Department of Mathematics and Statistics

Faculty of Science

Karl Dilcher

Professor

Karl Dilcher web
Department of Mathematics and Statistics

Email: dilcher@mathstat.dal.ca
Phone: (902) 494-3784
Mailing Address: 
Department of Mathematics & Statistics
Dalhousie University
6297 Castine Way - PO Box 15000
Halifax, Nova Scotia, Canada
B3H 4R2
 
Research Topics:
  • Number theory
  • Combinatorial number theory
  • Computational number theory
  • Classical analysis
  • Bernoulli and Euler numbers
  • Sequences of polynomials
  • Zeros of polynomials
  • Graph-theoretic polynomials

On sabbatical July 1, 2024 through December 31, 2024

Office Number: Chase Room 325

Education: PhD - Queen's University (1983)
Dipl. Math -TU Clausthal (1979)
MSc - Queen's University (1978)

Scholarly Interests: Number theory (elementary, computational, analytic),Classical analysis (zeros of polynomials, inequalities), Bernoulli numbers & polynomials  and related sequences.

Selected Publications:

  • Jason I. Brown, Karl Dilcher, and Dante V. Manna, On a sequence of sparse binomial-type polynomials. J. Math. Anal. Appl. 398 (2013), no. 1, 128-137.
  • Takashi Agoh and Karl Dilcher, Convolution and reciprocity formulas for Bernoulli polynomials. Integers 11 (2011), A43, 12 pp.
  • John B. Cosgrave and Karl Dilcher, An introduction to Gauss factorials.Amer. Math. Monthly 118 (2011), no. 9, 812-829.
  • Karl Dilcher, Rob Noble, and Chris Smyth, Minimal polynomials of algebraic numbers with rational parameters. Acta Arith. 148 (2011), no. 3, 281-308.
  • John B. Cosgrave, and Karl Dilcher, Mod p3 analogues of theorems of Gauss and Jacobi on binomial coefficients. Acta Arith. 142 (2010), no. 2, 103-118.
  • Karl Dilcher and Kenneth B. Stolarsky, Stern polynomials and double-limit continued fractions. Acta Arith. 140 (2009), no. 2, 119-134.

    BOOK CHAPTER
  • Karl Dilcher, Bernoulli and Euler polynomials. NIST Handbook of Mathematical Functions, 587-599, U.S. Dept. Commerce, Washington, DC, and Cambridge University Press, 2010.

Personal site:  http://www.mathstat.dal.ca/~dilcher/