A note on the hit problem for the polynomial algebra in the case of odd primes and its application

On a conjecture for the algebraic transfer in generic families of internal degrees

“…It should be noted that the condition µ(n) ≤ s has the useful equivalent formulation α(n + s) ≤ s, wherein α(k) is the number of 1's in the binary representation of the natural number k. This simplifies characterizing the applicable "families" of n satisfying µ(n) ≤ s. We invite readers to consult our recent works [16][17][18][20][21][22][23] for further insights into this notably challenging hit problem. Also, the readers can uncover significant insights into pressing problems within the papers written by Vince Giambalvo and Frank Peterson [5,6], Hadi Zare [36].…”