French open
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For world number one Djokovic, the defeat ended his hopes of an 18th Slam and of becoming the first man since Rod Laver in 1969 to win all four majors twice.
The 19-year-old Swiatek, at 54 the second-lowest ranked women's Roland Garros finalist in the modern era, is the ninth first-time major champion in the past 14 Grand Slams.
While Sofia Kenin's bizarre, no-look service action is a puzzle to many, she found it difficult to impose herself on clay until a third-round win over Serena Williams last year in Paris gave her reason to believe.
The world number one's collection of 17 Slams is made up of eight Australian Opens, five Wimbledon titles, three triumphs at the US Open but only one so far in Paris.
The Greek fifth seed avenged last month's loss to Rublev in the Hamburg final by defeating the Russian 7-5, 6-2, 6-3 to match his breakout run at the 2019 Australian Open.
A source within the investigation said the bets placed on a women's doubles match were "abnormally large" and amounted to "tens of thousands of euros".
The 12-time Roland Garros champion dispatched Italian world number 74 Stefano Travaglia 6-1, 6-4, 6-0 in just 95 minutes, notching his 96th victory at the tournament.
The top seed went level with Roger Federer for victories at the tournament, although still 25 behind Rafael Nadal's all-time best.
World number 43 Ostapenko triumphed 6-4, 6-2 and will face next either Sloane Stephens, the 2017 US Open winner and runner-up in Paris in 2018, or Spain's Paula Badosa for a spot in the last 16.
Rafael Nadal looked in ominous form as he stepped up his pursuit of Roger Federer's 20 major titles with a crushing win over 236th-ranked American Mackenzie McDonald.
World number one Djokovic, returning to Grand Slam action for the first time since his US Open disqualification, eased past Sweden's Mikael Ymer, ranked 80, in straight sets 6-0, 6-2, 6-3.
Rafael nadal defeated Egor Gerasimov, the world number 83 from Belarus, 6-4, 6-4, 6-2 to launch his assault on a 13th French Open title, 15 years after triumphing on his debut.
The 39-year-old American made a slow but successful start to her latest pursuit of Margaret Court's record with a 7-6 (7/2), 6-0 win over Kristie Ahn in the French Open first round on Monday.
Nadal, the undisputed king of clay, needs one more major to equal Roger Federer's record of 20, but the Spaniard comes to Paris short of preparation and unhappy with the French Open's choice of new balls.
Organisers of the French Open, which gets underway four months later than planned in Paris on Sunday, had hoped for a maximum of 5,000.
But Serena Williams can never be discounted as she launches another bid for a record-equalling 24th Grand Slam singles crown.
World number one Novak Djokovic beat Argentine Schwartzman 7-5, 6-3 in Monday's final to win a fifth Rome title, and a record 36th Masters crown to move one better than Rafael Nadal.
The French Open is due to start on 27 September at Roland Garros, rescheduled from earlier in the year because of the coronavirus pandemic.