From the BBC:
Our correspondent said there was now a "diplomatic stand off" because Argentina's view is that the referendum is illegitimate and will have no bearing on their claim because they see the islanders as occupiers, rather than residents.
Ms Fernandez says her letter is published on the same date - 3 January - when, 180 years ago: "Argentina was forcibly stripped of the Malvinas Islands, which are situated 14,000 km (8,700 miles) away from London".
She goes on: "The Argentines on the Islands were expelled by the Royal Navy and the United Kingdom subsequently began a population implantation process similar to that applied to other territories under colonial rule.
"Since then, Britain, the colonial power, has refused to return the territories to the Argentine Republic, thus preventing it from restoring its territorial integrity."
In her final paragraph, she ends: "In the name of the Argentine people, I reiterate our invitation for us to abide by the resolutions of the United Nations."
The Falkland Islands has a population of around 3,000 people
Argentina says it inherited ownership of the islands from Spain, arguing that British colonists occupied the islands by force in 1833 and expelled settlers, violating Argentina's territorial integrity.
BBC News - UK prime minister rebuffs Argentina over Falklands
We won't reclaim the Sebald Islands. I promise.