Reference Database
(references for the Prime Pages)
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This is the Prime Pages' interface to our BibTeX database.  Rather than being an exhaustive database, it just lists the references we cite on these pages.  Please let me know of any errors you notice.
References: [ Home | Author index | Key index | Search ]

All items with keys beginning with the letter(s): w

Wagon86
S. Wagon, "Primality testing," Math. Intelligencer, 8:3 (1986) 58-61.  MR 87m:11124
Wagstaff1988
S. S. Wagstaff, Jr., "Divisors of Mersenne numbers," Math. Comp., 40:161 (1983) 385--397.  MR679454
Wagstaff78
Wagstaff, Jr., S. S., "The irregular primes to 125,000," Math. Comp., 32 (1978) 583-591.  MR 58:10711 [Kummer was able to show that FLT was true for the regular primes.]
Wagstaff80
Wagstaff, Jr., S. S., "Large Carmichael numbers," Math. J. Okayama Univ., 22 (1980) 33-41.  MR 82c:10007
Wagstaff83
S. Wagstaff, "Divisors of Mersenne numbers," Math. Comp., 40:161 (January 1983) 385--397.  MR 84j:10052
Walfisz63
A. Walfisz, Weylsche Exponentialsummen in der neueren Zahlentheorie, VEB Deutscher Verlag der Wissenschaften, 1963.  Berlin, pp. 231, MR 36,:3737
Wall60
D. D. Wall, "Fibonacci series modulo m," Amer. Math. Monthly, 67 (1960) 67.  MR 22:10945
Wang84
Y. Wang editor, Goldbach conjecture, Series in Pure Mathematics Vol, 4, World Scientific, 1984.  Singapore, pp. xi+311, ISBN 9971-966-08-5; 9971-966-09-3. MR 87h:11102 (Annotation available)
Ward1955
Ward, M., "The intrinsic divisors of Lehmer numbers," Ann. of Math. (2), 62 (1955) 230--236.  MR0071446
Ward1959
M. Ward, "Tests for primality based on Sylvester's cyclotomic numbers," Pacific J. Math., 9 (1959) 1269--1272.  MR 21:7180
Washington82
L. Washington, Introduction to cyclotomic fields, Graduate Texts in Mathematics Vol, 83, Springer-Verlag, 1982.  New York, NY, pp. xi+389, ISBN 0-387-90622-3. (There is a later edition).  MR 85g:11001
WB1969
J. Walstrom and M. Berg, "Prime primes," Math. Mag., 42 (1969) 232.  MR0253974
WD86
H. C. Williams and H. Dubner, "The primality of R1031," Math. Comp., 47:176 (1986) 703--711.  MR 87k:11141
Weil1985
A. Weil, Number theory for beginners, Springer-Verlag, 1985.  New York, NY, ISBN 0-387-90381-X. MR 80e:10004
Wertheim1902
G. Wertheim, "Ein Beitrag zur Beurteilung des Pietro Antonio Cataldi," Bibliotheca Math., 3:3 (1902) 76--83. [Dickson [Dickson19] v.1, p.10., notes that this article summarizes Caltadi's Trattato [Cataldi1603].]
Western32
A. E. Western, "On Lucas's and Pepin's tests for the primeness of Mersenne numbers," J. London Math. Soc., 7 (1932) 130--137.
Westzynthius31
E. Westzynthius, "Über die verteilung der zahlen die zu den n ersten primzahlen teilerfremd sind," Comm. Phys. Math. Helingsfors, 5:5 (1931) 1-37.
Whitney1972
R. E. Whitney, "Initial digits for the sequence of primes," Amer. Math. Monthly, 79 (1972) 150--152.  MR 46:3472
Wieferich09
A. Wieferich, "Zum letzten Fermat'schen theorem," J. Reine Angew. Math., 136 (1909) 293--302.
Wilansky82
A. Wilansky, "Smith numbers," Two-Year College Math. J., 13 (1982) 21.
Wiles95
A. Wiles, "Modular elliptic curves and Fermat's last theorem," Ann. Math., 141:3 (1995) 443--551.  MR 96d:11071 (Annotation available)
Wilf82
H. Wilf, "What is an answer?," Amer. Math. Monthly, 89 (1982) 289--292.  MR 83c:05010 [Is there a formula for the primes? Wilf draws a distinction between "formula" and "good formula."]
Willans64
C. P. Willans, "On formulae for the Nth prime number," Math. Gazette, 48 (1964) 413--415.  MR 31:2198
Williams78
H. C. Williams, "Primality testing on a computer," Ars Combin., 5 (1978) 127--185.  MR 80d:10002 [A survey of the classical primality tests.]
Williams78b
H. C. Williams, "Some primes with interesting digit patterns," Math. Comp., 32 (1978) 1306--1310.  Corrigendum in 39 (1982), 759.  MR 58:484
Williams82
H. C. Williams, "The influence of computers in the development of number theory," Comput. Math. with Appl., 8 (1982) 75-93.  MR 83c:10002
Williams87
H. C. Williams, "Effective primality tests for some integers of the forms A 5n - 1 and A 7n - 1," Math. Comp., 48 (1987) 385--403.  MR 88b:11089
Williams88
H. C. Williams, "A note on the primality of 62n + 1 and 102n+ 1," Fibonacci Quart., 26 (1988) 296--305.  MR 89i:11013
Williams98
H. C. Williams, Édouard Lucas and primality testing, Canadian Math. Soc. Series of Monographs and Adv. Texts Vol, 22, John Wiley \& Sons, New York, NY, 1998.  pp. x+525, ISBN 0-471-14852-0. MR 2000b:11139 (Annotation available)
Wojick1995
Wójcik, J., "On systems of composite Lehmer numbers with prime indices," Colloq. Math., 69:1 (1995) 43--46.  Edited by A. Schinzel.  MR 96d:11122
Wrathall64
C. P. Wrathall, "New factors of Fermat numbers," Math. Comp., 18 (1964) 324--325.  MR 29:1167
Wrench61
J. W. Wrench, "Evaluation of Artin's constant and the twin-prime constant," Math. Comp., 15 (1961) 396--398.  MR 23:A1619
Wright1954
Wright, E. M., "A class of representing functions," J. London Math. Soc., 29 (1954) 63--71.  MR 15,288d
Wright1960
Wright, E. M., "A functional equation in the heuristic theory of primes," Math. Gazette, 44 (1960) 15--16.  MR 23:A873
WS79
H. C. Williams and E. Seah, "Some primes of the form (an-1)/(a-1)," Math. Comp., 33 (1979) 1337--1342.  MR 80g:10014
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