Edit Profile (opens in new tab) Krenn, Daniel Compute Distance To: Compute Author ID: krenn.daniel Published as: Krenn, Daniel; Krenn, D. External Links: MGP · ORCID Documents Indexed: 26 Publications since 2013 Reviewing Activity: 2 Reviews Co-Authors: 17 Co-Authors with 24 Joint Publications 556 Co-Co-Authors all top 5 Co-Authors 2 single-authored 12 Heuberger, Clemens 7 Wagner, Stephan G. 3 Gaar, Elisabeth 3 Prodinger, Helmut 2 Aumüller, Martin 2 Dietzfelbinger, Martin 2 Margulies, Susan 2 Wiegele, Angelika 2 Ziegler, Volker 1 Frisch, Sophie 1 Kropf, Sara 1 Lipnik, Gabriel F. 1 Ralaivaosaona Dimbinaina 1 Ralaivaosaona, Dimbinaina 1 Shallit, Jeffrey O. 1 Suppakitpaisarn, Vorapong 1 Thuswaldner, Jörg Maximilian all top 5 Serials 3 Journal of Number Theory 3 Algorithmica 2 Theoretical Computer Science 1 Discrete Applied Mathematics 1 Mathematics of Computation 1 Monatshefte für Mathematik 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 SIAM Journal on Discrete Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Combinatorics, Probability and Computing 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Applicable Analysis and Discrete Mathematics all top 5 Fields 14 Number theory (11-XX) 11 Combinatorics (05-XX) 9 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 3 Commutative algebra (13-XX) 3 Probability theory and stochastic processes (60-XX) 2 Algebraic geometry (14-XX) 2 Operations research, mathematical programming (90-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 32 times in 21 Documents Cited by ▼ Year ▼ Analysis of width-\(w\) non-adjacent forms to imaginary quadratic bases. Zbl 1300.11013Heuberger, Clemens; Krenn, Daniel 5 2013 Automata in SageMath – combinatorics meet theoretical computer science. Zbl 1401.68369Heuberger, Clemens; Krenn, Daniel; Kropf, Sara 4 2016 Optimality of the width-\(w\) non-adjacent form: general characterisation and the case of imaginary quadratic bases. Zbl 1282.11005Heuberger, Clemens; Krenn, Daniel 4 2013 Sylow \(p\)-groups of polynomial permutations on the integers mod \(p^n\). Zbl 1300.20025Frisch, Sophie; Krenn, Daniel 3 2013 Counting zeros in random walks on the integers and analysis of optimal dual-pivot quicksort. Zbl 1411.68042Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut 2 2016 On the number of multi-base representations of an integer. Zbl 1342.11013Krenn, Daniel; Ralaivaosaona Dimbinaina; Wagner, Stephan 2 2014 Existence and optimality of \(w\)-non-adjacent forms with an algebraic integer base. Zbl 1289.11004Heuberger, C.; Krenn, D. 2 2013 Esthetic numbers and lifting restrictions on the analysis of summatory functions of regular sequences. Zbl 1429.11038Heuberger, Clemens; Krenn, Daniel 1 2019 On the minimal Hamming weight of a multi-base representation. Zbl 1472.11045Krenn, Daniel; Suppakitpaisarn, Vorapong; Wagner, Stephan 1 2020 An optimization-based sum-of-squares approach to Vizing’s conjecture. Zbl 1444.68303Gaar, Elisabeth; Wiegele, Angelika; Krenn, Daniel; Margulies, Susan 1 2019 Asymptotic analysis of regular sequences. Zbl 1476.11018Heuberger, Clemens; Krenn, Daniel 1 2020 Dual-pivot quicksort: optimality, analysis and zeros of associated lattice paths. Zbl 1432.68108Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut 1 2019 Analysis of summatory functions of regular sequences: transducer and Pascal’s rhombus. Zbl 1482.05013Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut 1 2018 On linear combinations of units with bounded coefficients and double-base digit expansions. Zbl 1325.11119Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker 1 2013 Canonical trees, compact prefix-free codes, and sums of unit fractions: a probabilistic analysis. Zbl 1323.60022Heuberger, Clemens; Krenn, Daniel; Wagner, Stephan 1 2015 The number of compositions into powers of \(b\). Zbl 1331.05026Krenn, Daniel; Wagner, Stephan 1 2014 Multi-base representations of integers: asymptotic enumeration and central limit theorems. Zbl 1432.11010Krenn, Daniel; Ralaivaosaona, Dimbinaina; Wagner, Stephan 1 2015 On the minimal Hamming weight of a multi-base representation. Zbl 1472.11045Krenn, Daniel; Suppakitpaisarn, Vorapong; Wagner, Stephan 1 2020 Asymptotic analysis of regular sequences. Zbl 1476.11018Heuberger, Clemens; Krenn, Daniel 1 2020 Esthetic numbers and lifting restrictions on the analysis of summatory functions of regular sequences. Zbl 1429.11038Heuberger, Clemens; Krenn, Daniel 1 2019 An optimization-based sum-of-squares approach to Vizing’s conjecture. Zbl 1444.68303Gaar, Elisabeth; Wiegele, Angelika; Krenn, Daniel; Margulies, Susan 1 2019 Dual-pivot quicksort: optimality, analysis and zeros of associated lattice paths. Zbl 1432.68108Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut 1 2019 Analysis of summatory functions of regular sequences: transducer and Pascal’s rhombus. Zbl 1482.05013Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut 1 2018 Automata in SageMath – combinatorics meet theoretical computer science. Zbl 1401.68369Heuberger, Clemens; Krenn, Daniel; Kropf, Sara 4 2016 Counting zeros in random walks on the integers and analysis of optimal dual-pivot quicksort. Zbl 1411.68042Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut 2 2016 Canonical trees, compact prefix-free codes, and sums of unit fractions: a probabilistic analysis. Zbl 1323.60022Heuberger, Clemens; Krenn, Daniel; Wagner, Stephan 1 2015 Multi-base representations of integers: asymptotic enumeration and central limit theorems. Zbl 1432.11010Krenn, Daniel; Ralaivaosaona, Dimbinaina; Wagner, Stephan 1 2015 On the number of multi-base representations of an integer. Zbl 1342.11013Krenn, Daniel; Ralaivaosaona Dimbinaina; Wagner, Stephan 2 2014 The number of compositions into powers of \(b\). Zbl 1331.05026Krenn, Daniel; Wagner, Stephan 1 2014 Analysis of width-\(w\) non-adjacent forms to imaginary quadratic bases. Zbl 1300.11013Heuberger, Clemens; Krenn, Daniel 5 2013 Optimality of the width-\(w\) non-adjacent form: general characterisation and the case of imaginary quadratic bases. Zbl 1282.11005Heuberger, Clemens; Krenn, Daniel 4 2013 Sylow \(p\)-groups of polynomial permutations on the integers mod \(p^n\). Zbl 1300.20025Frisch, Sophie; Krenn, Daniel 3 2013 Existence and optimality of \(w\)-non-adjacent forms with an algebraic integer base. Zbl 1289.11004Heuberger, C.; Krenn, D. 2 2013 On linear combinations of units with bounded coefficients and double-base digit expansions. Zbl 1325.11119Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker 1 2013 all cited Publications top 5 cited Publications all top 5 Cited by 31 Authors 9 Krenn, Daniel 8 Heuberger, Clemens 4 Prodinger, Helmut 3 Kropf, Sara 3 Wagner, Stephan G. 2 Suppakitpaisarn, Vorapong 1 Al-Ezeh, Hasan 1 Al-Maktry, Amr Ali Abdulkader 1 Aumüller, Martin 1 Banderier, Cyril 1 Dietzfelbinger, Martin 1 Freiberg, Uta Renata 1 Frisch, Sophie 1 Gaar, Elisabeth 1 Gómez, Carlos Alexis 1 Görcsös, Dalma 1 Hakuta, Keisuke 1 Horváth, Gábor 1 Karpov, Arkadiy V. 1 Lipnik, Gabriel F. 1 Luca, Florian 1 Margulies, Susan 1 Matei, Vlad 1 Mészáros, Anett 1 Pappalardi, Francesco 1 Roitner, Valerie 1 Sato, Hisayoshi 1 Takagi, Tsuyoshi 1 Treviño, Enrique 1 Wiegele, Angelika 1 Ziegler, Volker all top 5 Cited in 18 Serials 3 Algorithmica 2 The Electronic Journal of Combinatorics 1 Information Processing Letters 1 Mathematics of Computation 1 Journal of Number Theory 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Revista de la Unión Matemática Argentina 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Journal of Symbolic Computation 1 Journal de Théorie des Nombres de Bordeaux 1 Combinatorics, Probability and Computing 1 Finite Fields and their Applications 1 Journal of Applied Mathematics and Computing 1 Research in the Mathematical Sciences 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 13 Fields 15 Number theory (11-XX) 9 Computer science (68-XX) 8 Combinatorics (05-XX) 5 Commutative algebra (13-XX) 4 Probability theory and stochastic processes (60-XX) 4 Information and communication theory, circuits (94-XX) 3 Algebraic geometry (14-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year