OAI/NumberTheory/TotientAsymptotic/TupleCandidate.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.TotientAsymptotic.remainderTail_dvd_suffixline 12 - lemma
OAI.TotientAsymptotic.basic_tail_lt_all_tuple_primesline 23 - theorem
OAI.TotientAsymptotic.basic_tuple_candidate_realizesline 55Source documentation
Every basic tuple has the candidate obtained by replacing its arithmetic tail by the least inverse image of the same tail totient.
theorem basic_tuple_candidate_realizes : ∀ᶠ H : ℕ in atTop, ∀ᶠ x : ℝ in atTop, ∀ t : ℝ, ∀ τ : TotientTuple (R x H), IsBasicTuple x H t τ → (tupleLeastCandidate τ).totient=tupleValue τ := by …Mentions: OAI.TotientAsymptotic.TotientTuple, OAI.TotientAsymptotic.R, OAI.TotientAsymptotic.IsBasicTuple, OAI.TotientAsymptotic.tupleLeastCandidate, OAI.TotientAsymptotic.tupleValue