The gaussian zoo

Experimental Mathematics

Volumn 10, Issue 2, 2001, Pages 161-173

  Renze, John ^a   Wagon, Stan ^b   Wick, Brian ^c  

^a NORTHWESTERN UNIVERSITY   (United States)

^b MACALESTER COLLEGE   (United States)

^c UNIVERSITY OF ALASKA ANCHORAGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035611439     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2001.10504440     Document Type: Article

References (16)

1. H.M. Edwards, Riemann's zeta function, Pure and Applied Mathematics 58, Academic Press, New York and London, 1974.
2. J. Friedlander, A. Granville, A. Hildebrand, and H. Maier, "Oscillation theorems for primes in arithmetic progressions and for sifting functions", J. Amer. Math. Soc. 4:1 (1991), 25-86.
3. W. H. Furry, "Number of primes and probability considerations", Nature 150 (1942), 120-121.
4. E. Gethner and H. M. Stark, "Periodic Gaussian moats", Experiment. Math. 6:4 (1997), 289-292.
5. N. R. Hardman and J. H. Jordan, "A minimum problem connected with complete residue systems in the Gaussian integers", Amer. Math. Monthly 74 (1967), 559-561.
6. G. H. Hardy and J. E. Littlewood, "Some problems of 'Partitio Numerorum' III: On the expression of a number as a sum of primes", Acta Math. 44 (1922), 1-70. Reprinted as pp. 561-630 of Collected Papers of G. H. Hardy, vol. 1, Oxford, Clarendon Press.
7. G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Fourth ed., Oxford University Press, New York, 1960. Fifth ed., 1979.
8. K. F. Ireland and M. I. Rosen, A classical introduction to modem number theory, GTM 84, Springer, New York, 1982. Second ed., 1990.
9. J. R. Jordan and C. J. Pot ratz, "Complete residue systems in th e Gaussian integers", Math. Mag. 38 (1965), 1-12.
10. J. H. Jordan and J. R. Rabung, "Local distribution of Gaussian primes", J. Number Theory 8:1 (1976), 43-51.
11. H. Riesel, Prime numbers and computer methods for factorization, Birkhauser, Boston, 1985. Second ed., 1994.
12. G. Tenenbaum and M. Mendes France, The prime numbers and their distribution, Amer. Math. Soc., Providence, RI, 2000.
13. S. Uchiyama, "On some products involving primes", Proc. Amer. Math. Soc. 28 (1971), 629-630.
14. I. Vardi, Computational recreations in Mathemat ica, Addison-Wesley, Redwood City, CA, 1991.
15. I. Vardi, "Prime percolation", Experiment. Math. 1:3 (1998), 275-289.
16. I. Vardi, "Deterministic percolation", Comm. Math. Phys. 201:1 (1999), 43-66.