2 papers
math.NT2025
A framework for proving quantum modularity: Application to Witten's asymptotic expansion conjecture
Yuya Murakami
We address two linked problems at the interface of quantum topology and number theory: deriving asymptotic expansions of the Witten--Reshetikhin--Turaev invariants for 3-manifolds…
math.GT2024
-function invariants for 3-manifolds and relations between generalized Bernoulli polynomials
Yuya Murakami
We introduce -functions attached to negative definite plumbed manifolds as the Mellin transforms of homological blocks. We prove that they are entire functions and their value…