On the Shanks-Rényi race problem

• Autorzy: Jerzy Kaczorowski
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996
• Tom: 74
• Numer: 1
• Strony: 31-46

Daty

wydano

1996

otrzymano

1994-06-18

poprawiono

1995-03-17

Twórcy

autor

Jerzy Kaczorowski

• Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

Bibliografia

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