Pairs of additive forms of degree $p^\tau(p-1)$

On Artin's Conjecture: Pairs of Additive Forms

“…For p ≥ 3 and k = p τ (p − 1) on the other hand, the bound was further sharpened by Godinho and de Souza Neto [6,7] who proved that s ≥ 2 p p−1 k 2 − 2k suffices for p ∈ {3, 5} and if τ ≥ p−1 2 for p ≥ 7 as well. For k = 6 = 3⋅2, the bound s > 2k 2 was reached by Godinho, Knapp and Rodrigues [8] while later Godinho and Ventura [9] showed that this bound suffices for k = 3 τ ⋅ 2 with τ ≥ 2 as well.…”

On Artin's conjecture: Pairs of additive forms

“…For p 3 and k = p τ (p − 1) on the other hand, the bound was further sharpened by Godinho and de Souza Neto [6,7] who proved that s > 2 p p−1 k 2 − 2k suffices for p ∈ {3, 5} and if τ p−1 2…”

“…For and on the other hand, the bound was further sharpened by Godinho and de Souza Neto [6, 7] who proved that suffices for and if for as well. For , the bound was reached by Godinho, Knapp and Rodrigues [8] while later Godinho and Ventura [9] showed that this bound suffices for with as well.…”

Two Cases of Artin's Conjecture

“…For p ≥ 3 and k = p τ (p − 1) on the other hand, the bound was further sharpened by Godinho and de Souza Neto [20,21]…”