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math.NT2012★ 4 cited
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…
math.NT2012
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…
math.NT2012
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…