ShareArsenal went top of the Premier League with their first victory at Anfield in the competition since 2012, with Liverpool misfiring up front.Kai Havertz was the hero as Arsenal defeated Liverpool 1-0, securing their first Premier League win at Anfield in 14 years and leapfrogging Manchester City to go top of the table.Havertz tapped Rice's centre home in the 16th minute, becoming the leading German goalscorer in Premier League history and giving Mikel Arteta's side a lead they would not relinquish.Florian Wirtz hit the crossbar, and Alexis Mac Allister missed a glorious headed chance, but Liverpool faded as the contest went on and ultimately did not hit the target with any of their 17 shots.While Arsenal now sit three points clear of City at the summit, Liverpool are nine points back of the leaders in fifth. There was no sign of an Arsenal hangover following their midweek EFL Cup defeat to Fleetwood Town, as they came flying out of the traps.Alisson's loose pass out from the back gifted the Gunners possession, and after Bruno Guimaraes worked it right to Noni Madueke, Declan Rice overlapped and provided a pinpoint cross, from which Havertz could not miss.Arsenal were extremely fortunate not to concede a penalty when Alexander Isak's shirt was pulled by Jurrien Timber, just as the Swede looked set to turn Bradley Barcola's cross home, though Havertz almost had a second goal when he slid in and missed Guimaraes' centre.After a lucky bounce off Ezri Konsa rescued David Raya, who was under pressure from Isak, Cody Gakpo saw another penalty appeal waved away, with Arsenal's goal now fully under siege. And the Gunners had two huge let-offs at the end of the first half, with Wirtz's free-kick rattling the crossbar and Mac Allister heading over when totally unmarked. Isak sliced wide of Raya's near post from Liverpool's first chance of the second period, but the tempo of the game dropped as Arsenal sunk into a rigid block. And, as Andoni Iraola's men misfired, Arsenal went closer to scoring an insurance goal. On his return from injury, Christos Tzolis saw a cutback cleared by Jeremy Jacquet just when Martin Odegaard was ready to sweep into the net, and the Greek later saw a smooth snap-shot palmed around past the post by Alisson.Liverpool threw men forward in the latter stages, but they never truly tested Raya as Arteta was able to celebrate a huge victory.Anfield hoodoo over for Arteta as Liverpool make unwanted historyArsenal have made a habit of breaking new ground under Arteta, though Anfield was one of the last frontiers left for the Spaniard to conquer as a Premier League manager.Indeed, the Gunners arrived at Anfield winless in their last 13 Premier League visits since a 2-0 victory in September 2012 (D5 L8), their joint-longest run in league play at the venue, and six of those trips had come under Arteta (D3 L3).Arsenal's previous 13-match winless streak on the red side of Merseyside was broken in memorable fashion, with a final-day victory to secure the First Division title in 1988-89.But they did not have things all their own way after Havertz's goal, which was his 46th in the Premier League, surpassing Ilkay Gundogan (45) as the competition's most-prolific German.Liverpool had 28 touches in Arsenal's area throughout the first half, the most on record (since 2008-09) by any team in the opening period of a Premier League game against Arsenal.However, the Reds could not convert that pressure into a goal, failing to have a shot on target in a home Premier League game for the first time on record (since 2003-04), in what was their 442nd league game at Anfield in that period. Arsenal went top of the Premier League with their first victory at Anfield in the competition since 2012, with Liverpool misfiring up front.Kai Havertz was the hero as Arsenal defeated Liverpool 1-0, securing their first Premier League win at Anfield in 14 years and leapfrogging Manchester City to go top of the table.Havertz tapped Rice's centre home in the 16th minute, becoming the leading German goalscorer in Premier League history and giving Mikel Arteta's side a lead they would not relinquish.Florian Wirtz hit the crossbar, and Alexis Mac Allister missed a glorious headed chance, but Liverpool faded as the contest went on and ultimately did not hit the target with any of their 17 shots.While Arsenal now sit three points clear of City at the summit, Liverpool are nine points back of the leaders in fifth. There was no sign of an Arsenal hangover following their midweek EFL Cup defeat to Fleetwood Town, as they came flying out of the traps.Alisson's loose pass out from the back gifted the Gunners possession, and after Bruno Guimaraes worked it right to Noni Madueke, Declan Rice overlapped and provided a pinpoint cross, from which Havertz could not miss.Arsenal were extremely fortunate not to concede a penalty when Alexander Isak's shirt was pulled by Jurrien Timber, just as the Swede looked set to turn Bradley Barcola's cross home, though Havertz almost had a second goal when he slid in and missed Guimaraes' centre.After a lucky bounce off Ezri Konsa rescued David Raya, who was under pressure from Isak, Cody Gakpo saw another penalty appeal waved away, with Arsenal's goal now fully under siege. And the Gunners had two huge let-offs at the end of the first half, with Wirtz's free-kick rattling the crossbar and Mac Allister heading over when totally unmarked. Isak sliced wide of Raya's near post from Liverpool's first chance of the second period, but the tempo of the game dropped as Arsenal sunk into a rigid block. And, as Andoni Iraola's men misfired, Arsenal went closer to scoring an insurance goal. On his return from injury, Christos Tzolis saw a cutback cleared by Jeremy Jacquet just when Martin Odegaard was ready to sweep into the net, and the Greek later saw a smooth snap-shot palmed around past the post by Alisson.Liverpool threw men forward in the latter stages, but they never truly tested Raya as Arteta was able to celebrate a huge victory.Anfield hoodoo over for Arteta as Liverpool make unwanted historyArsenal have made a habit of breaking new ground under Arteta, though Anfield was one of the last frontiers left for the Spaniard to conquer as a Premier League manager.Indeed, the Gunners arrived at Anfield winless in their last 13 Premier League visits since a 2-0 victory in September 2012 (D5 L8), their joint-longest run in league play at the venue, and six of those trips had come under Arteta (D3 L3).Arsenal's previous 13-match winless streak on the red side of Merseyside was broken in memorable fashion, with a final-day victory to secure the First Division title in 1988-89.But they did not have things all their own way after Havertz's goal, which was his 46th in the Premier League, surpassing Ilkay Gundogan (45) as the competition's most-prolific German.Liverpool had 28 touches in Arsenal's area throughout the first half, the most on record (since 2008-09) by any team in the opening period of a Premier League game against Arsenal.However, the Reds could not convert that pressure into a goal, failing to have a shot on target in a home Premier League game for the first time on record (since 2003-04), in what was their 442nd league game at Anfield in that period.