Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 4 of 4 for “"Binomial coefficients"”.
-
Characterizing the properties of specific binomial coefficients in congruence relations
<p>The number theoretic conjecture we examine in this paper originates when trying to construct a characterizable generating set for the complex cobordism polynomial ring. To date there is no efficient, universal method for characterizing such a generating set. Wilfong conjectures that smooth …
-
Around the Fibonacci Numeration System
… and Wilf, we give a formula for R(n) in terms of binomial coefficients modulo two.
-
Combinatorial aspects of total positivity
… Eulerian numbers, which interpolates between the binomial coefficients, the Eulerian numbers, and the Narayana numbers. In the second part of my thesis I introduce the totally positive part of a tropical variety, and study this object in the case of the Grassmannian. I conjecture a tight relation …
-
Symbolic Evaluations Inspired by Ramanujan's Series for 1/pi
… harmonic sums involving squared central binomial coefficients, as in the family of Ramanujan-type series indicated below, letting $H_{n} = 1 + \frac{1}{2} + \cdots + \frac{1}{n}$ denote the $n^{\text{th}}$ harmonic number: \begin{align*} & \sum _{n=1}^{\infty } \frac{\binom{2 n}{n}^2 …