Exact formula for v_q(σ_k(n)) derived via LTE lemma and cyclotomic polynomials, yielding improved upper bound over Zhao for large n and k ≥ q-2.
LUCAS, Théorie des fonctions numériques simplement périodiques [Continued],Amer
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A note on the $q$-adic valuation of $\sigma_k(n)$
Exact formula for v_q(σ_k(n)) derived via LTE lemma and cyclotomic polynomials, yielding improved upper bound over Zhao for large n and k ≥ q-2.