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math.NT2026
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…
math.NT2026
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…