Riemann Hypothesis and strongly Ramanujan complexes from GLn

Ming-Hsuan Kang*

*Corresponding author for this work

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

We investigate the Riemann Hypothesis on combinatorial zeta functions associated to finite quotients of the affine building of GLn. We prove that if the quotient complex is strongly Ramanujan then these zeta functions satisfy the Riemann Hypothesis. On the other hand, we show that the converse statement is also true provided the extra generic condition. In the end, we give an example to show that this generic condition is indeed necessary.

原文English
頁(從 - 到)281-297
頁數17
期刊Journal of Number Theory
161
DOIs
出版狀態Published - 16 十二月 2014

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