Math @ Duke
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Papers Published
- Joshua Holden, On the Fontaine-Mazur Conjecture for number fields and an analogue for function fields,
Journal of Number Theory 81 (2000), no. 1, 16--47
[MRCMP 1 743 506], [available here] [abs]
- Joshua Holden, Lang Moore, David Smith, and Jim Tomberg, Mathematica Tutor,
Connected Curriculum Project
[available here]
- Joshua Holden, Linear Filters,
Connected Curriculum Project
[available here]
- Joshua Holden, Comparison of Algorithms to Calculate ``Quadratic Irregularity'' of Prime Numbers,
In: Proceedings of the Conference on The Mathematics of Public-Key Cryptography, June 12--17, 1999, Fields Institute, Toronto
[available here]
- Joshua Holden, Irregularity of prime numbers over real quadratic fields,
In: Algorithmic number theory: third international symposium;proceedings, no. 1423 in Springer Lecture Notes in Computer Science, Springer-Verlag, 1998
[MR2000m:11113], [available here] [abs]
Papers Accepted
- Joshua Brandon Holden, Distribution of Values of Real Quadratic Zeta Functions,
Proceedings of the DIMACS Workshop on Unusual Applications of Number Theory
, accepted 2000 [math.NT/0010285] [abs]
- Joshua Holden, Comparison of algorithms to calculate quadratic irregularity of prime numbers,
Mathematics of Computation
, accepted 2000 [math.NT/0010286], [available here] [abs]
Papers Submitted
- Joshua Brandon Holden, A quantitative Fontaine-Mazur analogue for function fields,
Proceedings of the American Mathematical Society
, submitted 2000 [math.NT/0010284] [abs]
- Joshua Brandon Holden, First-hit analysis of algorithms for computing quadratic irregularity,
Mathematics of Computation
, submitted 2000 [math.NT/0011054] [abs]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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