2 papers
math.GT2024
A proof of The Radial Limit Conjecture for Costantino--Geer--Patureau-Mirand Quantum invariants
William Elbæk Mistegård, Yuya Murakami
For a negative definite plumbed three-manifold, we give an integral representation of the appropriate average of the GPPV invariants of Gukov--Pei--Putrov--Vafa, which implies that…
math.NT2024
An asymptotic property on a reciprocity law for the Bettin--Conrey cotangent sum
Hirotaka Akatsuka, Yuya Murakami
In 2013 Bettin and Conrey have introduced a cotangent sum , which can be regarded as a variant of the Dedekind sum. They have discovered tha…