Yuya Murakami

activity

20182025

most citedWitten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs

2 citations · 4 across the 11 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.GT2024

$L$ -function invariants for 3-manifolds and relations between generalized Bernoulli polynomials

Yuya Murakami

We introduce $L$ -functions attached to negative definite plumbed manifolds as the Mellin transforms of homological blocks. We prove that they are entire functions and their value…

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 $c : Q_{> 0} \to R$ , which can be regarded as a variant of the Dedekind sum. They have discovered tha…

L-function invariants for 3-manifolds and relations between generalized Bernoulli polynomials

A proof of The Radial Limit Conjecture for Costantino--Geer--Patureau-Mirand Quantum invariants

An asymptotic property on a reciprocity law for the Bettin--Conrey cotangent sum

$L$ -function invariants for 3-manifolds and relations between generalized Bernoulli polynomials