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Non-abelian number fields with very large class numbers

- R. Daileda
- Mathematics
- 2006

1.1. Background and motivation. Let K be a number field and denote by H its group of ideal classes. Since H is finite an interesting question one may ask is how its size, the class number of K,… Expand

17 6- PDF

Maximal Class Numbers of CM Number Fields

- R. Daileda, R. Krishnamoorthy, A. Malyshev
- Mathematics
- 1 April 2010

Fix a totally real number eld F of degree at least 2. Under the assumptions of the generalized Riemann hypothesis and Artin’s conjecture on the entirety of Artin L-functions, we derive an upper bound… Expand

9 3- PDF

Budding Yeast, Branching Processes, and Generalized Fibonacci Numbers

- P. Olofsson, R. Daileda
- Mathematics
- 1 June 2011

Summary An application of branching processes to a problem in cell biology is described, in which the generalized Fibonacci numbers known as k-nacci numbers play a crucial role. The k-nacci sequence… Expand

6- PDF

Algebraic integers on the unit circle

- R. Daileda
- Mathematics
- 1 June 2006

Abstract By computing the rank of the group of unimodular units in a given number field, we provide a simple proof of the classification of the number fields containing algebraic integers of modulus… Expand

7- PDF

The Chinese Remainder Theorem

- R. Daileda
- 2018

Clearly x = 8 is a solution. If y were another solution, then we would have y ≡ 8(mod 5) and y ≡ 8(mod 6). Hence 5|y − 8 and 6|y − 8. As (5, 6) = 1, this means 30|y − 8 or y ≡ 8 (mod 30). As this… Expand

On primitivity of Dirichlet characters

- R. Daileda, N. Jones
- Mathematics
- 26 August 2015

Recall that a Dirichlet character is called imprimitive if it is induced from a character of smaller level, and otherwise it is called primitive. In this paper, we introduce a modification of… Expand

On the counting function for the generalized Niven numbers

- R. Daileda, Jessica Jou, Robert Lemke-Oliver, Elizabeth Rossolimo, Enrique Treviño
- Mathematics
- 2009

Etant donnes q ≥ 2 un entier naturel et f une fonction completement q-additive a valeurs dans l'ensemble des nombres entiers relatifs, on calcule une expression asymptotique de la fonction N f qui a… Expand

1- PDF

Muller’s Ratchet in Asexual Populations Doomed to Extinction

- Logan Chipkin, P. Olofsson, R. Daileda, R. B. Azevedo
- Biology
- 22 October 2018

Asexual populations are expected to accumulate deleterious mutations through a process known as Muller’s Ratchet. Lynch, Gabriel, and colleagues have proposed that the Ratchet eventually results in a… Expand

The Structure of ( Z / n Z ) ×

- R. Daileda
- 2018

(below we will define such a function to be a group ismorphism). This reduces the study of the general unit group (Z/nZ)× to understanding the unit group (Z/pnZ)× with prime power modulus. It turns… Expand