A report made to the Class of Physical and Mathematical Sciences of the Imperial Institute of France, on the two first paragraphs of the preceding work.

2012 ◽  
pp. 231-295
Author(s):  
M. Le Gallois
Keyword(s):  
Preceding Work ◽  
Imperial Institute ◽  
Mathematical Sciences

Mathematical Sciences Strand Outreach Work

2011 ◽  
Vol 11 (3) ◽  
pp. 52-56
Author(s):  
Hazel Lewis
Keyword(s):  
Outreach Work ◽  
Mathematical Sciences

Increasing the Supply of Mathematical Sciences Graduates

2006 ◽  
Vol 6 (4) ◽  
pp. 3-8
Author(s):  
Michael J. Grove ◽  
Duncan A. Lawson
Keyword(s):  
Mathematical Sciences

scholarly journals Coleman integration for even-degree models of hyperelliptic curves

2015 ◽  
Vol 18 (1) ◽  
pp. 258-265 ◽  
Author(s):  
Jennifer S. Balakrishnan
Keyword(s):  
Number Theory ◽  
Computer Science ◽  
Hyperelliptic Curves ◽  
Open Book ◽  
Line Integral ◽  
Book Series ◽  
Numerical Examples ◽  
Lecture Notes ◽  
Integration Algorithms ◽  
Mathematical Sciences

The Coleman integral is a $p$-adic line integral that encapsulates various quantities of number theoretic interest. Building on the work of Harrison [J. Symbolic Comput. 47 (2012) no. 1, 89–101], we extend the Coleman integration algorithms in Balakrishnan et al. [Algorithmic number theory, Lecture Notes in Computer Science 6197 (Springer, 2010) 16–31] and Balakrishnan [ANTS-X: Proceedings of the Tenth Algorithmic Number Theory Symposium, Open Book Series 1 (Mathematical Sciences Publishers, 2013) 41–61] to even-degree models of hyperelliptic curves. We illustrate our methods with numerical examples computed in Sage.

Sign in / Sign up

Export Citation Format

Share Document