Theorems · Definition · number theory
PowerSeries.pentagonalSeries
(R : Type u_1) → [CommRing R] → PowerSeries R
The power series $\sum_{k=-\infty}^{\infty}(-1)^k x^{k * (3k - 1) / 2}$.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Units.valproof · cited by 1,966
- PowerSeriesstatement · cited by 797
- Int.negOnePowproof · cited by 156
- PowerSeries.mkproof · cited by 52
- pentagonalproof · cited by 19
Cited by10
Results whose statement or proof uses this declaration.
- PowerSeries.WithPiTopology.hasSum_pentagonalSeriesstatement and proof · cited by 2
- PowerSeries.coeff_pentagonalSeries_eq_zerostatement · cited by 1
- PowerSeries.coeff_pentagonalSeries_pentagonalstatement · cited by 1
- PowerSeries.coeff_prod_one_sub_X_pow_eventually_eqstatement and proof · cited by 1
- PowerSeries.WithPiTopology.hasProd_one_sub_X_powstatement and proof · cited by 1
- PowerSeries.WithPiTopology.hasSum_pow_pentagonal_sub_pentagonalSeriesstatement and proof · cited by 1
- PowerSeries.WithPiTopology.pentagonalSeries_eq_tsumstatement · cited by 0
- PowerSeries.WithPiTopology.pentagonalSeries_eq_tsum_pow_pentagonal_substatement · cited by 0
- PowerSeries.coeff_pentagonalSeries_eq_zero_iffstatement · cited by 0
- PowerSeries.WithPiTopology.tprod_one_sub_X_powstatement · cited by 0