| Type of Document |
Dissertation |
| Author |
Bakhova, Maiia J.
|
| Author's Email Address |
mayab@math.lsu.edu |
| URN |
etd-01312012-141528 |
| Title |
A Numerical Investigation of Apery-like Equations and Related Picard-Fuchs Equations |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Perlis, Robert |
Committee Chair |
| Adkins, William |
Committee Member |
| Gilmer, Patrick |
Committee Member |
| He, Hongyu |
Committee Member |
| Wu, Hsiao-Chun |
Dean's Representative |
|
| Keywords |
- Picard-Fuchs equations
- numerical investigation of recursions
- Verrill
- Zagier
- Apery
|
| Date of Defense |
2011-12-02 |
| Availability |
unrestricted |
Abstract
In this work we investigate a generalization of a recursion which was used by Apery in his proof of irrationality of the zeta function values at 2 and 3. It is a continuation of the work of Zagier , who considered generalization of the first equation and numerically investigated it. The study is made for two generalizations of the second equation, one used the mirror symmetry idea from the theory of Calabi-Yau varieties and another worked with recursion. There were discovered connections between them.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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thesis.pdf |
188.59 Kb |
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