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RIA Novosti, Alexei Druzhinin, pool, Associated Press
Russian Prime Minister Vladimir Putin gestures as he speaks to the media after a national call-in TV show in Moscow, Russia, Thursday, Dec. 15, 2011. Putin said Thursday the results of Russia's parliamentary election reflected the people's will, and that the opposition had alleged vote fraud purely to strengthen its position. "The results of this election undoubtedly reflect the real balance of power in the country," he said, speaking in a national call-in TV show. "It's very good that United Russia has preserved its leading position." He added that a drop in support for his party was a natural result of the global financial crisis of 2008 that has taken its toll on the country.

MOSCOW — About 1,000 demonstrators demanding a rerun of parliamentary elections gathered Saturday in central Moscow for a second weekend of protests against Russia's fraud-tainted vote, a comparatively small crowd that underlined the challenge to the opposition of keeping up public pressure on authorities.

The turnout was far below the nationwide protests last Saturday in at least 60 cities, including a dramatic gathering of tens of thousands in Moscow, the largest show of public anger in post-Soviet Russia. Demonstrations took place in at least two other cities on Saturday.

The protests follow the Dec. 4 national parliamentary elections, in which the ruling United Russia party lost a significant share of its seats in the State Duma, though it retained a narrow majority. Opposition forces claim even that was unearned, supported by reports from local and international observers of widespread vote-count irregularities and outright fraud.

The combination of fraud and United Russia's declining fortunes galvanized opposition groups that have been repressed under Putin's 12 years of rule. After several nights of unauthorized protests that police broke up harshly, Moscow authorities showed unprecedented largesse in granting permission to hold several large protests.

The Russian leadership appeared shaken by the opposition's determination, but its decision to grant permission for the protests could also be a strategy aimed at dissipating the anger with the hope that unhindered protests will eventually fade away.

Prime Minister Vladimir Putin this week effectively rejected calls to rerun the election, declaring that its result reflected the people's will. The new Duma is to have its opening session on Wednesday.

The opposition, in turn, aims to keep up the pressure with a series of protests, and is placing much hope on a Moscow rally Dec. 24 that organizers believe will attract at least 50,000 people.

Saturday's protest at Bolotnaya Square, on an island in the Moscow River a few hundred meters (yards) from the Kremlin, was organized by Yabloko, a liberal party that has been a longtime bit-player in Russian politics. Unlike many liberal groups, it was allowed to register for the parliament elections, but won no seats.

Speakers including party leader Sergei Mitrokhin called for the Dec. 4 election results to be annulled. Mitrokhin also took Putin to task for his televised comments this week in which he claimed protest leaders were acting at the West's behest and sarcastically said he thought the white ribbons many protesters wear as an emblem were condoms.

"Our Prime Minister held a live show on our TV where during five hours he was calling us condoms financed by the State Department, crooks that are trying to steal the country, and I think that this is the reaction that shows he was scared," Mitrokhin told the well-behaved crowd.

Russian news media also reported about 500 people held a protest in the Siberian city of Irkutsk and that about 100 tried for an unauthorized rally in Samara, where four demonstrators were arrested.

The wave of protest comes less than three months before Putin is to run for a new term as president, the post he held in 2000-2008, and indicates his return to the Kremlin may be less easy than initially assumed for the man who has dominated Russia over the past dozen years.

On Saturday, the Communist Party nominated its leader Gennady Zyuganov to run for president. Zyuganov forced Boris Yeltsin into a run-off in the 1996 presidential election and although the Communists' support has declined since then, he could attract a protest vote against Putin.

At the party congress that nominated him, Zyuganov promised that he would call a rerun of the parliamentary election if he becomes president. He also denounced the international financial system, a message that could play well with Russians who have been passed by in the post-Soviet economic boom.

"We're living in the epoch of unlimited rule of transnational financial capital. It started by the fall of the Soviet Union. We can easily call today's economics system financial imperialism. It pressures countries and nations with the help of the credit systems, currency mechanisms and the speculations in stock market trades," he said.

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Associated Press writer Jim Heintz in Moscow contributed to this report.