# John Jones - Publications

 Outside Links ASU Main ASU site Department of Mathematics and Statistics The Department of Mathematics and Statistics main site

## Papers

1. Galois Number Fields with Small Root Discriminant, with D. Roberts, submitted.
2. A Database of Local Fields, with D. Roberts, to appear in JSC.
3. Nonic 3-adic Fields, with D. Roberts, in ANTS VI, Springer Lecture Notes in Computer Science, 3076, 293-308 (2004).
A revision correcting an error in the published version.
4. Septic Fields with Discriminant ± 2a 3b, with D. Roberts, Math Comp., 72, 1975-1985, (2003)
5. Sextic Number Fields with Discriminant (-1)j 2a 3b, with D. Roberts, in Number Theory: Fifth Conference of the Canadian Number Theory Association, CRM Proceedings and Lecture Notes, 19, American Math. Soc., 141-172 (1999).
6. Timing Analysis of Targeted Hunter Searches, with D. Roberts, in ANTS III, Springer Lecture Notes in Computer Science, 1423, 412-423 (1998)
7. Zero free regions for a rational function with applications, with B. Welfert, Advances in Computational Mathematics, 3, 265-289 (1995)
8. Plater's p-adic orthogonality relation for Abelian varieties, Houston J. of Math., 21, 261-282 (1995).
9. Iwasawa L-functions of elliptic curves with additive reduction, J. of Number Theory, 51, 103-117 (1995).
10. On the equation $x^4+mx^2y^2+y^4=z^2$, with A. Bremner, J. of Number Theory, 50, 286-298 (1995)
11. Iwasawa L-functions and the mysterious $\cal L$-invariant, in p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, AMS Contemporary Math Series 165, 63-70 (1994).
12. On the local norm map for abelian varieties with good ordinary reduction, J. of Algebra 138, 420-423 (1991).
13. A comparison of Selmer groups, Manuscripta Math. 68, 391-398 (1990).
14. p-adic heights for semi-stable abelian varieties, Compositio Math. 73, 31-56 (1990).
15. Iwasawa L-functions for multiplicative abelian varieties, Duke J. of Math. 59, 399-420 (1989).

## Books

1. Discovering Number Theory, with J. Holt, W.H. Freeman and Company, New York (2001)
2. Instructor's Manual for Discovering Number Theory cd-rom, with J. Holt, W.H. Freeman and Company, New York (2001)
3. Arithmetic Geometry: Conference on Arithmetic Geometry with an Emphasis on Iwasawa Theory, March 15-18, 1993 at Arizona State University, coeditor with N. Childress, AMS Contemporary Math. Series, 174, (1994)

## Pedagogy Articles

1. Discovering Number Theory, with J. Holt. Proceedings for the 10th Annual International Conference on Technology in Collegiate Mathematics, 211-215, (1998)
2. Teaching Number Theory with CAS or Java, with J. Holt, Proceedings for the 11th Annual International Conference on Technology in Collegiate Mathematics, 178-182, (1999)
Last Update: September 11, 2005