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Hessian polyhedra, invariant theory and Appell hypergeometric partial differential equations
Lei Yang
It is well-known that Klein's lectures on the icosahedron and the solution of equations of fifth degree is one of the most important and influential books of 19th-century mathemati…
Geometry and arithmetic associated to Appell hypergeometric partial differential equations
Lei Yang
In this paper, we study the monodromy of Appell hypergeometric partial differential equations, which lead us to find four derivatives which are associated to the group GL(3). Our f…
Trace formulas for a class of compact complex surfaces
Lei Yang
We give the trace formulas of weight for cocompact, torsion-free discrete subgroups of and prove the analogue of the Riemann hypothesis on compact complex surfaces $…
Poincaré series and modular functions for U(n, 1)
Lei Yang
We construct infinitely many nonholomorphic automorphic forms and modular forms associated to a discrete subgroup of infinite covolume of .
Product formulas on a unitary group in three variables
Lei Yang
We obtain some basic partial differential operators connected with nonholomorphic automorphic forms on . We give the corresponding Eisenstein series of weigh…