메뉴 건너뛰기




Volumn 54, Issue 4, 2003, Pages 453-462

On Lagrange's theorem with prime variables

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0842303578     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qmath/hag028     Document Type: Article
Times cited : (50)

References (21)
  • 1
    • 0034366227 scopus 로고    scopus 로고
    • On sums of three prime squares
    • C. Bauer, M.C. Liu, and T. Zhan, On sums of three prime squares, J. Number Theory 85 (2000), 336-359.
    • (2000) J. Number Theory , vol.85 , pp. 336-359
    • Bauer, C.1    Liu, M.C.2    Zhan, T.3
  • 3
    • 0001917104 scopus 로고
    • Lagrange's four squares theorem with almost prime variables
    • J. Brüdern and E. Fouvry, Lagrange's four squares theorem with almost prime variables, J. Reine Angew. Math. 454 (1994), 59-96.
    • (1994) J. Reine Angew. Math. , vol.454 , pp. 59-96
    • Brüdern, J.1    Fouvry, E.2
  • 5
    • 0000168817 scopus 로고
    • 2 where p and q are odd primes
    • 2 where p and q are odd primes, Acta Arith. 29 (1976), 257-274.
    • (1976) Acta Arith. , vol.29 , pp. 257-274
    • Greaves, G.1
  • 6
    • 0001447117 scopus 로고
    • Prime numbers in short intervals and a generalized Vaughan's identity
    • D. R. Heath-Brown, Prime numbers in short intervals and a generalized Vaughan's identity, Canad. J. Math. 34 (1982), 1365-1377.
    • (1982) Canad. J. Math. , vol.34 , pp. 1365-1377
    • Heath-Brown, D.R.1
  • 7
    • 0038010944 scopus 로고    scopus 로고
    • Lagrange's four squares theorem with one prime and three almost prime variables
    • D. R. Heath-Brown and D. I. Tolev, Lagrange's four squares theorem with one prime and three almost prime variables, J. Reine Angew. Math. 558 (2003), 159-224.
    • (2003) J. Reine Angew. Math. , vol.558 , pp. 159-224
    • Heath-Brown, D.R.1    Tolev, D.I.2
  • 8
    • 0002037732 scopus 로고
    • Some results in the additive prime number theory
    • L. K. Hua, Some results in the additive prime number theory, Quart. J. Math. Oxford 9 (1938), 68-80.
    • (1938) Quart. J. Math. Oxford , vol.9 , pp. 68-80
    • Hua, L.K.1
  • 10
    • 0000557243 scopus 로고    scopus 로고
    • The exceptional set in the four prime squares problem
    • J. Y. Liu and M. C. Liu, The exceptional set in the four prime squares problem, Illinois J. Math. 44 (2000), 272-293.
    • (2000) Illinois J. Math. , vol.44 , pp. 272-293
    • Liu, J.Y.1    Liu, M.C.2
  • 11
    • 0034238596 scopus 로고    scopus 로고
    • Representations of even integers as squares of primes and powers of 2
    • J. Y. Liu and M. C. Liu, Representations of even integers as squares of primes and powers of 2, J. Number Theory 83 (2000), 202-225.
    • (2000) J. Number Theory , vol.83 , pp. 202-225
    • Liu, J.Y.1    Liu, M.C.2
  • 12
    • 23044533958 scopus 로고    scopus 로고
    • Representation of even integers by cubes of primes and powers of 2
    • J. Y. Liu and M. C. Liu, Representation of even integers by cubes of primes and powers of 2, Acta Math. Hungar. 91 (2001), 217-243.
    • (2001) Acta Math. Hungar. , vol.91 , pp. 217-243
    • Liu, J.Y.1    Liu, M.C.2
  • 13
    • 0013023826 scopus 로고    scopus 로고
    • Sums of five almost equal prime squares (II)
    • J. Y. Liu and T. Zhan, Sums of five almost equal prime squares (II), Sci. China 41 (1998), 710-722.
    • (1998) Sci. China , vol.41 , pp. 710-722
    • Liu, J.Y.1    Zhan, T.2
  • 14
    • 0001395361 scopus 로고    scopus 로고
    • Squares of primes and powers of two
    • J. Y. Liu, M. C. Liu, and T. Zhan, Squares of primes and powers of two, Monatsh. Math. 128 (1999), 283-313.
    • (1999) Monatsh. Math. , vol.128 , pp. 283-313
    • Liu, J.Y.1    Liu, M.C.2    Zhan, T.3
  • 15
    • 0036169429 scopus 로고    scopus 로고
    • Squares of primes and powers of two (II)
    • J. Y. Liu, M. C. Liu, and T. Zhan, Squares of primes and powers of two (II), J. Number Theory 92 (2002), 99-116.
    • (2002) J. Number Theory , vol.92 , pp. 99-116
    • Liu, J.Y.1    Liu, M.C.2    Zhan, T.3
  • 16
    • 0001004905 scopus 로고
    • An asymptotic formula for the number of solutions of a nonlinear equation for prime numbers
    • V. A. Plaksin, An asymptotic formula for the number of solutions of a nonlinear equation for prime numbers, Math. USSR Izv. 18 (1982), 275-348.
    • (1982) Math. USSR Izv. , vol.18 , pp. 275-348
    • Plaksin, V.A.1
  • 17
    • 0034361486 scopus 로고    scopus 로고
    • The Waring-Goldbach problem for cubes
    • X. M. Ren, The Waring-Goldbach problem for cubes, Acta Arith. 94 (2000), 287-301.
    • (2000) Acta Arith. , vol.94 , pp. 287-301
    • Ren, X.M.1
  • 18
    • 0035581925 scopus 로고    scopus 로고
    • The exceptional set in Roth's theorem concerning a cube and three cubes of primes
    • X. M. Ren, The exceptional set in Roth's theorem concerning a cube and three cubes of primes, Quart. J. Math. 52 (2001), 107-126.
    • (2001) Quart. J. Math. , vol.52 , pp. 107-126
    • Ren, X.M.1
  • 19
    • 0001899350 scopus 로고
    • Zur Darstellung von Zahlen durch Summen von Primzahlpotenzen II
    • W. Schwarz, Zur Darstellung von Zahlen durch Summen von Primzahlpotenzen II, J. Riene Angew. Math. 206 (1961), 78-112.
    • (1961) J. Riene Angew. Math. , vol.206 , pp. 78-112
    • Schwarz, W.1
  • 21
    • 0036638451 scopus 로고    scopus 로고
    • Slim exceptional sets for sums of four squares
    • T. D. Wooley, Slim exceptional sets for sums of four squares, Proc. London Math. Soc. 85 (2002), 1-21.
    • (2002) Proc. London Math. Soc. , vol.85 , pp. 1-21
    • Wooley, T.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.