On the Shanks-Rényi race problem

Jerzy Kaczorowski

Acta Arithmetica (1996)

  • Volume: 74, Issue: 1, page 31-46
  • ISSN: 0065-1036

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Jerzy Kaczorowski. "On the Shanks-Rényi race problem." Acta Arithmetica 74.1 (1996): 31-46. <http://eudml.org/doc/206835>.

@article{JerzyKaczorowski1996,
author = {Jerzy Kaczorowski},
journal = {Acta Arithmetica},
keywords = {Shanks-Rényi race problem; primes in arithmetic progressions; generalized Riemann hypothesis; reduced residue classes},
language = {eng},
number = {1},
pages = {31-46},
title = {On the Shanks-Rényi race problem},
url = {http://eudml.org/doc/206835},
volume = {74},
year = {1996},
}

TY - JOUR
AU - Jerzy Kaczorowski
TI - On the Shanks-Rényi race problem
JO - Acta Arithmetica
PY - 1996
VL - 74
IS - 1
SP - 31
EP - 46
LA - eng
KW - Shanks-Rényi race problem; primes in arithmetic progressions; generalized Riemann hypothesis; reduced residue classes
UR - http://eudml.org/doc/206835
ER -

References

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  1. [1] A. Berger, Sur une sommation de quelques séries, Nova Acta Regiae Soc. Sci. Upsaliensis (2) 12 (1883), 29-31. 
  2. [2] S. Chowla and A. Selberg, On Epstein's zeta-functions, II, J. Reine Angew. Math. 227 (1967), 86-110. Zbl0166.05204
  3. [3] C. Deninger, On the analogue of the formula of Chowla and Selberg for real quadratic fields, J. Reine Angew. Math. 351 (1984), 171-191. Zbl0527.12009
  4. [4] J. Kaczorowski, The k-functions in multiplicative number theory, I. On complex explicit formulae, Acta Arith. 56 (1990), 195-211. Zbl0716.11040
  5. [5] J. Kaczorowski, The k-functions in multiplicative number theory, IV. On a method of A. E. Ingham, Acta Arith. 57 (1991), 231-244. Zbl0726.11047
  6. [6] J. Kaczorowski, A contribution to the Shanks-Rényi race problem, Quart. J. Math. 44 (1993), 451-458. Zbl0799.11030
  7. [7] J. Kaczorowski, On the Shanks-Rényi race problem mod 5, J. Number Theory 50 (1995), 106-118. Zbl0822.11063
  8. [8] J. Kaczorowski, Results on the distribution of primes, J. Reine Angew. Math. 446 (1994), 89-113. Zbl0783.11033
  9. [9] S. Knapowski and P. Turán, Comparative prime-number theory, I, Acta Math. Hungar. 13 (1962), 299-314. Zbl0111.04506
  10. [10] S. Lang, Cyclotomic Fields, Springer, 1990. 
  11. [11] M. Lerch, Sur quelques formules relatives au nombre des classes, Bull. Sci. Math. (2) 21 (1897), 302-303. 

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