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Jul 3, 2015 at 2:11 comment added Atsushi Kanazawa Hi Hugo. I don't know about the book, but the relation essentially appeared in Igusa's famous paper "On Siegel modular forms of genus two". Actually $\chi_{12}$ has a similar property.
Jul 2, 2015 at 20:49 comment added Hugo Chapdelaine Hi Atsushi, may I find this relation in Klingen's book on Siegel modular forms?
Jul 1, 2015 at 20:01 comment added Atsushi Kanazawa I don't know a good reference for it, but it follows from the expression of $\chi_{10}$ in terms of the Eisenstein series of weight $4,6$ and $12$.
Jun 30, 2015 at 17:49 comment added Hugo Chapdelaine Dear Kanazawa, do you have a reference for the asymptotic identity given above. I would be quite interested to see how you proved it.
Jun 26, 2015 at 20:41 vote accept Atsushi Kanazawa
Jun 25, 2015 at 18:27 history answered Atsushi Kanazawa CC BY-SA 3.0