CSUEB Professor's new research appears in April 2010 issue.

CSUEB Professor's new research appears in April 2010 issue.

CSUEB Professor publishes new research on Josephus problem

  • March 4, 2010 5:00am

If you've been struggling with the ancient problem of Josephus, you're in luck. Cal State East Bay Professor of Mathematics & Computer Science Christopher Morgan will soon publish his latest research on this topic.

Dr. Morgan's article, "An application of Fourier transforms on finite Abelian groups to an enumeration arising from the Josephus problem," appears in the April 2010 issue of the Journal of Number Theory. He and Gregory L. Wilson, BerrieHill Research Corporation, analyze an enumeration associated with the Josephus problem by applying a Fourier transform to a multivariate generating function. This yields a formula for the enumeration that reduces to a simple expression under a condition called local prime abundance. A resulting computation shows that the enumeration is nontrivial for this case.

Lost?! A video is posted to youtube.com to help explain.

CSUEB staff, students, and faculty have full access to this article via ScienceDirect (PDF).

California State University, East Bay is the San Francisco East Bay Area's high-access public university of choice. CSUEB serves the region with campuses in Hayward and Concord, a professional development center in Oakland, and an innovative online campus. With an enrollment of more than 14,000, the University offers a nationally recognized freshman year experience, award-winning curriculum, personalized instruction, and expert faculty. Students choose from among more than 100 professionally focused fields of study for which the University confers bachelor's and master's degrees, as well as an Ed.D. in education. Named a "Best in the West" college, as well as a Best Business School, by the influential Princeton Review, Cal State East Bay is among the region's foremost producers of teachers, business professionals and entrepreneurs, public administrators, health professionals, literary and performing artists, and science and math graduates.

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