The Goss zeta function stands as a primary contribution to the field of algebraic number theory, established by the American mathematician David Mark Goss during his active career. His work on function fields remains a significant reference point within modern mathematical literature, reflecting a lifetime of dedication to the study of analytic continuation and complex arithmetic structures.
Academic Foundations and Early Career
Born on April 20, 1952, David Goss pursued his higher education at the University of Michigan, where he earned a B.S. in mathematics in 1973. He continued his studies at Harvard University, completing his Ph.D. in 1977 under the supervision of Barry Mazur. Before settling at Ohio State University, he held academic positions at several institutions, including Princeton University, Harvard University, the University of California, Berkeley, and Brandeis University.
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Goss specialized in the arithmetic of function fields. His 1996 publication, Basic Structures of Function Field Arithmetic, provided a comprehensive overview of the field. His research articles include "The algebraist's upper half-plane" published in 1980 and a 1981 paper detailing an approach to the analytic continuation and values at negative integers for the Riemann zeta function. He also authored "Units and class-groups in the arithmetic theory of function fields" in 1985 and "A formal Mellin transform in the arithmetic of function fields" in 1991.
Professional Service and Recognition
Throughout his tenure at Ohio State University, Goss served as the editor-in-chief of the Journal of Number Theory, overseeing the publication of advanced mathematical research. He was a member of the American Mathematical Society and was designated a fellow of the society in 2013. His professional work concluded with his death on April 4, 2017, at the age of 64. He is buried at the Green Lawn Cemetery.
Fast facts
- Born: April 20, 1952
- Died: April 4, 2017
- Alma Mater: University of Michigan and Harvard University
- Academic Field: Mathematics and algebraic number theory
- Key Publication: Basic structures of function field arithmetic (1996)
- Professional Role: Editor-in-chief of the Journal of Number Theory
- Recognition: Fellow of the American Mathematical Society (2013)
- Burial Site: Green Lawn Cemetery
Questions readers ask
What is the Goss zeta function?
It is a mathematical function introduced by David Goss during his research into the arithmetic of function fields.
Where did David Goss teach?
He held positions at Ohio State University, Princeton University, Harvard University, the University of California, Berkeley, and Brandeis University.
Achievements
- Held posts at Princeton University, Brandeis University and University of California, Berkeley
- Fields: mathematics, function and zeta function
