"The British inhabitants of the Malvinas Islands unquestionably enjoy civil and political rights, " Argentinian Ambassador Alicia Castro said in a statement Tuesday.
The allegation stems from an interview he apparently gave to La Nacion newspaper in 2003, in which he was quoted as saying he had "volunteered to go to the Malvinas Islands".
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".
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The law cited was passed last August and refers to ships that carry out "work related to the exploration and exploitation of natural resources, or to military vessels, within the ambit of the basin of the Malvinas Islands on the Argentinean continental platform, " Telam reported.
He has strong ties to Cristina Fernandez de Kirchner, cheering on Argentina in its sovereignty dispute with Britain over the Malvinas or Falkland Islands.
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He has referred to them using the Argentine name for the islands, Las Malvinas.
Almost every Argentine and most Latin Americans believe that in geography, history and international law the islands they call the Malvinas belong to Argentina.
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Most Argentines regard the islands, which they call Las Malvinas, as Argentine and their recovery is enshrined in the national constitution.
Argentina still claims sovereignty over the islands, which it calls Las Malvinas.
Argentina claims the islands - which it calls the Malvinas - were forcibly stripped from Argentina in "a blatant exercise of 19th Century colonialism".
The Americans' reference to the islands by their Argentinian name - the Malvinas - didn't "leave too much doubt about which way the wind may be blowing", he said.
In an open letter to Mr Cameron, published as an advert in the Guardian newspaper and the Independent, President Fernandez repeats calls for the islands - which are known as the Malvinas in Argentina - to come under the sovereignty of her nation.
Tensions have been rising as the 30th anniversary approaches of the war between Britain and Argentina over the South Atlantic islands, which are referred to in Argentina as Las Malvinas.
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