Theorems · Theorem · number theory
EisensteinSeries.summand_bound
∀ (z : UpperHalfPlane) {k : ℝ},
0 ≤ k → ∀ (x : Fin 2 → ℤ), ‖↑(x 0) * ↑z + ↑(x 1)‖ ^ (-k) ≤ EisensteinSeries.r z ^ (-k) * ‖x‖ ^ (-k)Upper bound for the summand |c * z + d| ^ (-k), as a product of a function of z and a
function of c, d.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
- EisensteinSeries.summable_norm_eisSummandproof · cited by 4
- EisensteinSeries.summand_bound_of_mem_verticalStripproof · cited by 2