My Research

My research uses number-theoretic methods as well as harmonic and complex analysis in developing new theorems. My most recent efforts have been concentrated in the areas of zeta functions, Gaussians, quantum chaos, and spectral theory.

In the past, I often used supercomputers as a means of obtaining insight as to what should be true in these areas. (I was a Fellow in the Minnesota Supercomputer Institute from the late 1980s until about 2010.)

The following is my main book. It is available in major libraries.

TITLE:The Selberg trace formula for PSL (2, IR) / Dennis A. Hejhal.
IMPRINT:Berlin ; New York : Springer-Verlag, 1976-1983. 2 vols. ; 25 cm.

My papers on line
A list of all my publications is available in PDF format

Computer Images: Click to view some on-line quantum chaos computer graphics generated by my research groups in Minnesota and Uppsala using supercomputers (e.g., Cray YMP-EL, T3D, T3E, C90).

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