10 citations · 42 across the 33 of their papers we have counts for
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Zeta functions for and their zeros
Masatoshi Suzuki, Lin Weng
The exceptional group has two maximal parabolic subgroups , corresponding to the so-called long root and short root. In this paper, the second author in…
Symmetries and the Riemann Hypothesis
Lin Weng
Associated to classical semi-simple groups and their maximal parabolics are genuine zeta functions. Naturally related to Riemann's zeta and governed by symmetries, including that o…
Arthur's Periods, Regularized Integrals and Refined Structures of Non-Abelian L-Functions
Lin Weng
We first study geometrically oriented truncation associated with stability along the line of Arthur's analytic truncation. Then, we give a detailed discussion on the so-called Abel…
Rank Two Non-Abelian Zeta and Its Zeros
Lin Weng
In this paper, we first reveal an intrinsic relation between non-abelian zeta functions and Epstein zeta functions for algebraic number fields. Then, we expose a fundamental relati…
Non-Abelian L Functions for Function Fields
Lin Weng
This is an integrated part of our Geo-Arithmetic Program. In this paper we initiate a geometrically oriented construction of non-abelian zeta functions for curves defined over fini…