British number one Johanna Konta is up last on Grandstand, which means you can take your pick as to what time she'll step on court. Her first round match is against American Bethanie Mattek-Sands, the world number 109, who reached the third round last year.
- GB's Kyle Edmund beats 13th seed Richard Gasquet 6-2 6-2 6-3
- GB's Johanna Konta takes on Bethanie Mattek-Sands (US) in the fourth match on the Grandstand (approx 23:00 BST)
- 2015 US Open winner Novak Djokovic (Ser) will play Jerzy Janowicz (Pol) on Arthur Ashe Stadium (after 00:00 BST)
- Use audio icon to listen live (from 18:00 BST)
Kyle Edmund on Eurosport: "I’m extremely happy right now. The crowd support was incredible, I didn’t expect I’d get this much support if I’m being honest. I’m happy I was able to give back some really good tennis.
"I played really well, went about my process and didn’t really worry about who I was playing. I probably played better than I expected today.
"I always know in best-of-five sets there’s up and downs and I was obviously riding a high until I got broken in the third set. When I broke him at 3-2 I thought I’d really push it home and take it to him."
Well, the Yorkshireman might have to wait a while to find out, with Slovakia's Lukas Lacko and American Ernesto Escobedo tied at one set all over on court seven. Another couple of hours' work loom for both men on a fiercely hot afternoon.
BBC tennis correspondent
That’s the finest win of Edmund's career against a twice Wimbledon and once US Open semi-finalist. It took just one hour and 40 minutes, and he played magnificently throughout. That sledgehammer forehand was eye-catching but his all-round game was working well. That was a very mature and highly accomplished performance.
He’s won Grand Slam matches before but Gasquet is the highest-calibre opponent Edmund has beaten. This is a fine, fine win.
That, by the way, was Kyle Edmund's debut in the main draw at Flushing Meadows and only his third win in a major, the other two coming in Paris. Gasquet, it should be said, looked horribly out of sorts, but take nothing away from Edmund, that forehand of his is a weapon of mass destruction. Still eight Brits left in the main draw, Johanna Konta up later.
Ace to kick off the game. Great pick-up by Gasquet but he can't deal with the ripped backhand that comes straight back at him - 30-15. Forehand winner for two match points Gasquet challenges a call on the baseline and it's successful, point replayed. Ace down the middle, what a win that is for the British number four over the 13th seed. He pummeled the former semi-finalist.
This time it's a winner down the line on the backhand wing, and it's two more break points. Foot fault called on the Gasquet first serve before the Frenchman flays a backhand miles wide. Gasquet, after that brief spike, has fallen through the floor again. Edmund serving for the match...
No signs of this forehand misfiring, here's another for 30-15. And another for 40-15. Three games in a row for Edmund, it's blitzkrieg from the Brit.
Edmund unleashes another savage forehand down the line for 30-30 before taking the game to deuce. Break point as Gasquet dumps a forehand into the net before the Frenchman skims the line with a first serve, just a tuft of fluff in it. But he follows up with a double before Edmund comes up with a forehand pass on the run you could only dream about. Fist pump, Edmund back in the set.
Gasquet with a poor baseline challenge, he gave up the point and it hit the chalk. Edmund seals the game to love, courtesy of an ace out wide.
Edmund skims towards the net and hits a peach of a forehand winner on the slide. Gasquet with a divine backhand, cross-court volley and the Frenchman seems to have stepped his game up suddenly. Gasquet extends his lead.
Gasquet has Edmund 0-30 for only the second time in the match and here's two break points as Edmund chips a forehand long. Edmund misses with an attempted forehand pass, that's the Frenchman's first break of the match.
Gasquet with a safe hold of serve, although he still looks like he's blowing out of every orifice.
It's officially 32C in New York, which is pretty steaming by anybody's standards. No wonder Gasquet looks out of sorts, it must be like wading through leak and potato soup. News reaches me that Gasquet has lost his last 13 matches when two sets down. Gasquet standing so far behind the baseline you can barely see him and Edmund does him twice with forehand winners. Gasquet goes long with a forehand return, another safe hold.
Edmund has hit 26 winners to Gasquet's nine, the Briton has won 75% of points on the Frenchman's second serve, and he's yet to face a break point.
Add in the energy-sapping - and very precise - 1294.4 metres that Gasquet has apparently covered so far, and it's hard going for the 13th seed.
It's time to tempt fate and look at the potential second-round opponents battling it out on court seven - and Slovakia's world number 99 Lukas Lacko currently leads American Ernesto Escobedo, the world number 201, by a set to love.
Bit weird, it appears Edmund has mislaid his drinks. If it was just water, that might not be a problem, but I'd imagine they're a more complicated potion. Gasquet misses with a forehand for 0-30 before Edmund sends down yet another forehand winner. Break to love, courtesy of a backhand return down the line. Gasquet being broken up out there.
BBC tennis correspondent
This is Edmund’s US Open main draw debut and after 54 minutes, he’s completely in control. He’s playing magnificently well in the heat and humidity.
Gasquet steals a march in this Edmund service game, using his backhand slice to good effect. Edmund crunches a smash on the bounce for 15-30 before pinning Gasquet with another booming forehand. Tremendous stooping forehand volley from Edmund before the British number four wraps up the game with a hammer of a first serve. Edmund cruising.
Gasquet looks like he's been 12 rounds with Sugar Ray Leonard, really suffering in this heat. But what a shot that is, a typically florid forehand down the line for 30-15. Break point Edmund, as Gasquet top-edges another steaming forehand over the slip cordon and over the rope for six. Break, Edmund all over the Frenchman. It's not complicated from the Briton, but it's working.
Edmund with a steaming forehand down the line and that's another straightforward hold. Gasquet has had a look at Edmund and he's found out that forehand of his is as heavy as everyone said it was.
Nice from Gasquet at the net, good coverage for 30-0. Some big groundstrokes from the Frenchman, that's a hold to love. Bit more like it from the 13th seed.
Brilliant net play from Edmund, cat-like reflexes to recover a net cord before putting away the forehand volley. The kid's not just a one-trick pony. That's a doozy of a backhand from Gasquet, signs that the Frenchman is getting less creaky. Hmmm, backhand into the net to follow before Edmund puts away another forehand volley. Gasquet goes long with a forehand return, another hold for the Briton.
Gasquet gets some traction in the second set, sending down an ace to seal the hold...
Edmund seals that game with an ace out wide, it's not getting much better for Gasquet. Not sure he's well.
BBC tennis correspondent
Another of those heavy forehands and that’s a really impressive first set by Kyle Edmund, taking it by a double break.
Gasquet re-grips, as is his wont. Gasquet really out of sorts at the moment, looks like he doesn't want to be there. Weak attempted drop shot into the net but he follows that up with an ace. Gasquet goes long with a backhand, and then a forehand, and it's set point Edmund. That's the first set for Edmund, and, to be honest, it looked quite easy.
Another ace from Edmund before he outlasts the Frenchman in a lengthy baseline rally. Edmund goes wide with a forehand after Gasquet steps in on the second serve before the Englishman serves up a double fault for deuce. Gasquet pinned behind the baseline by some heavy duty forehands before Edmund stiffs him with a cute drop shot. That's a hold...
Gasquet with a peach of a backhand winner before Edmund hits back with a massive forehand down the line. But it's a Gasquet hold...
Gasquet just cannot cope with the Edmund forehand at the moment, which makes you wonder why the Frenchman doesn't make him hit more backhands. Three aces in the game from Edmund, Gasquet is being bullied out there.
Edmund opens his wingspan and lets loose yet another forehand winner down the line and that's a break. The Brit looking dominant at the moment.
Uncomplicated stuff from Edmund, but my is it effective. Another forehand winner for 30-0 before Gasquet wins his first point on the Edmund serve, courtesy of a forehand return. Edmund wraps up the game with, you've guessed it, another forehand winner...
Edmund top-edges a return into the stands before driving a backhand winner down the line. But that's a fairly straightforward hold for the Frenchman.
Edmund wins the first point of the match with a booming forehand, and the second in a similar manner. Gasquet goes long for 40-0 before Edmund unfurls another forehand winner. That's some shot...
It's about 30C in New York and Gasquet has got a sweat on already, he looks like he's gone three sets. It's Edmund to serve first...
Edmund and Gasquet are knocking up, we'll have some play in about five minutes. Edmund in a lurid yellow shirt, which makes him look somewhat radioactive, Gasquet keeping it more traditional...
Edmund is one of two British players in action today - women's number one and world number 14 Johanna Konta is last on Grandstand, against American socksmith Bethanie Mattek-Sands.