Abstract

We derive explicit formulas for the images of products of Igusa theta constants with rational characteristics under the action of regular Hecke operators. In particular, we prove that when the class number of the sum of 2k squares is one, images of products of 2k Igusa theta constants with rational characteristics under the action of regular Hecke operators are, in general, linear combinations of similar products with explicitly given coefficients.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call