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math.NT2018
Weak Siegel-Weil formula for M_2(Q) and arithmetic on quaternions
Tuoping Du
In this paper, we prove the weak Siegel-Weil formula for the space M_2(Q) . We study the Hecke correspondence and representation numbers associated to Eichler orders, and give the…
math.NT2018
Twisted arithmetic Siegel Weil formula on X0(N)
Tuoping Du, Tonghai Yang
In this paper, we study twisted arithmetic divisors on the modular curve X_0(N) with N square-free. For each pair (Δ, r) where Δ>0 and Δ\equiv r^2 \mod 4N, we constructed a twisted…