Open Research Index

Odd zeta values and powers of pi

Patrick Lopatto

Palomar Registrypalomar/PALOMAR-2026-11-01-000015Nov 1, 2026math.NTscore 0

Lean proofs of three-Lambert-series formulas for pi^(4m-1), pi^(4m+1), zeta(4m-1) and zeta(4m+1), for m>=1, together with a separate formula for pi and the signs of the rational denominator coefficients.

SourceRepositoryJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/palomar/PALOMAR-2026-11-01-000015
curl -X POST /api/v1/records/palomar/PALOMAR-2026-11-01-000015/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-11-01-000015/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'