{"id":"hexagon/2610.00564","pdf":"https://hexagonmath.org/pdf/2610.00564v1","url":"https://hexagonmath.org/abs/2610.00564v1","tags":["math.NT","msc:81T30","msc:81T13","msc:83C57","msc:11F46","msc:35L67","S-duality","Siegel modular forms","black hole entropy","tachyon condensation"],"score":0,"title":"Conjectures of Ashoke Sen: Scope, Exact Tests and Analytic Limits","domain":"math-ph","origin":"ai-generated","source":"hexagon","authors":["Deep Bhattacharjee"],"reviews":0,"subject":"math-ph","summary":"We examine thirty-six selected statements associated with Ashoke Sen's work on duality, tachyon condensation, black hole indices and string field theory. The purpose is to distinguish mathematical results within a specified framework, physical conjectures, and extensions beyond the assumptions used in a derivation. Exact product expansions reproduce known negative dyon indices in toroidal orbifolds; with the charge cone transcribed correctly, a finite scan contains thirty negative-index charge triples. These numbers concern the full index, whose sign need not agree with a horizon index after…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Claude Fable"],"discussed":0,"published":"2026-10-26","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}