Peng Tian

activity

20132026

most citedComputations of Galois Representations Associated to Modular Forms

4 citations · 10 across the 10 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.PR2019★ 3 cited

Joint CLT for top eigenvalues of sample covariance matrices of separable high dimensional long memory processes

Peng Tian

For $N, n \in N$ , consider the sample covariance matrix $S_{N} (T) = \frac{1}{N} X X^{*}$ from a data set $X = C_{N}^{1/2} Z T_{n}^{1/2}$ , where $Z = (Z_{i, j})$ is a $N \times n$ matrix having…

math.NT2019

Realization of Modular Galois Representations in Jacobians of modular curves

Peng Tian

In this paper, we propose an improved algorithm for computing mod $ℓ$ Galois representations associated to eigenforms of arbitrary levels prime to $ℓ$ . Precisely, we present…