Analytic combinatorics aims to enable precise quantitative predictions of the properties of
large combinatorial structures. The theory has emerged over recent decades as essential …

This paper has two parts. The first part surveys Euler's work on the constant $\gamma=
0.57721\cdots $ bearing his name, together with some of his related work on the gamma …

A non-empty word w is a Lyndon word if and only if it is strictly smaller for the lexicographical
order than any of its proper suffixes. Such a word w is either a letter or admits a standard …

We survey iterations of polynomials and rational functions over finite fields. We show precise
information on periodicity and permutational properties for some classical functions over …

THE ANATOMY OF INTEGERS AND PERMUTATIONS Andrew Granville Preface We begin,
as in any mathematical paper, with definitions: Anat Page 1 THE ANATOMY OF INTEGERS …

Golomb and Gaal 15 study the number of permutations on n objects with largest cycle length
equal to k. They give explicit expressions on ranges n/(i+ 1)< k≤ n/i for i= 1, 2, ..., derive a …

Asymptotics of combinatorial structures with large smallest component Page 1 Journal of
Combinatorial Theory, Series A 107 (2004) 117–125 Asymptotics of combinatorial structures …

We investigate decomposable combinatorial labeled structures more fully, focusing on the
exp-log class of type a= 1 or 1/2. For instance, the modal length of the second longest cycle …

We study decomposable combinatorial labeled structures in the exp-log class, specifically,
two examples of type a= 1 and two examples of type a= 1/2. Our approach is to establish …

TAUBERIAN THEOREMS WITH APPLICATIONS TO ARITHMETICAL SEMIGROUPS AND
PROBABILISTIC COMBINATORICS Page 1 Annales Univ. Sci. Budapest., Sect. Comp. 34 (2011) …