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Periods of the <i>j</i> -function along infinite geodesics and mock modular forms

Periods of the <i>j</i> -function along infinite geodesics and mock modular forms

Zagier's well-known work on traces of singular moduli relates the coefficients of certain weakly holomorphic modular forms of weight $1/2$ to traces of values of the modular $j$-function at imaginary quadratic points. A real quadratic analogue was recently studied by Duke, Imamo\=glu, and T\'oth. They showed that the coefficients of …