Proof step
Affine, reversal and Möbius substitutions (elementary)
Image under a real-rootedness preserver reversal, shift 0
- Concludes
- reversal of Table a(d,m) of number of points of L1 norm m in cubic lattice Z^d, read by antidiagonals (d >= 1, m >= 0).
- Premises
- Table a(d,m) of number of points of L1 norm m in cubic lattice Z^d, read by antidiagonals (d >= 1, m >= 0).
sequence: Every row P_n, n >= 1, is zero or real-rooted with all roots in (-inf, 0]
- Table a(d,m) of number of points of L1 norm m in cubic lattice Z^d, read by antidiagonals (d >= 1, m >= 0).
- Theorem
- polytool ?
- Lean
- RealRooted
route
reversedRealRooted.X_pow_mul_reverse_eq_zero_or_splits,RealRooted.reflect_eq_zero_or_splits - Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-f72dbde7dbe45bf5· JSON- Operation
- Image under a real-rootedness preserver
{ "index_shift": 0, "operation": "preserver_image", "operator": "{\"shape\":\"reversal\",\"schedule\":{\"first_index\":1,\"first_degree\":0,\"step\":1}}" } - Claims
{ "claim": "real_rooted", "from_index": 1, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
preserver_image, SHA-256146ceba97538ebcf190bc6af77ee5e61e6783d98f4ff0ecefb0f7e99f828131b, 20,944 bytes (4,949 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-63c9448cec96afa7(real_rooted)n-63c9448cec96afa7(one_signed_coefficients)n-63c9448cec96afa7(hadamard_kernel)