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
In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part . Many consider it to be the most important unsolved problem in pu ...
. proved results for a higher-dimensional generalization of the Goss zeta function.
References
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*{{Citation , last1=Sheats , first1=Jeffrey T. , title=The Riemann hypothesis for the Goss zeta function for F
q /nowiki> , doi=10.1006/jnth.1998.2232 , mr=1630979 , year=1998 , journal=Journal of Number Theory
The ''Journal of Number Theory'' (''JNT'') is a bimonthly peer-reviewed scientific journal covering all aspects of number theory. The journal was established in 1969 by R.P. Bambah, P. Roquette, A. Ross, A. Woods, and H. Zassenhaus (Ohio State Un ...
, issn=0022-314X , volume=71 , issue=1 , pages=121–157, arxiv=math/9801158
Zeta and L-functions