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On the spectral zeta functions of the Laplacians on the projective complex spaces and on the n-spheres
Journal of Number Theory ( IF 0.6 ) Pub Date : 2020-03-01 , DOI: 10.1016/j.jnt.2019.07.020
Mounir Hajli

Abstract We present a powerful method for the calculation of heat-kernel coefficients of the Laplacian on the projective complex spaces endowed with the Fubini-Study metric, and also for the Laplacian on the n-spheres equipped with the standard metric. Formulas for the regularized determinants are also given. Our formula in the case of the n-sphere recovers the result of Choi and Quine.

中文翻译:

关于拉普拉斯算子在射影复空间和 n 球面上的谱 zeta 函数

摘要 我们提出了一种计算具有Fubini-Study度量的射影复空间上的拉普拉斯算子的热核系数的强大方法,以及具有标准度量的n球上的拉普拉斯算子的热核系数的计算方法。还给出了正则化行列式的公式。我们在 n 球体情况下的公式恢复了 Choi 和 Quine 的结果。
更新日期:2020-03-01
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