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.
References
Primary source
Tobias Rossmann, “Computing topological zeta functions of groups, algebras, and modules, I”, arXiv:1405.5711 (2014).
Progress summary
Never refreshed
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
No solutions have been posted yet.