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вот сегодняшнее видео https://youtu.be/xyCGheZXlBQ?si=ixo_gRQjxz4Xq-45

и ссылки:

* статья Крейна про уравнения Маркова (Квант, 1985) https://kvant.mccme.ru/1985/04/diofantovo_uravnenie_aamarkova.htm

* доказательство Вильяма Чена для ℤₚ — на архиве https://arxiv.org/abs/2011.12940 и в Annals https://annals.math.princeton.edu/2024/199-1/p05

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"Your messages about the movement of the enemy through the official chatbot … bring new trophies every day," the government agency tweeted. On Telegram’s website, it says that Pavel Durov “supports Telegram financially and ideologically while Nikolai (Duvov)’s input is technological.” Currently, the Telegram team is based in Dubai, having moved around from Berlin, London and Singapore after departing Russia. Meanwhile, the company which owns Telegram is registered in the British Virgin Islands. At this point, however, Durov had already been working on Telegram with his brother, and further planned a mobile-first social network with an explicit focus on anti-censorship. Later in April, he told TechCrunch that he had left Russia and had “no plans to go back,” saying that the nation was currently “incompatible with internet business at the moment.” He added later that he was looking for a country that matched his libertarian ideals to base his next startup. "Like the bombing of the maternity ward in Mariupol," he said, "Even before it hits the news, you see the videos on the Telegram channels." Telegram was co-founded by Pavel and Nikolai Durov, the brothers who had previously created VKontakte. VK is Russia’s equivalent of Facebook, a social network used for public and private messaging, audio and video sharing as well as online gaming. In January, SimpleWeb reported that VK was Russia’s fourth most-visited website, after Yandex, YouTube and Google’s Russian-language homepage. In 2016, Forbes’ Michael Solomon described Pavel Durov (pictured, below) as the “Mark Zuckerberg of Russia.”
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