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Traditional winter session MIAN–POMI devoted to the topic "Analysis"
December 20, 2019 10:00–10:45, St. Petersburg, St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, Fontanka 27
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Суммы Клоостермана с простыми числами и их применение
M. A. Korolev
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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References
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E. Fouvry, P. Michel, “Sur certaines sommes d'exponentielles sur les nombres premiers”, Ann. scient. Éc. Norm. Sup., 31:1 (1998), 93–130
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M. Z. Garaev, “Otsenka summ Kloostermana s prostymi chislami i primenenie”, Matem. zametki, 88:3 (2010), 41–64
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J. Bourgain, “More on the sum -product phenomenon in prime fields and its applications”, Int. J. Number Theory, 1:1 (2005), 1–32
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E. Fouvry, I. E. Shparlinski, “On a ternary quadratic form over primes”, Acta Arithmetica, 150:3 (2011), 285–314
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R. C. Baker, “Kloosterman sum with prime variable”, Acta Arith, 156:4 (2012), 351–372
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Zh. Burgein, M.Z. Garaev, “Summa mnozhestv, obrazovannykh obratnymi elementami v polyakh prostogo poryadka, i polilineinye summy Kloostermana”, Izv. RAN. Ser. matem., 78:4 (2014), 19–72
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