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Strong multiplicity theorems for 𝐺𝐿(𝑛)

Strong multiplicity theorems for 𝐺𝐿(𝑛)

Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="pi equals circled-times pi Subscript upsilon"> <mml:semantics> <mml:mrow> <mml:mi>Ο€<!-- Ο€ --></mml:mi> <mml:mo>=</mml:mo> <mml:mo>βŠ—<!-- βŠ— --></mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>Ο€<!-- Ο€ --></mml:mi> <mml:mi>Ο…<!-- Ο… --></mml:mi> </mml:msub> </mml:mrow> </mml:mrow> <mml:annotation encoding="application/x-tex">\pi = \otimes {\pi _\upsilon }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a cuspidal automorphic representation of <inline-formula content-type="math/mathml"> …