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|Roger Federer celebrates victory against Benoit Paire. (AFP/TIMOTHY A. CLARY)|
Second seed and five-time champion Federer made it 18 wins in 18 second round appearances in New York by seeing off error-plagued Frenchman Benoit Paire 7-5, 6-4, 6-4.
Federer, 37, will now take a 2-1 career lead over the combustible Kyrgios into their Saturday duel with all three of the pair's encounters having gone to three sets.
Kyrgios, 23, reached the third round by seeing off France's Pierre-Hugues Herbert 4-6, 7-6 (8/6), 6-3, 6-0.
However, the match sparked a huge row after respected umpire Mohamed Lahyani lost patience with the under-performing 30th seed and climbed down from his chair to tell the Australian to try harder.
"I want to help you," Lahyani could be heard saying.
"This isn't you. I know that. You are great for tennis."
Herbert said that Lahyani had over-stepped the mark.
"The umpire doesn't have to talk to him at all. The only thing he can tell him is pay attention, because if you continue like this, I'm going to give you a warning," said the 27-year-old,
"They can tell him from the chair. He doesn't need to go down. He doesn't need to say the words he said on the video. That is not his job. I don't think he's a coach, he's an umpire."
Kyrgios played down the incident.
"He said he liked me. I'm not sure if that was encouragement," said the Australian who won 19 of the last 25 games following Lahyani's unprecedented intervention.
"He just said that it's not a good look. I know what I was doing out there wasn't good."
US Open chiefs didn't help the matter by claiming Lahyani was forced to step from his chair as the crowd noise meant that Kyrgios could not hear him.
"Lahyani was concerned that Kyrgios might need medical attention," said tournament referee Brian Earley.
"He also informed Kyrgios that if his seeming lack of interest in the match continued, that as the chair umpire, he would need to take action."
German third seed Alexander Zverev made the third round for the first time in four tries after a 6-4, 6-4, 6-2 victory over French lucky loser Nicolas Mahut.
"I'm doing a lot of stuff different. I don't go out at all," said the 21-year-old who will next face compatriot Philipp Kohlschreiber.
Wimbledon champion Novak Djokovic will later attempt to book his third round place when he opens the night session against Tennys Sandgren of the United States.
Two-time US Open champion Djokovic beat Sandgren in straight sets in the first round at Wimbledon last month.
Wimbledon women's champion Angelique Kerber kept her bid for a second US Open title on track, outlasting Sweden's Johanna Larsson 6-2, 5-7, 6-4.
"I think we both really played on a really high level from the first point," said 2016 champion Kerber who had led by a set and 5-2 at one stage.
Kerber will next take on 2010 quarter-finalist Dominika Cibulkova after the Slovakian beat Taiwan's Hsieh Su-Wei 7-6 (7/3), 4-6, 6-4 despite being docked two points for returning late from a heat break.
Also progressing to the third round were French sixth seed Caroline Garcia who put out Olympic champion Monica Puig 6-2, 1-6, 6-4.
Belarus 26th seed Aryna Sabalenka continued her red-hot summer by seeing off 2010 runner-up Vera Zvonareva 6-3, 7-6 (9/7).
Sabalenka, who won the New Haven tournament last week and reached the semi-finals in Cincinnati, has made the third round of a Slam for the first time.
Later Thursday, former champion Maria Sharapova plays under the Arthur Ashe Stadium lights against Sorana Cirstea of Romania.
Second seed Caroline Wozniacki, a two-time runner-up and reigning Australian Open champion, tackles Lesia Tsurenko of Ukraine on the Louis Armstrong Stadium.
Men’s second round:
Jan-Lennard Struff (GER) bt Julien Benneteau (FRA) 6-2, 4-6, 6-1, 3-6, 6-3
David Goffin (BEL) bt Robin Haase (NED) 6-2, 6-7 (1/7), 6-3, 6-2
Diego Schwartzman (ARG) bt Jaume Munar (ESP) 6-2, 6-0, 5-7, 6-2
Philipp Kohlschreiber (GER) bt Matthew Ebden (AUS) 6-7 (1/7), 6-3, 6-2, 6-0
Alexander Zverev (GER) bt Nicolas Mahut (FRA) 6-4, 6-4, 6-2
Joao Sousa (POR) bt Pablo Carreno-Busta (ESP) 4-6, 6-3, 5-7, 6-2, 2-0 - retired
John Millman (AUS) bt Fabio Fognini (ITA) 6-1, 4-6, 6-4, 6-1
Mikhail Kukushkin (KAZ) bt Chung Hyeon (KOR) 7-6 (7/5), 6-2, 6-3
Nick Kyrgios (AUS) bt Pierre-Hugues Herbert (FRA) 4-6, 7-6 (8/6), 6-3, 6-0
Roger Federer (SUI) bt Benoit Paire (FRA) 7-5, 6-4, 6-4
Women’s second round:
Caroline Garcia (FRA) bt Monica Puig (PUR) 6-2, 1-6, 6-4
Jelena Ostapenko (LAT) bt Taylor Townsend (USA) 4-6, 6-3, 6-4
Madison Keys (USA) bt Bernarda Pera (USA) 6-4, 6-1
Aleksandra Krunic (SRB) bt Kirsten Flipkens (BEL) 6-1, 6-3
Dominika Cibulkova (SVK) bt Hsieh Su-Wei (TPE) 7-6 (7/3), 4-6, 6-4
Angelique Kerber (GER) bt Johanna Larsson (SWE) 6-2, 5-7, 6-4
Petra Kvitova (CZE) bt Wang Yafan (CHN) 7-5, 6-3
Aryna Sabalenka (BLR) bt Vera Zvonareva (RUS) 6-3, 7-6 (9/7)
Naomi Osaka (JPN) bt Julia Glushko (ISR) 6-2, 6-0
Aliaksandra Sasnovich (BLR) bt Darya Kasatkina (RUS) 6-2, 7-6 (7/3)
Kiki Bertens (NED) bt Francesca Di Lorenzo (USA) 6-2, 6-1
Marketa Vondrousova (CZE) bt Eugenie Bouchard (CAN) 6-4, 6-3