Wei Wang

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20242026

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math.AT2025

On some Gromoll filtration groups and fundamental groups of $Diff_{\partial} (D^{n})$

Wei Wang

In this paper, we compute some Gromoll filtration groups $Γ_{i + 1}^{n + 1}$ for certain $i$ when $8 \leq n \leq 17$ and $n = 4 k + 2 \geq 18$ . Using these results, we obtain some new informa…

math.NT2025

Evaluation of reciprocal sums of hyperbolic functions using quasimodular forms

Wei Wang

This paper studies eight families of infinite series involving hyperbolic functions. Under some conditions, these series are linear combinations of derivatives of Eisenstein series…

On some Gromoll filtration groups and fundamental groups of Diff∂​(Dn)

Evaluation of reciprocal sums of hyperbolic functions using quasimodular forms

On some Gromoll filtration groups and fundamental groups of $Diff_{\partial} (D^{n})$