It was the first time a US president had been convicted of or charged with a criminal offence.
MrTrump had tried to cover up “hush money” payments to a porn star in the days before the 2016 election.
When Stormy Daniels‘ claimsof a sexual liaison threatened to upend his presidential campaign, Trump directed his lawyer to pay $130,000 (£102,000) to keep her quiet.
A judge delayed Mr Trump’s scheduled 26 November sentencing indefinitely last month to give him the chance to seek dismissal.
A dismissal would erase Mr Trump’s historic conviction, sparing him of a criminal record and possible prison sentence.
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The judge could also decide to uphold the verdict and proceed to sentencing, delay the case until Mr Trump leaves office, wait until a federal appeals court rules on Trump’s parallel effort to get the case moved out of state court or choose some other option.
The president-elect’s lawyers argue having the case loom over his four-year presidential term that begins on 20 January would cause “unconstitutional impediments” to his ability to govern.
Prosecutors have until 9 December to respond.
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1:02
Starmer on relationship with Trump
The filing references the pardon Joe Biden issued to his son on Monday, in which the president said Hunter Biden was “unfairly prosecuted” on gun and tax charges.
Mr Trump’s lawyers said: “President Biden argued that ‘raw politics has infected this process and it led to a miscarriage of justice’. These comments amounted to an extraordinary condemnation of President Biden’s own DOJ [department of justice]”.
The Manhattan District Attorney Alvin Bragg “has engaged in ‘precisely the type of political theatre’ that President Biden has condemned”, the filing added.
“This case is based on a contrived, defective, and unprecedented legal theory relating to 2017 entries in documents that were maintained hundreds of miles away from the White House where President Trump was running the country.”
The district attorney’s “disruptions to the institution of the presidency violate the presidential immunity doctrine because they threaten the functioning of the federal government,” the filing said.
The prosecutors’ “ridiculous suggestion that they could simply resume proceedings after President Trump leaves office, more than a decade after they commenced their investigation in 2018, is not an option,” the filing claimed.
Mr Trump’s lawyers also claimed the case should be thrown out because of his “extraordinary service” to the US, adding that his “civil and financial contributions to this city and the nation are too numerous to count”.
The president-elect has said he intends to nominate the lawyers who wrote the filing – Todd Blanche and Emil Bove – to top jobs in the justice department, which they criticise in the documents.
Melania Trump has threatened to sue Hunter Biden for more than $1bn (£736.5m) in damages if he does not retract comments linking her to Jeffrey Epstein.
Mr Biden, who is the son of former US president Joe Biden, alleged in an interview this month that sex trafficker Epstein introduced the first lady to President Donald Trump.
“Epstein introduced Melania to Trump. The connections are, like, so wide and deep,” he claimed.
Ms Trump’s lawyer labelled the comments false, defamatory and “extremely salacious” in a letter to Mr Biden.
Image: Hunter Biden. File pic: AP
Her lawyer wrote that the first lady suffered “overwhelming financial and reputational harm” as the claims were widely discussed on social media and reported by media around the world.
The president and first lady previously said they were introduced by modelling agent Paolo Zampolli at a New York Fashion Week party in 1998.
Mr Biden attributed the claim that Epstein introduced the couple to author Michael Wolff, who was accused by Mr Trump of making up stories to sell books in June and was dubbed a “third-rate reporter” by the president.
The former president’s son doubled down on his remarks in a follow-up interview with the same YouTube outlet, Channel 5 with Andrew Callaghan, entitled “Hunter Biden Apology”.
Asked if he would apologise to the first lady, Mr Biden responded: “F*** that – that’s not going to happen.”
He added: “I don’t think these threats of lawsuits add up to anything other than designed distraction.”
Ms Trump’s threat to sue Mr Biden echoes a strategy employed by her husband, who has aggressively used legal action to go after critics.
Public figures like the Trumps must meet a high bar to succeed in a defamation suit like the one that could be brought by the first lady if she follows through with her threat.
In his initial interview, Mr Biden also hit out at “elites” and others in the Democratic Party, who he claims undermined his father before he dropped out of last year’s race for president.
This comes as pressure on the White House to release the Epstein files has been mounting for weeks, after he made a complete U-turn on his administration’s promise to release more information publicly.
The US Justice Department, which confirmed in July that it would not be releasing the files, said a review of the Epstein case had found “no incriminating ‘client list'” and “no credible evidence” the jailed financier – who killed himself in prison in 2019 – had blackmailed famous men.
But there are fears they will discuss a deal robbing Ukraine of the land currently occupied by Russia – something Volodymyr Zelenskyy has said he won’t accept.
Here’s what three of our correspondents think ahead of the much-anticipated face-to-face.
Putin’s legacy is at stake – he’ll want territory and more By Ivor Bennett, Moscow correspondent, in Alaska
Putin doesn’t just want victory. He needs it.
Three and a half years after he ordered the invasion of Ukraine, this war has to end in a visible win for the Russian president. It can’t have been for nothing. His legacy is at stake.
So the only deal I think he’ll be willing to accept at Friday’s summit is one that secures Moscow’s goals.
These include territory (full control of the four Ukrainian regions which Russia has already claimed), permanent neutrality for Kyiv and limits on its armed forces.
I expect he’ll be trying to convince Trump that such a deal is the quickest path to peace. The only alternative, in Russia’s eyes, is an outright triumph on the battlefield.
Image: Vladimir Putin and Donald Trump meeting in Osaka in 2019
I think Putin‘s hope is that the American president agrees with this view and then gives Ukraine a choice: accept our terms or go it alone without US support.
A deal like that might not be possible this week, but it may be in the future if Putin can give Trump something in return.
That’s why there’s been lots of talk from Moscow this week about all the lucrative business deals that can come from better US-Russia relations.
The Kremlin will want to use this opportunity to remind the White House of what else it can offer, apart from an end to the fighting.
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4:25
What will Kyiv be asked to give up?
Ukraine would rather this summit not be happening By Dominic Waghorn, international affairs editor, in Ukraine
Ukraine would far rather this meeting wasn’t happening.
Trump seemed to have lost patience with Putin and was about to hit Russia with more severe sanctions until he was distracted by the Russian leader’s suggestion that they meet.
Ukrainians say the Alaska summit rewards Putin by putting him back on the world stage.
But the meeting is happening, and they have to be realistic.
Most of all, they want a ceasefire before any negotiations can happen. Then they want the promise of security guarantees.
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2:35
Does Europe have any power over Ukraine’s future?
That is because they know that Putin may well come back for more even if peace does break out. They need to be able to defend themselves should that happen.
And they want the promise of reparations to rebuild their country, devastated by Putin’s wanton, unprovoked act of aggression.
There are billions of Russian roubles and assets frozen across the West. They want them released and sent their way.
What they fear is Trump being hoodwinked by Putin with the lure of profit from US-Russian relations being restored, regardless of Ukraine’s fate.
Image: US Army paratroopers train at the military base where discussions will take place. File pic: Reuters
That would allow Russia to regain its strength, rearm and prepare for another round of fighting in a few years’ time.
Trump and his golf buddy-turned-negotiator Steve Witkoff appear to believe Putin might be satisfied with keeping some of the land he has taken by force.
Putin says he wants much more than that. He wants Ukraine to cease to exist as a country separate from Russia.
Any agreement short of that is only likely to be temporary.
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1:41
Zelenskyy: I told Trump ‘Putin is bluffing’
Trump’s pride on the line – he has a reputation to restore By Martha Kelner, US correspondent, in Alaska
As with anything Donald Trump does, he already has a picture in his mind.
The image of Trump shaking hands with the ultimate strongman leader, Vladimir Putin, on US soil calls to his vanity and love of an attention-grabbing moment.
There is also pride at stake.
Image: Joint Base Elmendorf-Richardson in Alaska, where Trump will meet his Russian counterpart. File pic: Reuters
Trump campaigned saying he would end the Russia-Ukraine war on his first day in office, so there is an element of him wanting to follow through on that promise to voters, even though it’s taken him 200-plus days in office and all he’s got so far is this meeting, without apparently any concessions on Putin’s end.
In Trump’s mind – and in the minds of many of his supporters – he is the master negotiator, the chief dealmaker, and he wants to bolster that reputation.
He is keen to further the notion that he negotiates in a different, more straightforward way than his predecessors and that it is paying dividends.
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