On arithmetic progressions having only few different prime factors in comparison with their length

• Autorzy: Pieter Moree
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 70
• Numer: 4
• Strony: 295-312

Daty

wydano

1995

otrzymano

1991-10-08

poprawiono

1994-11-07

Twórcy

autor

Pieter Moree

• Department of Mathematics, Princeton University, Fine Hall - Washington Road, Princeton, New Jersey 08544-1000, U.S.A.

Bibliografia

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• [Mc2] K. S. McCurley, Explicit estimates for the error term in the prime number theorem for arithmetic progressions, Math. Comp., 265-285.
• [Mo1] P. Moree, Bertrand's Postulate for primes in arithmetical progressions, Comput. Math. Appl. 26 (1993), 35-43.
• [Mo2] P. Moree, Psixyology and diophantine equations, Ph.D. thesis, Leiden University, 1993.
• [RRu] O. Ramaré and R. Rumely, Primes in arithmetic progressions, Math. Comp., to appear.
• [Ri] P. Ribenboim, The Book of Prime Number Records, Springer, New York, 1989 (2nd ed., 1990).
• [RS1] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94.
• [RS2] J. B. Rosser and L. Schoenfeld, Sharper bounds for Chebyshev functions θ(x) and ψ(x), Math. Comp. 29 (1975), 243-269.
• [Ru] R. Rumely, Numerical computations concerning the ERH, Math. Comp. 62 (1993), 415-440.
• [ST1] T. N. Shorey and R. Tijdeman, On the number of prime factors of an arithmetical progression, Sichuan Daxue Xuebao 26 (1989), 72-74.
• [ST2] T. N. Shorey and R. Tijdeman, On the number of prime factors of a finite arithmetical progression, Acta Arith. 61 (1992), 375-390.
• [ST3] T. N. Shorey and R. Tijdeman, On the product of terms of a finite arithmetic progression, in: Proc. Conf. Diophantine Approximations and Transcendence Theory, Y.-N. Nakai (ed.), RIMS Kokyuroku 708, Kyoto, 1990, 51-62.
• [ST4] T. N. Shorey and R. Tijdeman, On the greatest prime factor of an arithmetical progression III, in: Proc. Conf. Luminy Transcendence Theory, 1990, Ph. Philippon (ed.), de Gruyter, Berlin, 1992.