Analytic Combinatorics: Analytic Combinatorics and Probabilistic Number Theory

Research output

Research output per year 1996 2006 2007 2008 2009 2015

• 41 Article
• 2 Conference paper
• 1 Book
• 1 Chapter
• 2 More
  • 1 (Old data) Lecture or Presentation
  • 1 Website / Web publication

Research output per year

Research output per year

Search results

• 2015

  GCD sums from Poisson integrals and systems of dilated functions

  Aistleitner, C., Berkes, I. & Seip, K., 2015, In: Journal of the European Mathematical Society. 17, 6, p. 1517-1546

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Poisson Integral 100%
  • GCD 100%
  • Upper Bound 50%

• On the discrepancy and empirical distribution function of {nkα}

  Berkes, I. & Raseta, M., 2015, In: Uniform Distribution Theory. 10, 1, p. 1-17

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File
• 2014

  On series of dilated functions

  Berkes, I. & Weber, M., 2014, In: The Quarterly Journal of Mathematics. 65, 1, p. 25-52

  Research output: Contribution to journal › Article › peer-review

  • Periodic Function 100%
  • Precise Result 100%
  • Classical Theory 100%
  • Orthogonal Function 100%

• On series Σc k f(kx) and Khinchin’s conjecture

  Berkes, I. & Weber, M., Feb 2014, In: Israel Journal of Mathematics . 201, 2, p. 593-609

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Regularity Condition 100%
• 2013

  Analysis of width-w non-adjacent forms to imaginary quadratic bases

  Heuberger, C. & Krenn, D., 2013, In: Journal of Number Theory. 133, p. 1752-1808

  Research output: Contribution to journal › Article › peer-review

• Existence and Optimality of w-non-adjacent Forms with an Algebraic Integer Base

  Heuberger, C. & Krenn, D., 2013, In: Acta Mathematica Hungarica. 140, 1-2, p. 90-104

  Research output: Contribution to journal › Article › peer-review
• 2012

  Analysis of Digital Expansions of Minimal Weight

  Heuberger, C. & Heigl, F., 2012, AofA'12. ., Vol. AQ. p. 399-412 (DMTCS Proceedings).

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review
• 2011

  A precise description of the p-adic valuation of the number of alternating sign matrices

  Heuberger, C. & Prodinger, H., 2011, In: International Journal of Number Theory. 7, p. 57-69

  Research output: Contribution to journal › Article › peer-review

• Faster and Lower Memory Scalar Multiplication on Supersingular Curves in Characteristic Three

  Avanzi, R. & Heuberger, C., 2011, Public Key Cryptography – PKC 2011. 14th International Conference on Practice and Theory in Public Key Cryptography, Taormina, Italy, March 6-9, 2011. Proceedings. Catalano, D., Fazio, N., Gennaro, R. & Nicolosi, A. (eds.). Heidelberg: Springer, Vol. 6571. p. 109-127 (Lecture Notes in Computer Science).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

• Redundant τ-adic Expansions I: Non-Adjacent Digit Sets and their Applications to Scalar Multiplication

  Avanzi, R., Heuberger, C. & Prodinger, H., 2011, In: Designs, Codes and Cryptography. 58, 2, p. 173-202

  Research output: Contribution to journal › Article › peer-review

• The number of maximum matchings in a tree

  Heuberger, C. & Wagner, S., 2011, In: Discrete Mathematics. 311, p. 2512-2542

  Research output: Contribution to journal › Article › peer-review
• 2010

  Asymptotics of the extremal values of certain graph parameters in trees with bounded degree

  Heuberger, C. & Wagner, S., 2010, In: Publicationes Mathematicae. 77, p. 347-367

  Research output: Contribution to journal › Article › peer-review

• Dependence in Probability, Analysis and Number Theory

  Berkes, I. (ed.), Bradley, R. C. (ed.), Dehling, H. (ed.), Peligrad, M. (ed.) & Tichy, R. (ed.), 2010, 1 ed. Heber City, Utah, USA: Kendrick Press.

  Research output: Book/Report › Book

• On the central limit theorem for $f(n_kx)$

  Aistleitner, C. & Berkes, I., 2010, In: Probability theory and related fields. 146, p. 267-289

  Research output: Contribution to journal › Article › peer-review

• Redundant τ-adic Expansions II: Non-Optimality and Chaotic Behaviour

  Heuberger, C., 2010, In: Mathematics in computer science. 3, p. 141-157

  Research output: Contribution to journal › Article › peer-review

• The number of maximum matchings in a tree

  Heuberger, C. & Wagner, S., 2010

  Research output: Non-print form › Website / Web publication
• 2009

  Analysis of Complements in Multi-Exponentiation Algorithms Using Signed Digit Representations

  Heuberger, C. & Prodinger, H., 2009, In: International journal of foundations of computer science. 20, 3, p. 443-453

  Research output: Contribution to journal › Article › peer-review

• Chemical trees minimizing energy and Hosoya index

  Heuberger, C. & Wagner, S., 2009, In: Journal of Mathematical Chemistry. 46, p. 214-230

  Research output: Contribution to journal › Article › peer-review

• On a Class of Extremal Trees for Various Indices

  Heuberger, C. & Wagner, S., 2009, In: Match - communications in mathematical and in computer chemistry. 62, p. 437-464

  Research output: Contribution to journal › Article › peer-review

• On the convergence of $\sum c_k f(n_kx)$

  Berkes, I. & Weber, M., 2009, In: Memoirs of the American Mathematical Society. 201, 943, 72 p.

  Research output: Contribution to journal › Article › peer-review

• On the law of the iterated logarithm for the discrepancy of $\langle n_kx \rangle$

  Aistleitner, C. & Berkes, I., 2009, In: Monatshefte für Mathematik. 156, p. 103-121

  Research output: Contribution to journal › Article › peer-review

• Unbalanced digit sets and the closest choice strategy for minimal weight integer representations

  Heuberger, C. & Muir, J., 2009, In: Designs, Codes and Cryptography. 52, p. 185-208

  Research output: Contribution to journal › Article › peer-review
• 2008

  Entropy conditons for subsequences of random variables with applications to empirical processes

  Berkes, I., Philipp, W. & Tichy, R., 2008, In: Monatshefte für Mathematik. 153, 3, p. 183-204

  Research output: Contribution to journal › Article › peer-review

• Maximizing the number of independent subsets over trees with bounded degree

  Heuberger, C. & Wagner, S., 2008, In: Journal of Graph Theory. 58, p. 49-68

  Research output: Contribution to journal › Article › peer-review

• Positional Number Systems with Digits Forming an Arithmetic Progression

  Heuberger, C., Prodinger, H. & Wagner, S., 2008, In: Monatshefte für Mathematik. 155, p. 349-375

  Research output: Contribution to journal › Article › peer-review

• Randomness with respect to the Signed-Digit Representation

  Archibald, M., Brattka, V. & Heuberger, C., 2008, In: Fundamenta informaticae. 83, p. 1-19

  Research output: Contribution to journal › Article › peer-review

• The additive unit structure of purely quartic complex fields

  Ziegler, V., Tichy, R. & Filipin, A., 2008, In: Functiones et approximatio. 39, 1, p. 113-131

  Research output: Contribution to journal › Article

• The zeta function of the Laplacian on certain fractals

  Derfel, G., Grabner, P. & Vogl, F., 2008, In: Transactions of the American Mathematical Society. 360, p. 881-897

  Research output: Contribution to journal › Article › peer-review
• 2007

  Distribution of additive functions with respect to numeration systems on regular languages

  Grabner, P. & Rigo, M., 2007, In: Theory of Computing Systems. 40, p. 205-223

  Research output: Contribution to journal › Article › peer-review

• Extremal trees with respect to Hosoya Index and Merrifield-Simmons Index

  Wagner, S., 2007, In: Match - communications in mathematical and in computer chemistry. p. 221-233

  Research output: Contribution to journal › Article › peer-review

• Graphs, Partitions and Fibonacci Numbers

  Ziegler, V., Tichy, R. & Wagner, S., 2007, In: Discrete Applied Mathematics. 155, 10, p. 1175-1187

  Research output: Contribution to journal › Article › peer-review

• Hwang's Quasi-Power-Theorem in Dimension Two

  Heuberger, C., 2007, In: Quaestiones Mathematicae. 30, p. 507-512

  Research output: Contribution to journal › Article

• Minimal Weight and Colexicographically Minimal Integer Representation

  Heuberger, C. & Muir, J., 2007, In: Journal of Mathematical Cryptology. p. 297-328

  Research output: Contribution to journal › Article › peer-review

• Numbers with fixed sum of digits in linear recurrent number systems

  Wagner, S., 2007, (Submitted) In: The Ramanujan Journal.

  Research output: Contribution to journal › Article › peer-review

• On Redundant τ-adic Expansions and Non-Adjacent Digit Sets

  Avanzi, R., Heuberger, C. & Prodinger, H., 2007, Selected Areas in Cryptography: 13th International Workshop, SAC 2006, Montreal, Canada, August 2006, Revised Selected Papers. Springer, Vol. 4356. p. 285-301 (Lecture Notes in Computer Science).

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

• On the law of the iterated logarithm for arithmetic functions

  Berkes, I. & Weber, M., 2007, In: Proceedings of the American Mathematical Society. 135, p. 1223-1232

  Research output: Contribution to journal › Article › peer-review

• On α-greedy expansions of numbers

  Heuberger, C. & Prodinger, H., 2007, In: Advances in Applied Mathematics. 38, 4, p. 505-525

  Research output: Contribution to journal › Article › peer-review

• The Hamming Weight of the Non-Adjacent-Form under Various Input Statistics

  Heuberger, C. & Prodinger, H., 2007, In: Periodica Mathematica Hungarica. 55, p. 81-96

  Research output: Contribution to journal › Article › peer-review

• Units generating the ring of integers of complex cubic fields

  Ziegler, V. & Tichy, R., 2007, In: Colloquium Mathematicum. 109, 1, p. 71-83

  Research output: Contribution to journal › Article › peer-review
• 2006

  All Solutions to Thomas' Family of Thue Equations over Imaginary Quadratic Number Fields

  Heuberger, C., 2006, In: Journal of Symbolic Computation. 41, 9, p. 980-998

  Research output: Contribution to journal › Article › peer-review

• Empirical processes in probabilistic number theory: the LIL for the discrepancy of $(n_kw)$ mod 1

  Berkes, I., Philipp, W. & Tichy, R., 2006, In: Illinois Journal of Mathematics. 50, 1, p. 107-145

  Research output: Contribution to journal › Article › peer-review

• Moment convergence and the law of the iterated logarithm for additive functions

  Berkes, I. & Weber, M., 2006, In: Acta Arithmetica. p. 43-55

  Research output: Contribution to journal › Article › peer-review

• On an identity for the cycle indices of rooted tree automorphism groups

  Wagner, S., 2006, In: The Electronic Journal of Combinatorics . 13, N14, p. 1-7

  Research output: Contribution to journal › Article › peer-review

• On Redundant $\tau$-adic Expansions and Non-Adjacent Digit Sets

  Avanzi, R., Heuberger, C. & Prodinger, H., 17 Aug 2006.

  Research output: Contribution to conference › (Old data) Lecture or Presentation

• Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and its Combination with Point Halving: Extensions and Mathematical Analysis

  Avanzi, R., Heuberger, C. & Prodinger, H., 2006, In: Algorithmica. 46, p. 249-270

  Research output: Contribution to journal › Article › peer-review

• Thomas' Family of Thue Equations over Imaginary Quadratic Fields, II

  Heuberger, C., Pethö, A. & Tichy, R., 2006, In: Sitzungsberichte und Anzeiger / Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse : Abteilung I, Biologische Wissenschaften und Erdwissenschaften ; Abteilung II, Mathematische, Physikalische und Technische Wissenschaften . 142, p. 3-7

  Research output: Contribution to journal › Article
• 1996

  Trigonometric series and uniform distribution mod 1

  Berkes, I. & Philipp, W., 1996, In: Studia Scientiarum Mathematicarum Hungarica. 31, p. 15-25

  Research output: Contribution to journal › Article › peer-review