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math.NT2026
An Explicit Belyi Map for the Wiman Sextic and Cusp Forms for a Noncongruence Subgroup
Madoka Horie, Takuya Yamauchi
In this paper, we explicitly determine an algebraic Belyi function on a unique smooth projective model of the Wiman sextic curve and describe its complex unifor…
math.NT2026
On explicit Fourier expansions of theta lifts to arising from elliptic newforms of level one
Henry H. Kim, Takuya Yamauchi
Using degenerate Whittaker functions and explicit computations of Eisenstein series, we obtain explicit formulas for the Fourier expansions of theta lifts to the special orthogonal…