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Volumn 9, Issue 4, 2000, Pages 535-570

Biases in the shanks-rénvi prime number race

Author keywords

Chebyshev's bias; Comparative prime number theory; Primes in arithmetic progressions; Shanks Renyi race

Indexed keywords


EID: 0034348624     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2000.10504659     Document Type: Article
Times cited : (25)

References (13)
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  • 2
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  • 3
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    • On the analogue of the formula of Chowla and Selberg for real quadratic fields
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    • Deninger, C.1
  • 4
    • 0030470067 scopus 로고    scopus 로고
    • On the Shanks- Renyi race problem
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    • (1996) Acta Arith , vol.74 , Issue.1 , pp. 31-46
    • Kaczorowski, J.1
  • 5
    • 0001641053 scopus 로고
    • Comparative prime-number theory, I: Introduction
    • S. Knapowski and P. Turan, “Comparative prime-number theory, I: Introduction”, Acta Math. Acad. Sci. Hungar. 13 (1962), 299-314.
    • (1962) Acta Math. Acad. Sci. Hungar , vol.13 , pp. 299-314
    • Knapowski, S.1    Turan, P.2
  • 6
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    • Distribution des nombres premiers
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    • Littlewood, J.E.1
  • 7
    • 0002152495 scopus 로고
    • The zeta function and prime numbers
    • edited by P. Ribenboim, Queen’s Papers in Pure and Appl. Math. 54, Queen’s Univ., Kingston, Ont
    • H. L. Montgomery, “The zeta function and prime numbers”, pp. 1-31 in Proceedings of the Queen’s Number Theory Conference (Kingston, ON, 1979), edited by P. Ribenboim, Queen’s Papers in Pure and Appl. Math. 54, Queen’s Univ., Kingston, Ont., 1980.
    • (1980) Proceedings of the Queen’s Number Theory Conference (Kingston, ON, 1979) , pp. 1-31
    • Montgomery, H.L.1
  • 8
    • 0000275183 scopus 로고
    • Uber eine Aufgabe der Wahr- scheinlichkeitsrechnung betreffend die Irrfahrt im Stras- sennetz
    • G. Polya, “Uber eine Aufgabe der Wahr- scheinlichkeitsrechnung betreffend die Irrfahrt im Stras- sennetz”, Math. Ann. 84 (1921), 149-160.
    • (1921) Math. Ann , vol.84 , pp. 149-160
    • Polya, G.1
  • 10
    • 84966201811 scopus 로고
    • Numerical computations concerning the ERH
    • R. Rumely, “Numerical computations concerning the ERH”, Math. Comp. 61:203 (1993), 415-440, S17-S23.
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  • 11
    • 1642628254 scopus 로고
    • On Epsteins zeta-function
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    • (1967) J. Reine Angew. Math , vol.227 , pp. 86-110
    • Selberg, A.1    Chowla, S.2
  • 12
    • 0000664382 scopus 로고
    • Quadratic residues and the distribution of primes
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    • Shanks, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.