4 citations · 8 across the 9 of their papers we have counts for
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Bound the difference of two singular moduli
Yulin Cai
For a fixed singular modulus , we give an effective lower bound of norm of for another singular modulus with large discriminant. We then generalize this result for $Φ_…
Integral points on the modular curves
Yulin Cai
In this paper, we give an explicit bound for the height of integral points on by using a very explicit version of the Chevalley-Weil principle. We improve the bound given…
An explicit bound for integral points on modular curves
Yulin Cai
In this paper, we give a constant in \cite[Theorem 1.2]{sha2014bounding} by using an explicit Baker's inequality, hence we have an explicit bound of the integral points on modu…
On harmonic numbers and nonlinear Euler sums
Ce Xu, Yulin Cai
In this paper we are interested in Euler-type sums with products of harmonic numbers, Stirling numbers and Bell numbers. We discuss the analytic representations of Euler sums throu…