Background
Lehner, Joseph was born on October 29, 1912 in New York City. Son of Louis and Rachael (Rosenbloom) Lehner.
(Much has been written on the theory of discontinuous grou...)
Much has been written on the theory of discontinuous groups and automorphic functions since 1880, when the subject received its first formulation. The purpose of this book is to bring together in one place both the classical and modern aspects of the theory, and to present them clearly and in a modern language and notation. The emphasis in this book is on the fundamental parts of the subject. The book is directed to three classes of readers: graduate students approaching the subject for the first time, mature mathematicians who wish to gain some knowledge and understanding of automorphic function theory, and experts.
http://www.amazon.com/gp/product/0821815083/?tag=2022091-20
(This concise three-part treatment introduces undergraduat...)
This concise three-part treatment introduces undergraduate and graduate students to the theory of automorphic functions and discontinuous groups. Author Joseph Lehner begins by elaborating on the theory of discontinuous groups by the classical method of Poincaré, employing the model of the hyperbolic plane. The necessary hyperbolic geometry is developed in the text. Chapter two develops automorphic functions and forms via the Poincaré series. Formulas for divisors of a function and form are proved and their consequences analyzed. The final chapter is devoted to the connection between automorphic function theory and Riemann surface theory, concluding with some applications of Riemann-Roch theorem. The book presupposes only the usual first courses in complex analysis, topology, and algebra. Exercises range from routine verifications to significant theorems. Notes at the end of each chapter describe further results and extensions, and a glossary offers definitions of terms.
http://www.amazon.com/gp/product/0486789748/?tag=2022091-20
Lehner, Joseph was born on October 29, 1912 in New York City. Son of Louis and Rachael (Rosenbloom) Lehner.
Bachelor of Science, New York University, 1938; Doctor of Philosophy, University of Pennsylvania, 1941.
Instructor, Cornell Univercity, Ithaca, New York, 1941-1943; member of staff, Kellex Corporation, New York City, 1943-1946; head mathematics group, Hydrocarbon Research Inc., New York City, 1946-1949; associate professor, University of Pennsylvania, Philadelphia, 1949-1952; member of staff, Los Alamos (New Mexico) Science Laboratory, 1952-1957; professor, Michigan State University, East Lansing, 1957-1963; professor, U. Maryland., College Park, 1963-1972; Mellon professor, U. Pittsburgh, 1972-1980. Consultant Sandia National laboratories, Albuquerque, 1958-1962, United States Bureau Standards, Washington, 1962-1975. Lecturer on modular forms United States National Bureau Standards,1969.
(Much has been written on the theory of discontinuous grou...)
(Much has been written on the theory of discontinuous grou...)
(This concise three-part treatment introduces undergraduat...)
Member American Mathematics Society, London Mathematics Society, Mathematics Association American, Los Alamos Association Mental Health (president 1956-1957).
Married Mary Beluch, August 17, 1938. 1 child, Janet.