Abstract
In this article, the author introduces the history, progress and method in the Goldbach-Vinogradov Theorem in short interval by which every sufficiently large odd integer could be expressed as the sum of three almost equal prime numbers.
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References
Baker, R. C. and Harman, G., The three primes theorem with almost equal summands, Phil. Trans. Soc. London A, 356 (1998), 763–780.
Chen Jingrun, On large odd numbers as sums of three almost equal primes, Sci. Sin. 14 (1965), 1113–1117.
Haselgrove, C. B., Some theorems in the analytic theory of numbers, J. London Math. Soc. 26 (1951), 273–277.
Jia Chaohua, Three primes theorem in a short interval, Acta Math. Sin. 32 (1989), 464–473.
Jia Chaohua, Three primes theorem in a short interval (II), International Symposium in Memory of Hua Loo Keng Vold, 103–116, Science Press and Springer-Verlag, 1991.
Jia Chaohua, Three primes theorem in a short interval (III), Sci. China Ser. A, 34 (1991), 1039–1056.
Jia Chaohua, Three primes theorem in a short interval (IV), Advances in Math. (China), 20 (1991), 109–126.
Jia Chaohua, Three primes theorem in a short interval (V), Acta Math. Sin. New Ser. 7 (1991), 135–170.
Jia Chaohua, Three primes theorem in a short interval (VI), Acta Math. Sin. 34 (1991), 832–850.
Jia Chaohua, Three primes theorem in a short interval (VII), Acta Math. Sin. New Ser. 10 (1994), 369–387.
Mozzochi, J. Number Theory, 24 (1986), 181–187.
Pan Chengdong, Some new results in additive number theory, Acta Math. Sin. 9 (1959), 315–329.
Pan Chengdong, Pan Chengdong, On estimation of trigonometric sums over primes in short intervals (I), Sci. Sinica, 32(1989), 408–416. (with Pan Chengbiao).
Pan Chengdong, On estimation of trigonometric sums over primes in short intervals (II), Sci. Sinica, 32(1989), 641–653. (with Pan Chengbiao).
Pan Chengdong, On estimation of trigonometric sums over primes in short intervals (III), Chin. Ann. of Math. 11B(1990), 138–147. (with Pan Chengbiao).
Pan Chengdong, Representation of large odd numbers as sums of three almost equal primes, Acta Sci. Nat. Univ. Sichuan, Special Issue, 1990, 172–183. (with Pan Chengbiao).
Wolke, D., Uber Goldbach-Zerlegungen mit nahezu gleichen Summanden, J. Number Theory 39 (1991), 237–244.
Zhan Tao, On the representation of large odd integers as sums of three almost equal primes, Acta Math. Sin. New Ser. 7 (1991), 259–272.
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© 2002 Springer Science+Business Media Dordrecht
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Pan, C. (2002). A Historical Comment about the GVT in Short Interval. In: Kanemitsu, S., Jia, C. (eds) Number Theoretic Methods. Developments in Mathematics, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3675-5_18
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DOI: https://doi.org/10.1007/978-1-4757-3675-5_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-5239-4
Online ISBN: 978-1-4757-3675-5
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