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 area of
zeta functions and spectral theory.
I often use computers as a means of obtaining
insight as to what should be true here.
(I have been a Fellow in the Minnesota Supercomputer Inst
since the late 1980's.)
The following is a list of my books published. They are
available in major libraries.
TITLE:Theta functions, kernel functions, and Abelian integrals, by Dennis A. Hejhal.
IMPRINT: [Providence R.I., American Mathematical Society, 1972]
112 p. 26 cm.
TITLE:Eigenvalues of the Laplacian for Hecke triangle groups / Dennis A.
Hecke triangle groups.
IMPRINT:Providence, RI : American Mathematical Society, 1992.
TITLE:Regular b-groups, degenerating Riemann surfaces, and spectral theory
/ Dennis A. Hejhal.
IMPRINT:Providence, R.I., USA : American Mathematical Society, 1990.
iv, 138 p. : ill. ; 26 cm.
TITLE:AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical
Sciences on the Selberg Trace Formula and Related Topics (1984 :
The Selberg trace formula and related topics : proceedings of the
AMS-IMS-SIAM Joint Summer Research Conference held July 22-28, 1984
with support from the National Science Foundation / Dennis A.
Hejhal, Peter Sarnak, and Audrey Anne Terras, editor.
IMPRINT:Providence, R.I. : American Mathematical Society, c1986.
ix, 554 p. ; 25 cm.
TITLE:The Selberg trace formula for PSL (2, IR) / Dennis A. Hejhal.
IMPRINT:Berlin ; New York : Springer-Verlag, 1976-1983.
2 v. ; 25 cm.