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Two approaches to compute GL(3) automorphic forms

Autor Ce Bian
en Limba Engleză Paperback – 20 feb 2012
Ce Bian and Andrew Booker exhibited the first example of a third degree transcendental L-function at the American Institute of Mathematics (AIM). These L-functions encode deep underlying connections between many different areas of mathematics. While the result was announced the news caused excitement at the workshop attended by 25 of the world's leading analytic number theorists. "This breakthrough opens a door to the study of higher degree L-functions," said Dennis Hejhal, Professor of Mathematics at the University of Minnesota and Uppsala University. "It's a big advance" added Harold Stark of the University of California, San Diego, who, 30 years ago was the first to accurately calculate second degree transcendental L-functions. "I thought we were years away from doing this. The geometry of what you have to do and the scale of the computation are orders of magnitude harder." Dorian Goldfeld, Professor of Mathematics at Columbia University summarized the excitement, saying ``This discovery is analogous to finding planets in remote solar systems. We know they are out there, but the problem is to detect them and determine what they look like. It gives us a glimpse of new worlds"
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Specificații

ISBN-13: 9783847314264
ISBN-10: 3847314262
Pagini: 68
Dimensiuni: 152 x 229 x 4 mm
Greutate: 0.11 kg
Editura: LAP LAMBERT ACADEMIC PUBLISHING AG & CO KG
Colecția LAP Lambert Academic Publishing

Notă biografică

I am working in computational number theory and automorph forms. Precisely, I am focusing on certifying these numerical result and using them in number-theoretic applications.