Journal of the Ramanujan Mathematical Society

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A Rank Two Zeta and its Zeros


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1 Graduate School of Mathematics, Kyushu University, Fukuoka 812-8581, Japan
     

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This is an integrated part of our on-going study about high rank zeta functions for number fields. We here give a detailed account of these zetas when the rank is two. In particular, we show that all zeros of them lie on the central line Re=1/2.
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  • A Rank Two Zeta and its Zeros

Abstract Views: 167  |  PDF Views: 0

Authors

Lin Weng
Graduate School of Mathematics, Kyushu University, Fukuoka 812-8581, Japan

Abstract


This is an integrated part of our on-going study about high rank zeta functions for number fields. We here give a detailed account of these zetas when the rank is two. In particular, we show that all zeros of them lie on the central line Re=1/2.