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Volumn 106, Issue 7, 1999, Pages 652-664

H. J. S. Smith and the Fermat two squares theorem

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EID: 0033241583     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2589495     Document Type: Article
Times cited : (13)

References (23)
  • 1
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    • The representation of primes of the form 4n + 1 as the sum of two squares
    • C. W. Barnes, The representation of primes of the form 4n + 1 as the sum of two squares, Enseign. Math. (2) 18 (1972) 289-299.
    • (1972) Enseign. Math. , vol.18 , Issue.2 , pp. 289-299
    • Barnes, C.W.1
  • 3
    • 84968504668 scopus 로고
    • Note on representing a prime as a sum of two squares
    • J. Brillhart, Note on representing a prime as a sum of two squares, Math. Comp. 26 (1972), 1011-1013.
    • (1972) Math. Comp. , vol.26 , pp. 1011-1013
    • Brillhart, J.1
  • 4
    • 0003635545 scopus 로고    scopus 로고
    • The McGraw-Hill Companies, Inc., New York
    • D. M. Burton, Elementary Number Theory, The McGraw-Hill Companies, Inc., New York, 1998.
    • (1998) Elementary Number Theory
    • Burton, D.M.1
  • 5
    • 0009154142 scopus 로고
    • Adam and Charles Black, Edinburgh, The 6th. edition reprinted by Chelsea Publishing Co., New York
    • G. E. Chrystal, Algebra: I and II, Adam and Charles Black, Edinburgh, 1889. The 6th. edition reprinted by Chelsea Publishing Co., New York, 1959.
    • (1889) Algebra: I and II
    • Chrystal, G.E.1
  • 9
    • 0009228628 scopus 로고
    • A simple proof of Fermat's two-square theorem
    • J. A. Ewell, A simple proof of Fermat's two-square theorem, Amer. Math. Monthly 90 (1983) 635-637.
    • (1983) Amer. Math. Monthly , vol.90 , pp. 635-637
    • Ewell, J.A.1
  • 10
    • 0009301347 scopus 로고
    • The mathematician the world forgot
    • K. Hannabuss, The mathematician the world forgot, New Scientist 97 (1983) 901-903.
    • (1983) New Scientist , vol.97 , pp. 901-903
    • Hannabuss, K.1
  • 16
    • 0009298125 scopus 로고
    • Fermat's two-squares theorem
    • D. R. Heath-Brown, Fermat's two-squares theorem, Invariant. (1984) 3-5.
    • (1984) Invariant , pp. 3-5
    • Heath-Brown, D.R.1
  • 17
    • 0001879568 scopus 로고
    • Note au sujet de l'article précedent
    • C. Hermite, Note au sujet de l'article précedent, J. Math. Pures Appl. 13 (1848) 15.
    • (1848) J. Math. Pures Appl. , vol.13 , pp. 15
    • Hermite, C.1
  • 19
    • 0002457427 scopus 로고
    • Sur un théorème relatif aux nombres entiers
    • J.-A. Serret, Sur un théorème relatif aux nombres entiers, J. Math. Pures Appl. 13 (1848) 12-14.
    • (1848) J. Math. Pures Appl. , vol.13 , pp. 12-14
    • Serret, J.-A.1
  • 20
    • 84941402778 scopus 로고
    • De compositione numerorum primorum 4λ + 1 ex duobus quadratis
    • H. J. S. Smith, De Compositione Numerorum Primorum 4λ + 1 Ex Duobus Quadratis, Crelle's Journal L (1855) 91-92.
    • (1855) Crelle's Journal L , pp. 91-92
    • Smith, H.J.S.1
  • 22
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    • The Euclidean algorithm strikes again
    • S. Wagon, The Euclidean algorithm strikes again, Amer. Math. Monthly 97 (1990) 125-129.
    • (1990) Amer. Math. Monthly , vol.97 , pp. 125-129
    • Wagon, S.1
  • 23
    • 0009225619 scopus 로고
    • A one-sentence proof that every prime p ≡ 1 (mod 4) is a sum of two squares
    • D. Zagier, A one-sentence proof that every prime p ≡ 1 (mod 4) is a sum of two squares, Amer. Math. Monthly 197 (1990) 144.
    • (1990) Amer. Math. Monthly , vol.197 , pp. 144
    • Zagier, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.