Abstract:In [5], Chen and Yui conjectured that Gross–Zagier type formulas may also exist for Thompson series. In this work, we verify Chen and Yui’s conjecture for the cases for Thompson series
$j_{p}(\tau )$
for
$\Gamma _{0}(p)$
for p prime, and equivalently establish formulas for the prime decomposition of the resultants of two ring class polynomials associated to
$j_{p}(\tau )$
and imaginary quadratic fields and the prime de… Show more
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