By Toshiyuki Kikuta and Shoyu Nagaoka

We show that certain *p*-adic Eisenstein series for quaternionic modular groups of degree 2 become "real" modular forms of level *p* in almost all cases. To prove this, we introduce a *U(p)* type operator. We also show that there exists a *p*-adic Eisenstein series of the above type that has... Show more

March 14, 2011

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On $p$-adic quaternionic Eisenstein series

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