The letters released on Thursday were sent to powerful US senators John McCain and Carl Levin.
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Some US senators claimed to have been alerted to the problem by their children amid the popularity of the first release.
The three US senators also wrote to the head of Sony Pictures Entertainment shortly before Christmas saying the film was "inaccurate".
The prime minister has also agreed to meet four US senators to discuss their concerns over the release of the Lockerbie bomber last year.
Last month a group of US senators demanded Mr Hajiyev's release.
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Reid and nine US senators, most of them Democrats, returned Tuesday from a week long trip to China to meet with Central Bank and other officials, including some business leaders.
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Four US senators are calling for an investigation into allegations that oil firm BP lobbied for the early freeing of Abdelbaset al-Megrahi, who was convicted of the 1988 bombing of Pan Am Flight 103 which killed 270 people.
However, the latest news out of Congress strikes us as inconceivable, as 18 Democratic senators are seeking a formal investigation into Transocean for a dividend declared more than two months before the accident.
In the halls of the US Senate, a bipartisan group of senators is close to a deal on legislation that would require tough border security measures to be in place before undocumented immigrants could gain legal status.
And I thank Senators Schumer and Graham for working with us to forge a bipartisan consensus on a framework for moving forward, and I welcome the commitment of House and Senate Democratic leaders to take action.
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And I think one thing that the news reports remind us of is that when American Presidents, American senators and congressmen and would-be leaders go abroad, what they say is placed under a magnifying glass and it carries great impact.
The rallies came two weeks after a bipartisan group of senators introduced legislation in Washington that could overhaul US immigration rules.
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"No group of people can be put above the other and this is unacceptable for us, " said Alena Dernerova, one of the senators behind the complaint.
Still, the roll call will show voters where senators stand, "and then the rest of us have to decide just how we feel about people and their stance, " Bloomberg said.
Is there anything more you can -- now that the administration is briefing senators on this, is there anything more you can tell us?
But as Senators, we know that the dangers of the world constantly threaten us.
Former Presidents Bill Clinton and Jimmy Carter, along with dozens of senators, congressional leaders and other dignitaries have attended the event at the US Capitol.
Under the White House and senators' plans, undocumented immigrants would be allowed to live and work in the US legally as long as they pass background checks and pay back-taxes.
Moderate Republican Senators reduced the tax cut - which Mr Bush believes is essential for reviving the US economy - but half, on the grounds that it would create too large a budget deficit.
On Tuesday, the US president championed the proposals outlined a day earlier by a group of four Democratic and four Republican senators.
But the senators' proposals would allow undocumented immigrants to start the process of becoming citizens only after US borders are deemed secure, a link that did not feature in the president's plan.
It doesn't take the intellect of a US Senator to notice that there's something wrong with our patent system, but it looks like those Senators might finally do something about it.
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