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math.NT2015
The algebraic functional equation of Riemann's theta function
Luca Candelori
We give an algebraic analog of the functional equation of Riemann's theta function. More precisely, we define a `theta multiplier' line bundle over the moduli stack of principally…
math.NT2015
Vector valued modular forms and the modular orbifold of elliptic curves
Luca Candelori, Cameron Franc
This paper presents the theory of holomorphic vector valued modular forms from a geometric perspective. More precisely, we define certain holomorphic vector bundles on the modular…