAL OF MATHEMATICS. 192(1), 103-120. Hensley, D. (1998). Metric diophantine approximation and probability. 4, 249-257. Hensley, D. (1997). The Distribution of Reciprocal Pairs Modulo Polynomials over a Finite Field. Mathematische Nachrichten. 184(1), 177-190. Hensley, D. (1996). Note on a Paper by G. J. Rieger. Mathematische Nachrichten. 179(1), 103-106. Hensley, D. (1994). The Number of Steps in the Euclidean Algorithm. Journal of Number Theory. 49(2), 142-182. Hensley, D. (1992). Continued fraction Cantor sets, Hausdorff dimension, and functional analysis. Journal of Number Theory. 40(3), 336-358. Hensley, D. (1990). The distribution of badly approximable rationals and continuants with bounded digits, II. Journal of Number Theory. 34(3), 293-334. Hensley, D. (1989). The Hausdorff dimensions of some continued fraction cantor sets. Journal of Number Theory. 33(2), 182-198. Hensley, D. (1988). A truncated Gauss-Kuzmin law. Transactions of the American Mathematical Society. 306(1), 307-327. Hensley, D. (1987). The Distribution of Round Numbers. Proceedings of the London Mathematical Society. s3-54(3), 412-444. Hensley, D. (1986). The Convolution Powers of the Dickman Function. Journal of London Mathematical Society. s2-33(3), 395-406. Hensley, D. (1986). A property of the counting function of integers with no large prime factors. Journal of Number Theory. 22(1), 46-74. Hensley, D. (1985). The number of positive integers x and free of prime factors >y. Journal of Number Theory. 21(3), 286-298. Flahive, M., & Hensley, D. (1984). Approximation to complex from within a wedge. Journal of Number Theory. 19(1), 81-84. 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. 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. 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. Hensley, D. (1981). Concavity of powers of a convolution. Proceedings of the American Mathematical Society. 82(3), 503-504. Hensley, D. (1980). Corrigendum. Journal of Number Theory. 12(3), 437-437. 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. 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. Hensley, D. (1978). An almost-prime sieve. Journal of Number Theory. 10(2), 250-262. Hensley, D. (1977). Polynomials which take Gaussian integer values at Gaussian integers. Journal of Number Theory. 9(4), 510-524. Hensley, D. (1977). Simple continued fractions and special relativity. Proceedings of the American Mathematical Society. 67(2), 219-220. Hensley, D. (1976). An inequality related to the large sieve. Indagationes Mathematicae. 38(1), 22-29. Hensley, D. (1976). An inequality related to the large sieve. Indagationes Mathematicae (Proceedings). 79(1), 22-29. Hensley, D. (1976). The logarithmic center of a planar region. Proceedings of the American Mathematical Society. 57(2), 266-270. book Hensley, D. (2006). Continued Fractions. WORLD SCIENTIFIC.
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
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