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On the vanishing of coefficients of $\eta^{26}

math.NT · 2024-11-22 · conditional · novelty 6.0

Partial converse to Serre's vanishing criterion for η^26 coefficients: under restrictions on ord_p(12n+1), p26(25n+1)=0 exactly when two specific prime-divisibility conditions hold.

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  • On the vanishing of coefficients of $\eta^{26} math.NT · 2024-11-22 · conditional · none · ref 2

    Partial converse to Serre's vanishing criterion for η^26 coefficients: under restrictions on ord_p(12n+1), p26(25n+1)=0 exactly when two specific prime-divisibility conditions hold.