Judy A. Holdener
Judy Holdener (born 1965) is an American mathematician and educator. She is a professor of mathematics at Kenyon College. Holdener's primary interest is in number theory. She discovered a simpler proof of the theorem of Touchard, which states that every perfect number is of the form 2k, 12k+1, or 36k+9.
Holdener earned her B.S. in mathematics at Kent State University and her M.S. and Ph.D. in mathematics at the University of Illinois at Urbana-Champaign. Holdener joined the faculty of Kenyon College in 1997, where she is currently the John B. McCoy Distinguished Teaching Chair.
- Holdener, J. A. (2002), "A Theorem of Touchard and the Form of Odd Perfect Numbers", American Mathematical Monthly, Mathematical Association of America, 109 (7): 661–663, doi:10.2307/3072433, JSTOR 3072433.
- Touchard, Jacques (1953), "On prime numbers and perfect numbers", Scripta Mathematica, 19: 35–39.