Bound for the sum involving the Jacobi symbol in \(\mathbb Z[i]\)

DOI10.7169/facm/1254330160zbMath1263.11102OpenAlexW2068074592MaRDI QIDQ1038620

Kazuhiro Onodera

Publication date: 18 November 2009

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1254330160

zbMATH Keywords

generalization of Heath-Brown's character sum estimate.sum involving the Jacobi symbol in complex field

Mathematics Subject Classification ID

Estimates on character sums (11L40) Other analytic theory (11R47) Sieves (11N35)

Related Items (4)

A quadratic large sieve inequality over number fields ⋮ Moments of quadratic Hecke \(L\)-functions of imaginary quadratic number fields ⋮ Moments of central values of quartic Dirichlet \(L\)-functions ⋮ One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions

Cites Work

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• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• Averages of twisted elliptic L-functions
• A mean value estimate for real character sums

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