2 citations · 4 across the 11 of their papers we have counts for
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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…
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…
Extended-cycle integrals of modular functions for badly approximable numbers
Yuya Murakami
Cycle integrals of modular functions are expected to play a role in real quadratic analogue of singular moduli. In this paper, we extend the definition of cycle integrals of modula…
Hurwitz class numbers with level and modular correspondences
Yuya Murakami
In this paper, we prove Hurwitz-Eichler type formulas for Hurwitz class numbers with each level when the modular curve has genus zero. A key idea is to calculate i…
A continuity of cycle integrals of modular functions
Yuya Murakami
In this paper we study a continuity of the "values" of modular functions at the real quadratic numbers which are defined in terms of their cycle integrals along the associated clos…
Intersection numbers of modular correspondences for genus zero modular curves
Yuya Murakami
In this paper, we introduce modular polynomials for the congruence subgroup when has genus zero and therefore the polynomials are defined by a Hauptmodul of $ X…