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Congruences between klingen-eisenstein series, cusp forms onU n,n · 2026 · arXiv 2603.08626

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Harder's conjecture and Hermitian automorphic forms

math.NT · 2026-06-29 · unverdicted · novelty 5.0

Conditional result showing Hermitian cusp eigenforms in specified congruences are spin lifts from Siegel forms, yielding Harder's predicted spinor L-polynomial congruences via endoscopic classification and Selmer vanishing.

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  • Harder's conjecture and Hermitian automorphic forms math.NT · 2026-06-29 · unverdicted · none · ref 41

    Conditional result showing Hermitian cusp eigenforms in specified congruences are spin lifts from Siegel forms, yielding Harder's predicted spinor L-polynomial congruences via endoscopic classification and Selmer vanishing.