Goss zeta function
Encyclopedia
In the field of mathematics, the Goss zeta function, named after David Goss
, is an analogue of the Riemann zeta function for function fields
. proved that it satisfies an analogue of the Riemann hypothesis
.
David Goss
David Mark Goss is a mathematician, a professor in the department of mathematics at The Ohio State University, and the editor-in-chief of the Journal of Number Theory. He received his B.S. in mathematics in 1973 from University of Michigan and his Ph.D...
, is an analogue of the Riemann zeta function for function fields
Function field of an algebraic variety
In algebraic geometry, the function field of an algebraic variety V consists of objects which are interpreted as rational functions on V...
. proved that it satisfies an analogue of the Riemann hypothesis
Riemann hypothesis
In mathematics, the Riemann hypothesis, proposed by , is a conjecture about the location of the zeros of the Riemann zeta function which states that all non-trivial zeros have real part 1/2...
.