Abstract

We construct a family of rational functions

on a Hilbert modular surface from the classical j-invariant and its Hecke translates. These functions are obtained by means of a multiplicative analogue of the Doi-Naganuma lifting and can be viewed as twisted Borcherds products. We then study when the value of

at a CM point associated to a nonbiquadratic quartic CM field generates the “CM class field” of the reflex field. For the real quadratic field

, we factorize the norm of some of these CM values to

numerically.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 807-841
Launched on MUSE
2007-06-18
Open Access
No
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