50 citations · 179 across the 40 of their papers we have counts for
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math-ph2013★ 17 cited
Algebraic Birkhoff Factorization and the Euler-Maclaurin Formula on Cones
Li Guo, Sylvie Paycha, Bin Zhang
We equip the space of lattice cones with a coproduct which makes it a connected cograded colagebra. The exponential sum and exponential integral on lattice cones can be viewed as l…
math.AP2013★ 1 cited
The canonical trace and the noncommutative residue on the noncommutative torus
Cyril Levy, Carolina Neira Jiménez, Sylvie Paycha
Using a global symbol calculus for pseudodifferential operators on tori, we build a canonical trace on classical pseudodifferential operators on noncommutative tori in terms of a c…
math.NT2013★ 3 cited
Conical zeta values and their double subdivision relations
Li Guo, Sylvie Paycha, Bin Zhang
We introduce the concept of a conical zeta value as a geometric generalization of a multiple zeta value in the context of convex cones. The quasi-shuffle and shuffle relations of m…