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Volumn 83, Issue 2, 2000, Pages 202-225

Representation of even integers as sums of squares of primes and powers of 2

Author keywords

Almost Goldbach problem; Circle method; Sieve methods

Indexed keywords


EID: 0034238596     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1999.2500     Document Type: Article
Times cited : (25)

References (22)
  • 1
    • 0001917104 scopus 로고
    • Lagrange's four squares theorem with almost prime variables
    • Brüdern J., Fouvry E. 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
  • 2
    • 0000193082 scopus 로고
    • Primes and powers of 2
    • Gallagher P. X. Primes and powers of 2. Invent. Math. 29:1975;125-142.
    • (1975) Invent. Math. , vol.29 , pp. 125-142
    • Gallagher, P.X.1
  • 4
    • 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
    • 0002037732 scopus 로고
    • Some results in the additive prime number theory
    • Hua L. K. 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
  • 8
    • 0001216048 scopus 로고
    • Rosser's sieve
    • Iwaniec H. Rosser's sieve. Acta Arith. 36:1980;171-202.
    • (1980) Acta Arith. , vol.36 , pp. 171-202
    • Iwaniec, H.1
  • 9
    • 0001617433 scopus 로고
    • A new form of the error term in the linear sieve
    • Iwaniec H. A new form of the error term in the linear sieve. Acta Arith. 37:1980;307-320.
    • (1980) Acta Arith. , vol.37 , pp. 307-320
    • Iwaniec, H.1
  • 11
    • 0001494938 scopus 로고
    • Prime numbers and powers of two
    • Linnik Yu. V. Prime numbers and powers of two. Trudy Mat. Inst. Steklov. 38:1951;151-169.
    • (1951) Trudy Mat. Inst. Steklov , vol.38 , pp. 151-169
    • Linnik, Yu.V.1
  • 12
    • 0003072289 scopus 로고
    • Addition of prime numbers and powers of one and the same number
    • Linnik Yu. V. Addition of prime numbers and powers of one and the same number. Mat. Sb. (N.S.). 32:1953;3-60.
    • (1953) Mat. Sb. (N.S.) , vol.32 , pp. 3-60
    • Linnik, Yu.V.1
  • 13
    • 0002085755 scopus 로고    scopus 로고
    • The exceptional set in four prime squares problem
    • to appear
    • J. Y. Liu, and, M. C. Liu, The exceptional set in four prime squares problem, Illinois J. Math, to appear.
    • Illinois J. Math
    • Liu, J.Y.1    Liu, M.C.2
  • 14
    • 17644442222 scopus 로고    scopus 로고
    • The number of powers of 2 in a representation of large even integers (I)
    • Liu J. Y., Liu M. C., Wang T. Z. The number of powers of 2 in a representation of large even integers (I). Sci. China Ser. A. 41:1998;386-398.
    • (1998) Sci. China Ser. A , vol.41 , pp. 386-398
    • Liu, J.Y.1    Liu, M.C.2    Wang, T.Z.3
  • 15
    • 0001624523 scopus 로고    scopus 로고
    • The number of powers of 2 in a representation of large even integers (II)
    • Liu J. Y., Liu M. C., Wang T. Z. The number of powers of 2 in a representation of large even integers (II). Sci. China Ser. A. 41:1998;1255-1271.
    • (1998) Sci. China Ser. A , vol.41 , pp. 1255-1271
    • Liu, J.Y.1    Liu, M.C.2    Wang, T.Z.3
  • 17
    • 0001395361 scopus 로고    scopus 로고
    • Squares of primes and powers of two
    • Liu J. Y., Liu M. C., Zhan T. 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
  • 18
    • 0001004905 scopus 로고
    • An asymptotic formula for the number of solutions of a nonlinear equation for prime numbers
    • Plaksin V. A. 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
  • 20
    • 84941476225 scopus 로고
    • Über die summe aus einem quadrat und einem Primzahlquadrat
    • Rieger G. J. Über die Summe aus einem Quadrat und einem Primzahlquadrat. J. Reine Angew. Math. 251:1968;89-100.
    • (1968) J. Reine Angew. Math. , vol.251 , pp. 89-100
    • Rieger, G.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.