Yifan Yang

activity

20052026

most citedSchwarzian differential equations and Hecke eigenforms on Shimura curves

24 citations · 103 across the 35 of their papers we have counts for

collaborators

Showing 2011Show all

4 papers · 1 filter

math.NT2011★ 3 cited

Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves

Fang-Ting Tu, Yifan Yang

In this paper, we will obtain new algebraic transformations of the $_{2} F_{1}$ -hypergeometric functions. The main novelty in our approach is the interpretation of identities among $_2F…

math.NT2011★ 24 cited

Schwarzian differential equations and Hecke eigenforms on Shimura curves

Yifan Yang

Let $X$ be a Shimura curve of genus zero. In this paper, we first characterize the spaces of automorphic forms on $X$ in terms of Schwarzian differential equations. We then devise…

math.NT2011★ 2 cited

Jacobsthal identity for Q(sqrt(-2))

Ki-Ichiro Hashimoto, Ling Long, Yifan Yang

Let $p$ be a prime congruent to 1 or 3 modulo 8 so that the equation $p = a^{2} + 2 b^{2}$ is solvable in integers. In this paper, we obtain closed-form expressions for $a$ and $b$ in terms…

math.NT2011★ 2 cited

Modular forms of half-integral weights on SL(2,Z)

Yifan Yang

In this paper, we prove that, for an integer $r$ with $(r, 6) = 1$ and $0 < r < 24$ and a nonnegative even integer $s$ , the set {η(24τ)^rf(24τ):f(τ)\in M_s(1)} is isomorphic to S_{r+2s-1}…