Search

Start Over Area of Honors Mathematics Degree B S Year 2011

1. Structure of Attractor Region for Natural Extension Map Associated with p-adic Continued Fractions

open_access
Open Access
Author:
Zydney, Adam Joseph
Title:
Structure of Attractor Region for Natural Extension Map Associated with p-adic Continued Fractions
Area of Honors:
Mathematics
Keywords:
attractor region
natural extension map
p-adic numbers
analysis
File:
Download zydney-thesis-FINAL.pdf
Thesis Supervisors:
Svetlana Katok, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor
Misha Guysinsky, Thesis Supervisor
Svetlana Katok, Thesis Supervisor

2. Extending Redheffer's Matrix to Arbitrary Arithmetic Functions

open_access
Open Access
Author:
Gillespie, Bryan Rae
Title:
Extending Redheffer's Matrix to Arbitrary Arithmetic Functions
Area of Honors:
Mathematics
Keywords:
Redheffer matrix
Mertens function
Redheffer-type matrix
arithmetic functions
embedding
general linear group
Dirichlet convolution
convolution inversion
sums
eigenvalues
characters
volume
Eulerian polynomials
File:
Download bgillespie-honors-thesis.pdf
Thesis Supervisors:
Robert Charles Vaughan, Thesis Supervisor
Robert Charles Vaughan, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor