메뉴 건너뛰기




Volumn 128, Issue 4, 1999, Pages 283-313

Squares of primes and powers of 2

Author keywords

Circle method; Generalized Goldbach problems; Sieve methods

Indexed keywords


EID: 0001395361     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006050050065     Document Type: Article
Times cited : (51)

References (27)
  • 1
    • 0001917104 scopus 로고
    • Lagrange's four squares theorem with almost prime variables
    • BRÜDERN J, FOUVRY E (1994) Lagrange's four squares theorem with almost prime variables. J reine angew Math 454: 59-96
    • (1994) J Reine Angew Math , vol.454 , pp. 59-96
    • Brüdern, J.1    Fouvry, E.2
  • 3
    • 0000193082 scopus 로고
    • Primes and powers of 2
    • GALLAGHER PX (1975) Primes and powers of 2. Invent Math 29:125-142
    • (1975) Invent Math , vol.29 , pp. 125-142
    • Gallagher, P.X.1
  • 5
    • 0000168817 scopus 로고
    • 2 where p and q are odd primes
    • 2 where p and q are odd primes. Acta Arith 29: 257-274
    • (1976) Acta Arith , vol.29 , pp. 257-274
    • Greaves, G.1
  • 6
    • 33646862107 scopus 로고
    • Some problems of "partitio numerorum" III: On the expression of a number as a sum of primes
    • HARDY GH, LITTLEWOOD JE (1923) Some problems of "partitio numerorum" III: On the expression of a number as a sum of primes. Acta Math 44: 1-70.
    • (1923) Acta Math , vol.44 , pp. 1-70
    • Hardy, G.H.1    Littlewood, J.E.2
  • 7
    • 0002037732 scopus 로고
    • Some results in the additive prime number theory
    • HUA LK (1938) Some results in the additive prime number theory. Quart J Math (Oxford) 9: 68-80
    • (1938) Quart J Math (Oxford) , vol.9 , pp. 68-80
    • Hua, L.K.1
  • 9
    • 0004133524 scopus 로고
    • Beijing Science press; English version Berlin Heidelberg New York: Springer
    • HUA, LK (1982) Introduction to Number Theory. Beijing Science press; English version Berlin Heidelberg New York: Springer
    • (1982) Introduction to Number Theory
    • Hua, L.K.1
  • 10
    • 0000520253 scopus 로고
    • Large values of Dirichlet polynomials, III
    • HUXLEY MN (1975) Large values of Dirichlet polynomials, III. Acta Arith 26: 435-444
    • (1975) Acta Arith , vol.26 , pp. 435-444
    • Huxley, M.N.1
  • 11
    • 0001216048 scopus 로고
    • Rosser's sieve
    • IWANIEC H (1980) Rosser's sieve. Acta Arith 36: 171-202
    • (1980) Acta Arith , vol.36 , pp. 171-202
    • Iwaniec, H.1
  • 12
    • 0002723939 scopus 로고
    • On Linnik's constant
    • JUTILA M (1977): On Linnik's constant. Math Scand 41: 45-62
    • (1977) Math Scand , vol.41 , pp. 45-62
    • Jutila, M.1
  • 14
    • 0001494938 scopus 로고
    • Prime numbers and powers of two
    • LINNIK YV (1951) Prime numbers and powers of two. Trudy Mat Inst Steklov 38: 151-169
    • (1951) Trudy Mat Inst Steklov , vol.38 , pp. 151-169
    • Linnik, Y.V.1
  • 15
    • 0003072289 scopus 로고
    • Addition of prime numbers and powers of one and the same number
    • LINNIK, YV (1953) Addition of prime numbers and powers of one and the same number. Mat Sb (N.S.) 32: 3-60
    • (1953) Mat Sb (N.S.) , vol.32 , pp. 3-60
    • Linnik, Y.V.1
  • 16
    • 0040659136 scopus 로고
    • Hardy-Littlewood problem on the representation as the sum of a prime and two squares
    • LINNIK YV (1959) Hardy-Littlewood problem on the representation as the sum of a prime and two squares. Dokl Akad Nauk SSSR 124:29-30
    • (1959) Dokl Akad Nauk SSSR , vol.124 , pp. 29-30
    • Linnik, Y.V.1
  • 17
    • 0038881167 scopus 로고
    • An asymptotic formula in an additive problem of Hardy and Littlewood
    • LINNIK YV (1960) An asymptotic formula in an additive problem of Hardy and Littlewood. Izv Akad Nauk SSSR, Ser Mat 24: 629-706
    • (1960) Izv Akad Nauk SSSR, Ser Mat , vol.24 , pp. 629-706
    • Linnik, Y.V.1
  • 18
    • 0002521769 scopus 로고
    • Small prime solutions of linear equations
    • DE KONINCK JM, LEVESQUE C (eds)
    • LIU MC. TSANG KM (1989) Small prime solutions of linear equations. In: DE KONINCK JM, LEVESQUE C (eds) Théorie des Nombres, pp 595-624
    • (1989) Théorie des Nombres , pp. 595-624
    • Liu, M.C.1    Tsang, K.M.2
  • 19
    • 0001004905 scopus 로고
    • An asymptotic formula for the number of solutions of a nonlinear equation for prime numbers
    • PLAKSIN VA (1982) An asymptotic formula for the number of solutions of a nonlinear equation for prime numbers. Math USSR Izv 18: 275-348
    • (1982) Math USSR Izv , vol.18 , pp. 275-348
    • Plaksin, V.A.1
  • 20
    • 0004277722 scopus 로고
    • Berlin Heidelberg New York: Springer
    • PRACHAR K (1957) Primzahlverteilung. Berlin Heidelberg New York: Springer
    • (1957) Primzahlverteilung
    • Prachar, K.1
  • 21
    • 84941476225 scopus 로고
    • Über die summe aus einem quadrat und einem primzahlquadrat
    • RIEGER GJ (1968) Über die Summe aus einem Quadrat und einem Primzahlquadrat. J reine angew Math 251: 89-100
    • (1968) J Reine Angew Math , vol.251 , pp. 89-100
    • Rieger, G.J.1
  • 22
    • 0001493936 scopus 로고
    • Über einige sätze der additiven Zahlentheorie
    • ROMANOFF NP (1934) Über einige Sätze der additiven Zahlentheorie. Math Ann 57: 668-678
    • (1934) Math Ann , vol.57 , pp. 668-678
    • Romanoff, N.P.1
  • 23
    • 0008333468 scopus 로고
    • Representation of integers as a sum of two h-th powers of primes
    • SHIELDS P (1979) Representation of integers as a sum of two h-th powers of primes. Proc London Math Soc (Ser 3) 38: 369-384
    • (1979) Proc London Math Soc (Ser 3) , vol.38 , pp. 369-384
    • Shields, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.