Concept
Incidence algebra
Related publications (4)
Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters
Michaël Unser, Julien René Pierre Fageot, John Paul Ward
A convolution algebra is a topological vector space X that is closed under the convolution operation. It is said to be inverse-closed if each element of X whose spectrum is bounded away from zero has a convolution inverse that is also part of the algebra. ...
SPRINGER BIRKHAUSER2019The Shifted Convolution of Generalized Divisor Functions
We prove an asymptotic formula for the shifted convolution of the divisor functions d(k)(n) and d(n) with k >= 4, which is uniform in the shift parameter and which has a power saving error term, improving results obtained previously by Fouvry and Tenenbaum ...
OXFORD UNIV PRESS2018Algebraic Divisibility Sequences Over Function Fields
In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields define ...
Australian Mathematical Society2012A Dirichlet Analogue Of The Free Monogenic Inverse Semigroup Via Mobius Inversion
The Mobius inversion formula of the free monogenic inverse semigroup is represented by the Mobius function for Cauchy product. In this short note we describe a Dirichlet analogue of this inverse semigroup. ...
Rocky Mountain Mathematics Consortium2011