Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging - providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications....
Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding...
This work is concerned with computational aspects of the Selberg trace formalism. In this area, computing the discrete spectrum of the non-Euclidean Laplacian is especially important. Hecke triangle groups represent one of the simplest possible cofinite settings for this type of problem. In addition to considering the usual type of eigenfunction, the author discusses an updated analysis of pseudo cusp forms and their residual effects. The actual computer code, run on a Cray supercomputer, is included in the appendices. Possibilities for further work, both theoretical and computational are...
This work is concerned with computational aspects of the Selberg trace formalism. In this area, computing the discrete spectrum of the non-Euclidean L...
Dennis A. Hejhal Joel Friedman Martin C. Gutzwiller
Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging - providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications....
Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding...
This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer's works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work. A complete bibliography and brief biography make this a rounded and invaluable reference.
This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer's works herein...
