papers
Publications (19)
math.DS2014
Shrinking targets for non-autonomous dynamical systems corresponding to Cantor series expansions
Lior Fishman, Bill Mance, David Simmons +1
math.NT2014
Number theoretic applications of a class of Cantor series fractal functions, II
Brian Li, Bill Mance
math.NT2016
Normality of different orders for Cantor series expansions
Dylan Airey, Bill Mance
math.NT2012
Cantor series constructions of sets of normal numbers
Bill Mance
math.NT2010
On winning sets and non-normal numbers
Bill Mance
math.NT2018
On the transcendence of certain real numbers
Veekesh Kumar, Bill Mance
math.NT2014
On the Hausdorff dimension of countable intersections of certain sets of normal numbers
Bill Mance
math.NT2011
Typicality of normal numbers with respect to the Cantor series expansion
Bill Mance
math.NT2010
Construction of normal numbers with respect to the $Q$-Cantor series expansion for certain $Q$
Bill Mance
math.NT2015
Unexpected distribution phenomenon resulting from Cantor series expansions
Dylan Airey, Bill Mance
math.NT2010
Cantor Series Constructions Contrasting Two Notions of Normality
Christian Altomare, Bill Mance
math.NT2015
Number theoretic applications of a class of Cantor series fractal functions,I
Bill Mance
math.NT2012
Bounded Lüroth expansions: applying Schmidt games where infinite distortion exists
Bill Mance, Jimmy Tseng
math.NT2014
Construction of μ-normal sequences
Manfred G. Madritsch, Bill Mance
math.NT2014
Normality preserving operations for Cantor series expansions and associated fractals part I
Dylan Airey, Bill Mance
math.NT2014
Normality preserving operations for Cantor series expansions and associated fractals part II
Dylan Airey, Bill Mance, Joseph Vandehey
math.NT2014
Normal number constructions for Cantor series with slowly growing bases
Dylan Airey, Bill Mance, Joseph Vandehey
math.NT2014
Normal equivalencies for eventually periodic basic sequences
Dylan Airey, Bill Mance
math.NT2014
On the Hausdorff dimension of some sets of numbers defined through the digits of their $Q$-Cantor series expansions
Dylan Airey, Bill Mance