This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cycloto
Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete ve
Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which enc
AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately b
The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stoch