KF was supported by NSF grant DMS-1201442. BG was supported by ERC Starting Grant 279438,
Approximate algebraic structure. TT was supported by a Simons Investigator grant, the James and Carol
Collins Chair, the Mathematical Analysis & Application Research Fund Endowment, and by NSF grant
DMS-1266164.
Поступила в редакцию: 30.08.2014 Исправленный вариант: 03.08.2015 Принята в печать: 23.08.2015
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Тип публикации:
Статья
Язык публикации: английский
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https://www.mathnet.ru/rus/aom2
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Donatella Cassettari, Giuseppe Mussardo, Andrea Trombettoni, J C Davis, “Holographic realization of the prime number quantum potential”, PNAS Nexus, 2:1 (2023)
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Andrew Granville, “Missing digits and good approximations”, Bull. Amer. Math. Soc., 2023
Tom Bohman, Fei Peng, “Coprime mappings and lonely runners”, Mathematika, 68:3 (2022), 784
Yu-Chen Sun, Hao Pan, “On the gaps between consecutive primes”, Forum Mathematicum, 2022
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M. Abdel-Mageed, Ahmed Salim, Walid Osamy, Ahmed M. Khedr, Giorgio Kaniadakis, “A Study on the Statistical Properties of the Prime Numbers Using the Classical and Superstatistical Random Matrix Theories”, Advances in Mathematical Physics, 2021 (2021), 1
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James Maynard, “The twin prime conjecture”, Jpn. J. Math., 14:2 (2019), 175
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Ryan Alweiss, Sammy Luo, “Bounded gaps between primes in short intervals”, Res. number theory, 4:2 (2018)
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Б. С. Кашин, Ю. В. Малыхин, В. Ю. Протасов, К. С. Рютин, И. Д. Шкредов, “Сергею Владимировичу Конягину — 60”, Труды МИАН, 303 (2018), 7–16; B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, K. S. Ryutin, I. D. Shkredov, “Sergei Vladimirovich Konyagin turns 60”, Proc. Steklov Inst. Math., 303 (2018), 1–9
Х. Майер, М. Рассиас, “Тернарная проблема Гольдбаха с простым и двумя изолированными простыми числами”, Труды МИАН, 296 (2017), 192–206; H. Maier, M. Rassias, “The ternary Goldbach problem with a prime and two isolated primes”, Proc. Steklov Inst. Math., 296 (2017), 183–197