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On the local and global exterior square \(L\) -functions of \(GL_n\)

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math.RT 1

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2026 1

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A degenerate Whittaker criterion for $\mathrm GL_{2n}$

math.RT · 2026-07-02 · unverdicted · novelty 7.0

Translates Gomez-Gourevitch-Sahi criterion into Zelevinsky data for degenerate Whittaker vanishing and shows vanishing implies Prasad's pole inequalities but converse fails via counterexamples.

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  • A degenerate Whittaker criterion for $\mathrm GL_{2n}$ math.RT · 2026-07-02 · unverdicted · none · ref 7

    Translates Gomez-Gourevitch-Sahi criterion into Zelevinsky data for degenerate Whittaker vanishing and shows vanishing implies Prasad's pole inequalities but converse fails via counterexamples.