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Gelfand-Graev representation and Barnes identities. The case of \(\mathrm{GL}_2\) over a finite field - MaRDI portal

Gelfand-Graev representation and Barnes identities. The case of \(\mathrm{GL}_2\) over a finite field (Q1088730)

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scientific article; zbMATH DE number 3991633
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English
Gelfand-Graev representation and Barnes identities. The case of \(\mathrm{GL}_2\) over a finite field
scientific article; zbMATH DE number 3991633

    Statements

    Gelfand-Graev representation and Barnes identities. The case of \(\mathrm{GL}_2\) over a finite field (English)
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    1986
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    This article explains in greater detail how the Barnes identities for Gaussian sums over the finite field \(\mathbb F\) were obtained in earlier papers of the author [Sémin. Delange-Pisot-Poitou, 19e Année 1977/78, Théor. des Nombres, Fasc. 1, Exp. No. 22 (1978; Zbl 0464.12010); C. R. Acad. Sci., Paris, Sér. A 286, 297--300 (1978; Zbl 0373.12009)] by studying the Gelfand-Graev representation of \(\mathrm{GL}(2, \mathbb F)\).
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    Barnes identities
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    Gaussian sums
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    finite field
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    Gelfand-Graev representation
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    GL(2, F)
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