Lawyers representing Boston Marathon bomber Dzhokhar Tsarnaev filed an appeal on Monday against his conviction and death sentence, arguing that intense publicity prevented him from getting an impartial trial.

In court papers, attorneys for the 22-year-old convicted terrorist said that "continuous and unrelenting publicity" of the 2013 Boston Marathon bombing and its aftermath unfairly influenced the 12 jurors selected in Tsarnaev's trial, which was held in Boston, reports NBC News.

"A new trial in a different venue is required due to continuous and unrelenting publicity combined with pervasive connections between jurors and the events surrounding the Boston Marathon bombing that precluded impartial adjudication in both appearance and fact," reads a 39-page file submitted to the U.S. District Court in Boston, according to Reuters.

The appeal also states that the jurors were influenced about the case through social media.

"Put simply, prejudicial media coverage, events, and environment saturated greater Boston, including the social networks of actual trial jurors, and made it an improper venue for the trial of this case," the court papers read.

Furthermore, according to NBC, defense lawyer William Fick argued that capital punishment is unconstitutional, citing U.S. Supreme Court Justice Stephen Breyer's recent dissent statement in which the justice said that he believes the death penalty "now likely constitutes a legally prohibited 'cruel and unusual punishment.'" However, the majority opinion in that case declared that "capital punishment is constitutional."

Earlier this year, Tsarnaev was found guilty of 30 charges and sentenced to death for his role in the bombings on April 15, 2013, that killed four people and wounded 264 others. His older brother, who spearheaded the attack, died three days after the blasts during a shootout with police.

Tsarnaev was formally sentenced to death in June by U.S. District Judge George O'Toole Jr.

"As long as your name is mentioned, what will be remembered is the evil you've done. What will be remembered is that you murdered and maimed innocent people and that you did it willfully and intentionally. You did it on purpose," O'Toole told Tsarnaev at his hearing, reported The New York Times.