{"paper":{"title":"On {\\pi}-exponentials II : Closed formula for the index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Rodolphe Richard","submitted_at":"2014-03-03T22:09:38Z","abstract_excerpt":"(Quoted from the article) This article pursue the series, initiated by [Ric14], dedicated to Pulita's {\\pi}-exponentials and p-adic differential equation of rank one with coefficients a polynomial in a ultrametric extension of the field of $p$-adic numbers. We complement [Ric14] with a closed formula for the index. The \"$p$-typical\" particular case answers one problem studied in [Mor10]. We also answer a question [Rob86, {\\S}2.4] of Robba on the comparison from rational cohomology toward Dwork cohomology. We even indicate a procedure to palliate the lack of isomorphy of this comparison. We est"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0615","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}