American mathematicians solve Ramanujan's “deathbed” puzzle

Paris, May 10: The number of coronavirus cases worldwide topped four million as some of the hardest-hit countries readied Sunday to lift lockdown restrictions despite concern about a second wave of infections.

Governments around the world are trying to stop the spread of the deadly disease while scrambling for ways to relieve pressure on their economies, which are facing a historic downturn with millions pushed into unemployment.

Despite the intense political pressure to reopen, nations are also keen to avoid second waves of infections that could overwhelm healthcare systems, with reminders over the weekend of the threat posed by the virus.

In the United States, media reported Saturday that the nation's top infectious disease expert, Anthony Fauci, was among three members of the White House coronavirus task force who will self-isolate after potential exposure.

And in South Korea, the capital Seoul shut all bars and clubs on Saturday as more than 50 cases were linked to a man who tested positive after spending time in one of the city's busiest nightlife districts.

Despite the risks, some governments in hard-hit Europe have said are signs of progress that justify cautious steps towards normality.

Officials in France on Saturday said the day's death toll of 80 was the lowest since early April, while nursing home fatalities also fell sharply as the nation prepared to relax curbs on public movement imposed eight weeks ago.

The easing, to begin Monday, has brought mixed reactions.

"I've been scared to death" about the reopening, said Maya Flandin, a bookshop manager from Lyon. "It's a big responsibility to have to protect my staff and my customers."

French health officials have warned that social distancing must be kept up even as restrictions are eased.

In Spain, about half the population will be allowed out on Monday for limited socialisation, and restaurants will be able to offer some outdoor service as the country begins a phased transition set to last through June.

With lingering fears of a resurgence, authorities excluded Madrid and Barcelona -- two COVID-19 hotspots -- from the first phase.

Belgium is also easing some restrictions on Monday, and in some parts of Germany, bars and restaurants reopened on Saturday with further easing set for Monday.

In Britain, Prime Minister Boris Johnson is expected Sunday to lay out a plan for the nation to emerge out of its current lockdown.

Media reports have suggested that Britain may introduce a mandatory 14-day quarantine for international arrivals to stop the spread of the virus.

Global economic figures are pointing to the most acute downturn in nearly a century, with businesses forced to shut and supply lines badly disrupted, and pressure is growing on leaders around the world to find a way out as the worldwide death toll topped 277,000 and infections crossed four million.

In the United States, the country with the highest death toll and where more than 20 million people have lost their jobs, President Donald Trump has insisted that next year would be "phenomenal" for the economy, urging reopening despite the virus still claiming well over 1,000 lives daily in the country.

The scale of the challenge was brought in sharp focus over the weekend as US media reported that top disease expert Anthony Fauci, who has become the trusted face of the government response to the pandemic, is going to self-isolate after possible exposure to an infected White House staffer.

Fauci told CNN that he will undergo a "modified quarantine" as he had not been in close proximity to the staffer, the network reported. He will remain at home teleworking, and will wear a mask for two weeks.

Robert Redfield, the director of the Centers for Disease Control and Prevention, and Stephen Hahn, the commissioner of the Food and Drug Administration, will also self-isolate, CNN added.

All three will still testify at Tuesday's Senate coronavirus hearing, with Redfield and Hahn participating via video link, according to Senator Lamar Alexander, chairman of the chamber's health committee.

It is believed Fauci will attend wearing a mask, CNN reported.

President Trump has faced sharp criticism from his predecessor Barack Obama, who said on a leaked tape that Trump's handling of the crisis was an "absolute chaotic disaster".

With people wearying of being indoors and under economic pressure, anti-lockdown protests have been held in a number of countries in recent weeks, with some demonstrators arguing that such restrictions violate their rights and others promoting conspiracy theories about the pandemic.

Ten people were arrested and a police officer injured in Melbourne, Australia, on Sunday in the latest such protest, where around 150 people gathered to demand an end to the shutdown.

Participants were promoting a number of conspiracy theories, such as linking 5G cellular communications to the disease.

Australian chief medical officer Brendan Murphy said there was "a lot of very silly misinformation out there", including the 5G allegation.

"I have unfortunately received a lot of communication from these conspiracy theorists myself," he said.

"It is complete nonsense. 5G has got nothing at all to do with coronavirus."

Davos, Jan 24: Pakistan Prime Minister Imran Khan claimed that he met with a “brick wall” when he approached Indian Prime Minister Narendra Modi with a peace proposal, soon after assuming office.

In an interview to Foreign Policy magazine on the sidelines of WEF 2020 here, Khan also said he told Modi that Pakistan will act firmly if it was given evidence of any involvement in the Pulwama terror attack, but India instead “bombed” Pakistan.

Tensions have escalated between the two countries, following India withdrawing the special status of Jammu and Kashmir in August 2019. Even since, Khan has been trying to seek global intervention to de-escalate the tensions between the two countries.

On Thursday, India's External Affairs Ministry spokesperson Raveesh Kumar categorically ruled out any third party role on the Kashmir issue, asserting that any issue between the two countries should be resolved bilaterally.

In the interview, Khan said that he is a firm believer that military means are not a solution to ending conflicts. “After assuming office, I immediately reached out to Prime Minister Modi. I was amazed by the reaction I got, which was quite weird.

The subcontinent hosts the greatest number of poor people in the world, and the best way to fight poverty is to have a trading relationship between the two countries rather than spending money on arms. This is what I said to the Indian Prime Minister. But I was met by brick wall,” Khan said.

Khan took charge as Prime Minister in August 2018. Referring to the suicide attack in Pulwama, Khan said he immediately told Modi ,“if you can give us any actionable intelligence (that Pakistanis were involved), we will act on it. But rather than do so, they bombed us.”

Noting that the both countries are not close to conflict right now, Khan said that it is important that the UN and the US act.

When asked about US President Donald Trump’s close relationship with Modi, Khan said the relationship is understandable because India is a huge market. “My concern is not about the US-India relationship. My concern is the direction in which India is going,” Khan said.

Khan also sought to compare the events in India to what happened in Nazi Germany.

“Between 1930 and 1934, Germany went from a liberal democracy to a fascist, totalitarian, racist state. If you look at what is happening in India under the BJP in the last five years, look where it's heading, you'll see the danger. And you're talking about a huge country of 1.3 billion people that is nuclear-armed,” he said.