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Clear filtersWeierstrassCurve.tateA₄_eq_evalInt
Plain-language statement
The Lambert series rearrangement ∑_{n≥1} n³qⁿ/(1-qⁿ) = ∑_{n≥1} σ₃(n)qⁿ for |q| < 1: the defining series of tateA₄ is the evaluation of the formal series a₄(q) = -5s₃(q) ∈ ℤ⟦q⟧.
Source project: Fermat's Last Theorem
Person-level attribution pending.
WeierstrassCurve.tateA₆_eq_evalInt
Plain-language statement
The Lambert series rearrangement for tateA₆, as for tateA₄_eq_evalInt; the bookkeeping of the exact division by 12 uses 12 ∣ 5d³ + 7d⁵ termwise.
Source project: Fermat's Last Theorem
Person-level attribution pending.
WeierstrassCurve.tateCurve_baseChange
Plain-language statement
The construction of the Tate curve commutes on the nose with any valuative morphism: its coefficients are power series in q with integer coefficients, and the partial sums converge at matching rates on both sides (TateCurve.evalInt_map). The same is true of the uniformisation tateCurveEquiv (a statement we defer, as it needs transport along this e...
Source project: Fermat's Last Theorem
Person-level attribution pending.