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math.AG2018
The modular Cauchy kernel for the Hilbert modular surface
Nina Sakharova
In this paper we construct the modular Cauchy kernel on the Hilbert modular surface , i.e. the function of two variables, $(z_1, z_2) \in \mat…
math.AG2018
Modular Cauchy kernel corresponding to the Hecke curve
Nina Sakharova
In this paper we construct the modular Cauchy kernel , i.e. the modular invariant function of two variables, , with the…
math.AG2015
Convergence of the Zagier type series for the Cauchy kernel
Nina Sakharova
In 1975 prof. Don Zagier derived a preliminary formula for the trace of the Hecke operators acting on the space of cusp forms (\cite{5}, \cite{6}). Actually, it is an expression in…