Variations on a theme of Romanoff

International Journal of Mathematics

Volumn 7, Issue 3, 1996, Pages 373-391

  Murty, M Ram ^a   Rosen, Michael ^b   Silverman, Joseph H ^b  

^a MCGILL UNIVERSITY   (Canada)

^b BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030514533     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X96000220     Document Type: Article

References (14)

1. T. Apostol, Introduction to Analytic Number Theory, UTM, Springer-Verlag, 1976.
2. H. Bilharz, Primdivisoren mit vorgegebener Primitivwürzel, Math. Annalen 114 (1937), 476-492.
3. P. Erdös, On some problems of Bellman and a theorem of Romanoff, J. Chinese Math. Soc. 1 (1951), 409-421.
4. -1, Israel J. Math. 9 (1971), 43-48.
5. P. Erdös and R. Murty, On the order of a (mod p), unpublished.
6. P. Erdös and P. Turan, Ein zahlentheoretischer Satz, Bull. de l'institut de Math. et Mêc. a l'université Konybycheff de Tomsk I (1935), 101-103.
7. P. Erdös and P. Turan, Über die vereinfachung eines Landauschen Satzes, Bull. de l'institut de Math. et Mêc. a l'université Konybycheff de Tomsk I (1935), 144-147.
8. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, fourth edition, Oxford Univ. Press, 1975.
9. E. Landau, Verschärfung eines Romanoffschen Satzes, Acta Arith. (1935), 43-62.
10. S. Lang, Fundamentals of Diophantine Geometry, Springer-Verlag, 1983.
11. C. Pomerance, On primitive divisors of Mersenne numbers, Acta Arithmetica XLVI (1986), 355-367.
12. N. P. Romanoff, Über einige Sätze der additiven Zahlentheorie, Math. Ann. 109 (1934), 668-678.
13. M. Rosen, A generalization of Mertens' theorem, preprint, 1995.
14. J. H. Silverman, The Arithmetic of Elliptic Curves, Graduate Texts in Math. 106, Springer-Verlag, 1986.