Description:
<p>In this paper we generalize the notion of <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p">
<mml:semantics>
<mml:mi>p</mml:mi>
<mml:annotation encoding="application/x-tex">p</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>-adic modular form to the Hermitian modular case and prove a formula that shows a coincidence between certain <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p">
<mml:semantics>
<mml:mi>p</mml:mi>
<mml:annotation encoding="application/x-tex">p</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>-adic Hermitian Eisenstein series and the genus theta series associated with Hermitian matrix with determinant <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p">
<mml:semantics>
<mml:mi>p</mml:mi>
<mml:annotation encoding="application/x-tex">p</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>.</p>