The Burgess inequality and the least kth power non-residue
From MaRDI portal
Publication:2942532
DOI10.1142/S1793042115400163zbMath1377.11091arXiv1412.3062OpenAlexW2137830338MaRDI QIDQ2942532
Publication date: 11 September 2015
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.3062
Related Items
Explicit bounds on exceptional zeroes of Dirichlet \(L\)-functions ⋮ Partial Gaussian sums and the Pólya-Vinogradov inequality for primitive characters ⋮ The least quadratic non-residue ⋮ An explicit upper bound for \(L(1,\chi)\) when \(\chi\) is quadratic ⋮ SHORT CHARACTER SUMS AND THEIR APPLICATIONS ⋮ On the second smallest prime non-residue ⋮ A refinement of the Burgess bound for character sums ⋮ Quadratic nonresidues below the Burgess bound ⋮ An explicit Pólya-Vinogradov inequality via Partial Gaussian sums ⋮ The Euclidean algorithm in quintic and septic cyclic fields ⋮ Resolving Grosswald's conjecture on GRH ⋮ The least prime quadratic nonresidue in a prescribed residue class mod 4 ⋮ The least \(k\)-th power non-residue ⋮ On Grosswald’s conjecture on primitive roots ⋮ An investigation into explicit versions of Burgess' bound ⋮ Explicit upper bounds on the least primitive root ⋮ On a sum involving the Euler function ⋮ An elementary bound on Siegel zeroes ⋮ Explicit bounds for small prime nonresidues ⋮ Trinomials, singular moduli and Riffaut's conjecture
Cites Work
- Unnamed Item
- Unnamed Item
- The least \(k\)-th power non-residue
- The least quadratic non residue
- NORM-EUCLIDEAN CYCLIC FIELDS OF PRIME DEGREE
- The distribution of quadratic residues and non‐residues
- On Character Sums and Primitive Roots†
- The Character Sum Estimate with r = 3
- Quadratic class numbers and character sums
- The Error Term for the Squarefree Integers
- Numbers with small prime factors, and the least 𝑘th power non-residue
- A Note on the Distribution of Residues and Non-Residues
- On Character Sums and L -Series. II
- On Some Exponential Sums
