منابع مشابه
Lacunary Partition Functions
We combine the theory of Bailey chains and the theory of binary quadratic forms to show that there are large classes of q-series which are not theta series but whose coefficients are almost all 0. We interpret some examples in terms of simple partition functions.
متن کاملProblems on Averages and Lacunary Maximal Functions
We prove three results concerning convolution operators and lacunary maximal functions associated to dilates of measures. First we obtain an H to L bound for lacunary maximal operators under a dimensional assumption on the underlying measure and an assumption on an Lp regularity bound for some p > 1. Secondly, we obtain a necessary and sufficient condition for L boundedness of lacunary maximal ...
متن کاملMore Precise Partition Abstractions
We define, for any partition of a state space and for formulas of the modal μ-calculus, two variants of precision for abstractions that have the partition set as state space. These variants are defined via satisfaction parity games in which the Refuter can replace a concrete state with any state in the same partition before, respectively after, a quantifier move. These games are independent of ...
متن کاملRestricted integer partition functions
For two sets A and M of positive integers and for a positive integer n, let p(n,A,M) denote the number of partitions of n with parts in A and multiplicities in M , that is, the number of representations of n in the form n = ∑ a∈Amaa where ma ∈M ∪{0} for all a, and all numbers ma but finitely many are 0. It is shown that there are infinite sets A and M so that p(n,A,M) = 1 for every positive int...
متن کاملGeneralised twisted partition functions
We consider the set of partition functions that result from the insertion of twist operators compatible with conformal invariance in a given 2D Conformal Field Theory (CFT). A consistency equation, which gives a classification of twists, is written and solved in particular cases. This generalises old results on twisted torus boundary conditions, gives a physical interpretation of Ocneanu's alge...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2003
ISSN: 0019-2082
DOI: 10.1215/ijm/1258138193