Combinatorial Congruences and $ψ$-Operators
| dc.creator | Wan, Daqing | |
| dc.date | 2005-08-09 | |
| dc.date | 2005-08-16 | |
| dc.date.accessioned | 2026-07-07T05:22:17Z | |
| dc.date.available | 2026-07-07T05:22:17Z | |
| dc.description | The $ψ$-operator for $(ϕ, Γ)$-modules plays an important role in the study of Iwasawa theory via Fontaine's big rings. In this note, we prove several sharp estimates for the $ψ$-operator in the cyclotomic case. These estimates immediately imply a number of sharp $p$-adic combinatorial congruences, one of which extends the classical congruences of Fleck (1913) and Weisman (1977). | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508159 | |
| dc.identifier | http://arxiv.org/abs/math/0508159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75999 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.title | Combinatorial Congruences and $ψ$-Operators | |
| dc.type | text |