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Fields generated by sums and products of singular moduli. (arXiv:1712.06502v1 [math.NT])
来源于:arXiv
We show that the field $\Q(x,y)$, generated by two singular moduli~$x$
and~$y$, is generated by their sum ${x+y}$, unless~$x$ and~$y$ are conjugate
over~$\Q$, in which case ${x+y}$ generates a subfield of degree at most~$2$. We
obtain a similar result for the product of two singular moduli. 查看全文>>