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Volumn 65, Issue 213, 1996, Pages 397-425

Primes in arithmetic progressions

Author keywords

[No Author keywords available]

Indexed keywords

ARITHMETIC PROGRESSION; L FUNCTION; MODULE; PRIME NUMBER; PRIME NUMBER THEOREM;

ESTIMATION;

NUMBER THEORY;

EID: 0030352506 PISSN: 00255718 EISSN: None Source Type: Journal
DOI: 10.1090/S0025-5718-96-00669-2 Document Type: Article

Times cited : (92)

References (14)

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- with an appendix by P. Bateman, 3rd edition, Chelsea, New York
- E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, with an appendix by P. Bateman, 3rd edition, Chelsea, New York, 1974.
- (1974) Handbuch der Lehre von der Verteilung der Primzahlen
- Landau, E.¹

2
- 84966203701
- On the zeros of the Riemann zeta function in the critical strip
- J. van de Lune, H. J. J. te Riele, and D. T. Winter. On the zeros of the Riemann zeta function in the critical strip. IV, Math. Comp. 46 (1986), 667-681.
- (1986) IV, Math. Comp. , vol.46 , pp. 667-681
- Van De Lune, J.¹ Te Riele, H.J.J.² Winter, D.T.³

3
- 0039477163
- Ph.D. thesis, University of Illinois at Urbana-Champagne
- K. S. McCurley, Explicit estimates for functions of primes in arithmetic progressions, Ph.D. thesis, University of Illinois at Urbana-Champagne, 1981.
- (1981) Explicit Estimates for Functions of Primes in Arithmetic Progressions
- McCurley, K.S.¹

4
- 0009938715
- Explicit zero-free regions for Dirichlet L-functions
- _, Explicit zero-free regions for Dirichlet L-functions, J. Number Theory 19 (1984), 7-32.
- (1984) J. Number Theory , vol.19 , pp. 7-32

5
- 84968470142
- Explicit estimates for the error term in the prime number theorem for arithmetic progressions
- _, Explicit estimates for the error term in the prime number theorem for arithmetic progressions, Math. Comp. 42 (1984), 265-285.
- (1984) Math. Comp. , vol.42 , pp. 265-285

6
- 84968518953
- Explicit estimates for θ(X; 3, l) and ψ(X; 3, l)
- _, Explicit estimates for θ(X; 3, l) and ψ(X; 3, l), Math. Comp. 42 (1984), 287-296.
- (1984) Math. Comp. , vol.42 , pp. 287-296

7
- 0004161838
- Cambridge Univ. Press, Cambridge
- W. Press, B. Flannery, S. Teukolsky, and W. Vetterling, Numerical recipes. Cambridge Univ. Press, Cambridge, 1986.
- (1986) Numerical Recipes
- Press, W.¹ Flannery, B.² Teukolsky, S.³ Vetterling, W.⁴

8
- 0000981417
- Explicit bounds for some functions of prime numbers
- J. B. Rosser. Explicit bounds for some functions of prime numbers, Amer. J. Math. 63 (1941), 211-232.
- (1941) Amer. J. Math. , vol.63 , pp. 211-232
- Rosser, J.B.¹

9
- 84966213805
- Sharper bounds for the Chebysher functions θ(X) and ψ(X)
- J. B. Rosser and L. Schoenfeld. Sharper bounds for the Chebysher functions θ(X) and ψ(X), Math. Comp. 29 (1975), 243-269.
- (1975) Math. Comp. , vol.29 , pp. 243-269
- Rosser, J.B.¹ Schoenfeld, L.²

10
- 84966201811
- Numerical computations concerning the ERH
- R. Rumely, Numerical computations concerning the ERH, Math. Comp. 62 (1993), 415-440.
- (1993) Math. Comp. , vol.62 , pp. 415-440
- Rumely, R.¹

11
- 84966220677
- Sharper bounds for the Chebyshev functions θ(X) and ψ(X)
- L. Schoenfeld. Sharper bounds for the Chebyshev functions θ(X) and ψ(X). II. Math. Comp. 30 (1976), 337-360.
- (1976) II. Math. Comp. , vol.30 , pp. 337-360
- Schoenfeld, L.¹

12
- 0040068958
- Rational inequalities and zero of the Riemann zeta-function
- S. B. Stechkin. Rational inequalities and zero of the Riemann zeta-function. Trudy Mat. Inst. Steklov. 189 (1989), 110-116; English transl. in Proc. Steklov Inst. Math. 189 (1990), 127-134.
- (1989) Trudy Mat. Inst. Steklov. , vol.189 , pp. 110-116
- Stechkin, S.B.¹

13
- 21244474044
- English transl. in
- S. B. Stechkin. Rational inequalities and zero of the Riemann zeta-function. Trudy Mat. Inst. Steklov. 189 (1989), 110-116; English transl. in Proc. Steklov Inst. Math. 189 (1990), 127-134.
- (1990) Proc. Steklov Inst. Math. , vol.189 , pp. 127-134

14
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- A Miller algorithm for an incomplete Bessel function
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- Terras, R.¹

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