In this paper, we study the asymptotics of the equivariant analytic torsions for a certain sequence of flat vector bundles over a compact locally symmetric space. Our approach is combining the twisted trace formula with an explicit geometric formula for the twisted orbital integrals. We show that the leading term of asymptotic equivariant analytic torsion is given in terms of W-invariants with oscillating coefficients.

中文翻译：

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紧局部对称空间的渐近等变实解析扭转

在本文中，我们研究了在紧凑局部对称空间上的特定平面向量丛序列的等变解析扭的渐近性。我们的方法是将扭曲轨迹公式与扭曲轨道积分的显式几何公式相结合。我们表明渐近等变解析扭转的前导项是根据具有振荡系数的W 不变量给出的。