On Burgess' Bound for Primitive Roots Modulo Primes and an Application to Γ(p)

DOI10.2307/2374229zbMath0484.10003OpenAlexW2332727753MaRDI QIDQ3943021

Emil Grosswald

Publication date: 1981

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374229

zbMATH Keywords

principal congruence subgroupeffective versionBurgess' boundleast primitive root modulo primes

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40)

Related Items (10)

Explicit upper bounds for values at \(s=1\) of Dirichlet \(L\)-series associated with primitive even characters. ⋮ Resolving Grosswald's conjecture on GRH ⋮ Explicit bounds for residues of Dedekind zeta functions, values of \(L\)-functions at \(s=1\), and relative class numbers ⋮ On the computation of coefficients of modular forms: The reduction modulo $p$ approach ⋮ On Grosswald’s conjecture on primitive roots ⋮ Explicit upper bounds on the least primitive root ⋮ On the degree of irrationality in Noether’s problem ⋮ Quadratic class numbers and character sums ⋮ NORM-EUCLIDEAN CYCLIC FIELDS OF PRIME DEGREE ⋮ The least primitive root modulo \(p^2\)

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