Identifier
etd-01312012-141528
Degree
Doctor of Philosophy (PhD)
Department
Mathematics
Document Type
Dissertation
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.
Date
2012
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Recommended Citation
Bakhova, Maiia J., "A numerical investigation of Apéry-like recursions and related Picard-Fuchs equations" (2012). LSU Doctoral Dissertations. 729.
https://repository.lsu.edu/gradschool_dissertations/729
Committee Chair
Perlis, Robert
DOI
10.31390/gradschool_dissertations.729