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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the equation $n=p+x^{2}$
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by R. J. Miech PDF
Trans. Amer. Math. Soc. 130 (1968), 494-512 Request permission
References
    R. Ayoub, An introduction to the analytic theory of numbers, Math. Surveys No. 10, Amer. Math. Soc., Providence, R. I., 1963. E. Bombieri, On the large sieve, Mathematika 12 (1965), 201-225. G. H. Hardy and J. E. Littlewood, Some problems of partitio numerorum: III: On the expression of a large number as a sum of primes, Acta Math. 44 (1923), 1-70. H. Halberstam, On the representation of large numbers as sums of squares, higher powers, and primes, Proc. London Math. Soc. (2) 53 (1951), 363-380. C. Hooley, On the representation of a number as a sum of two squares and a prime, Acta Math. 97 (1957), 189-210. L. K. Hua, Additive theory of prime numbers, Transl. Math. Monos., Amer. Math. Soc., Providence, R. I., 1965. Ju. V. Linnik, The dispersion method in binary additive problems, Transl. Math. Monos., Amer. Math. Soc., Providence, R. I., 1963. K. Prachar, Primzahlverteilung, Springer, Berlin, 1957. G. K. Stanley, On the representation of numbers as a sum of squares and primes, Proc. London Math. Soc. (2) 29 (1928), 122-144. E. C. Titchmarsh, The theory of the Riemann zeta-function, Clarendon Press, Oxford, 1951. N. G. Tschudakoff, On the density of the set of even numbers which are not representable as a sum of two primes, Izv. Akad. Nauk SSSR Ser. Mat. 1 (1938), 25-39. (Russian)
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 130 (1968), 494-512
  • MSC: Primary 10.40
  • DOI: https://doi.org/10.1090/S0002-9947-1968-0266873-7
  • MathSciNet review: 0266873