The zero-pole conjecture for topological zeta functions of algebras
The zero-pole conjecture for topological zeta functions of algebras
Let be a non-associative -algebra that is free of rank as an -module, where is the ring of integers in a number field . Zero-pole conjecture. The topological zeta function has a pole at zero. This is motivated by the apparent analogous pole at zero for meromorphic continuations of local subalgebra zeta functions, although no explanation is known.
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Primary source
Tobias Rossmann, “Computing topological zeta functions of groups, algebras, and modules, I”, arXiv:1405.5711 (2014).
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