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papers

Publications (16)

math.NT2012

Analysis of Width-$w$ Non-Adjacent Forms to Imaginary Quadratic Bases

Clemens Heuberger, Daniel Krenn

math.NT2019

On the minimal Hamming weight of a multi-base representation

Daniel Krenn, Vorapong Suppakitpaisarn, Stephan Wagner

math.NT2015

Multi-Base Representations of Integers: Asymptotic Enumeration and Central Limit Theorems

Daniel Krenn, Dimbinaina Ralaivaosaona, Stephan Wagner

math.NT2012

Existence and Optimality of $w$-Non-adjacent Forms with an Algebraic Integer Base

Clemens Heuberger, Daniel Krenn

math.CO2016

An Extended Note on the Comparison-optimal Dual Pivot Quickselect

Daniel Krenn

math.CO2016

Counting Zeros in Random Walks on the Integers and Analysis of Optimal Dual-Pivot Quicksort

Martin AumÃ¼ller, Martin Dietzfelbinger, Clemens Heuberger +2

math.NT2012

On linear combinations of units with bounded coefficients and double-base digit expansions

Daniel Krenn, JÃ¶rg Thuswaldner, Volker Ziegler

math.CO2018

Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus

Clemens Heuberger, Daniel Krenn, Helmut Prodinger

math.NT2015

Canonical Trees, Compact Prefix-free Codes and Sums of Unit Fractions: A Probabilistic Analysis

Clemens Heuberger, Daniel Krenn, Stephan Wagner

math.NT2016

Non-Minimality of the Width-$w$ Non-adjacent Form in Conjunction with Trace One $Ï$-adic Digit Expansions and Koblitz Curves in Characteristic Two

Daniel Krenn, Volker Ziegler

math.CO2019

An Optimization-Based Sum-of-Squares Approach to Vizing's Conjecture

Elisabeth Gaar, Daniel Krenn, Susan Margulies +1

math.NT2013

Analysis of the Width-w Non-Adjacent Form in Conjunction with Hyperelliptic Curve Cryptography and with Lattices

Daniel Krenn

math.PR2019

The continuum PÃ³lya-like random walk

Daniel Krenn, Hosam Mahmoud, Mark Daniel Ward

math.NT2014

Compositions into Powers of $b$: Asymptotic Enumeration and Parameters

Daniel Krenn, Stephan Wagner

math.GR2013

Sylow $p$-groups of polynomial permutations on the integers mod $p^n$

Sophie Frisch, Daniel Krenn

math.NT2011

Optimality of the Width-$w$ Non-adjacent Form: General Characterisation and the Case of Imaginary Quadratic Bases

Clemens Heuberger, Daniel Krenn

Publications (16)

Analysis of Width-$w$ Non-Adjacent Forms to Imaginary Quadratic Bases

On the minimal Hamming weight of a multi-base representation

Multi-Base Representations of Integers: Asymptotic Enumeration and Central Limit Theorems

Existence and Optimality of $w$-Non-adjacent Forms with an Algebraic Integer Base

An Extended Note on the Comparison-optimal Dual Pivot Quickselect

Counting Zeros in Random Walks on the Integers and Analysis of Optimal Dual-Pivot Quicksort

On linear combinations of units with bounded coefficients and double-base digit expansions

Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus

Canonical Trees, Compact Prefix-free Codes and Sums of Unit Fractions: A Probabilistic Analysis

Non-Minimality of the Width-$w$ Non-adjacent Form in Conjunction with Trace One $Ï$-adic Digit Expansions and Koblitz Curves in Characteristic Two

An Optimization-Based Sum-of-Squares Approach to Vizing's Conjecture

Analysis of the Width-w Non-Adjacent Form in Conjunction with Hyperelliptic Curve Cryptography and with Lattices

The continuum PÃ³lya-like random walk

Compositions into Powers of $b$: Asymptotic Enumeration and Parameters

Sylow $p$-groups of polynomial permutations on the integers mod $p^n$

Optimality of the Width-$w$ Non-adjacent Form: General Characterisation and the Case of Imaginary Quadratic Bases

Non-Minimality of the Width-$w$ Non-adjacent Form in Conjunction with Trace One $Ï$-adic Digit Expansions and Koblitz Curves in Characteristic Two