A global approach to the Rankin-Selberg convolution for 𝐺𝐿(3,𝑍)

Type: Article

Publication Date: 1987-01-01

Citations: 16

DOI: https://doi.org/10.1090/s0002-9947-1987-0871670-7

Abstract

We discuss the Rankin-Selberg convolution on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G upper L left-parenthesis 3 comma bold upper Z right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>GL</mml:mi> <mml:mo>⁡<!-- ⁡ --></mml:mo> <mml:mo stretchy="false">(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>,</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="bold">Z</mml:mi> </mml:mrow> </mml:mrow> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">\operatorname {GL} (3,{\mathbf {Z}})</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in the ‘classical’ language of symmetric spaces and automorphic forms.

Locations

  • Transactions of the American Mathematical Society - View - PDF

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