1 citations · 1 across the 8 of their papers we have counts for
8 papers
The triality of the twisted discrete trace formula for PGSO(8)
Tuoping Du, Zhifeng Pen, Haoyang Wan
In this paper, we establish the triality twisted trace formula for PGSO(8), including its discrete part, and obtain a coarse classification of its automorphic representations by co…
On the central derivatives of l-functions and modularity of heenger cycles
Tuoping Du, Zhifeng Peng
This paper establishes an arithmetic intersection formula for central L-derivatives in higher weights.We prove that for a general cusp form (extending the previous result for newfo…
On the arithmetic inner product formula and central derivatives of L-functions
Tuoping Du
This research provides a formal definition of the arithmetic theta lift for cusp forms of weight and establishes the arithmetic inner product formula, thereby completing the…
An exact way to verify whether n is a congruent number using Heegner points
Heng Chen, Rong Ma, Tuoping Du
We introduce the relationship between congruent numbers and elliptic curves, and compute the conductor of the elliptic curve associated with it. Furthermore, we…
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…
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…