I have seen some results about the distribution and in particular number of zeros (in a fundamental domain) of a modular form on the upper half plane. Are there similar results about modular forms considered as holomrphic functions on Siegel upper half space?
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2$\begingroup$ In the higher-dimensional case the vanishing is going to be along subvarieties of positive dimension, not isolated point, so questions about "number" will need to be phrased very carefully. $\endgroup$– JSECommented Jun 11, 2011 at 12:59
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$\begingroup$ Where did you read about these results? $\endgroup$– Maarten DerickxCommented Oct 9, 2015 at 12:41
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