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The two-variable zeta function and the Riemann hypothesis for function fields |
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| Authors: | Machiel Van Frankenhuijsen |
| Institution: | aDepartment of Mathematics, Utah Valley University, Orem, UT 84058-5999, USA |
| Abstract: | We present Bombieri's proof of the Riemann hypothesis for the zeta function of a curve over a finite field. We first briefly describe this zeta function and discuss the two-variable zeta function of Pellikaan. Then we give Naumann's proof that the numerator of this function is irreducible. |
| Keywords: | Riemann hypothesis for a curve over a finite field Zeta function of a curve over a finite field Two-variable zeta function |
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