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math.NT2025★ 1 cited
A Lyapunov exponent attached to modular functions
Paloma Bengoechea, Sebastián Herrero, Özlem Imamoglu
To each weakly holomorphic modular function for , which is non-negative on the geodesic arc , we attach…
math.NT2018
Values of modular functions at real quadratics and conjectures of Kaneko
Paloma Bengoechea, Ozlem Imamoglu
In 2008, M. Kaneko made several interesting observations about the values of the modular j invariant at real quadratic irrationalities. The values of modular functions at real quad…
math.NT2017★ 1 cited
Modularity of generating series of winding numbers
Jan H. Bruinier, Jens Funke, Özlem Imamoglu +1
The Shimura correspondence connects modular forms of integral weights and half-integral weights. One of the directions is realized by the Shintani lift, where the inputs are holomo…