4 citations · 6 across the 6 of their papers we have counts for
6 papers
Differential Operators for Siegel-Jacobi forms
Jiong Yang, Linsheng Yin
For any positive integers and , is called the Siegel-Jacobi space, with the Jacobi group acting on it. The Jacobi fo…
On the computation of coefficients of modular forms: the reduction modulo p approach
Jinxiang Zeng, Linsheng Yin
In this paper we present a probabilistic algorithm to compute the coefficients of modular forms of level one. Focus on the Ramanujan's tau function, we give out the explicit comple…
Derivations of Siegel Modular Forms from Connections
Enlin Yang, Linsheng Yin
We introduce a method in differential geometry to study the derivative operators of Siegel modular forms. By determining the coefficients of the invariant Levi-Civita connection on…
Factoring integer using elliptic curves over rational number field
Xiumei Li, Jinxiang Zeng
For the integer of the product of two distinct odd primes, we construct an elliptic curve over , where is a parameter dependent on the…
Galois Groups and Genera of a kind of Quasi-cyclotomic Function Fields
Min Sha, Linsheng Yin
We call a (q-1)-th Kummer extension of a cyclotomic function field a quasi-cyclotomic function field if it is Galois, but non-abelian, over the rational function field with the con…
Irreducible representations and Artin L-functions of quasi-cyclotomic fields
Sunghan Bae, Yong Hu, Linsheng Yin
We determine all irreducible representations of primary quasi-cyclotomic fields in this paper. The methods can be applied to determine the irreducible representations of any quasi-…