{"id":"palomar/PALOMAR-2026-10-09-000003","url":"https://github.com/QuanyuTang/polya-dirichlet-simply-connected-formalization-Palomar-version/tree/ba3690bfd48618cf48da07fa4555382bd9852ff3","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-09-000003-v1.json","repo":"https://github.com/QuanyuTang/polya-dirichlet-simply-connected-formalization-Palomar-version","tags":["math.SP","math.AP","msc:35P15","msc:35J05","spectral-theory","polya-inequality","lean-formalization"],"score":0,"title":"Strict Dirichlet Pólya inequality on simply connected planar domains","trust":"high","domain":"math.SP","source":"palomar","authors":["Quanyu Tang","Zuoqin Wang"],"reviews":0,"subject":"math.SP","summary":"A Lean 4 formalization of the strict Dirichlet Pólya inequality for bounded, open, simply connected planar domains, including the indexed eigenvalue and counting formulations.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-09","reactions":{},"formalized":true,"formalizes":[{"title":"Strict Dirichlet Pólya inequality on simply connected planar domains","identifier":"https://github.com/QuanyuTang/polya-dirichlet-simply-connected-formalization-Palomar-version/blob/ef13e368542014bdce12bdc3ca45e64003f7dc6d/paper/D_simply_connected_strict_v7.tex","relationship":"formalizes"}]}