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cubic characters 1large sieve 1metaplectic theta functions 1quartic characters 1rankin-selberg 1

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1 paper

math.NT2026

Non-orthogonality of the cubic and quartic large sieves via Rankin-Selberg

Alexandre de Faveri, Alexander Dunn, Jeffrey Hoffstein

The paper proves that cubic and quartic large sieve families are not perfectly orthogonal, showing the obstruction comes from bias in Gauss sums and providing analytic bounds via R…