Institute of Analysis and Number Theory (5010)

Research output

Research output per year 1979 2003 2004 2005 2006 2007 2008 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2023

• 813 Article
• 105 Conference paper
• 33 Chapter
• 17 Preprint
• 72 More
  • 12 Book
  • 10 Doctoral Thesis
  • 6 Poster
  • 6 Habilitation
  • 6 Working paper
  • 5 Abstract
  • 5 (Old data) Lecture or Presentation
  • 3 Anthology
  • 3 Lecture notes
  • 3 Bachelor's Thesis
  • 3 Diploma Thesis
  • 2 Other report
  • 2 Paper
  • 2 Comment/debate
  • 2 Review article
  • 2 Master's Thesis

Research output per year

Research output per year

Search results

• 2023

  A polynomial variant of diophantine triples in linear recurrences

  Fuchs, C. & Heintze, S., 2023, In: Periodica Mathematica Hungarica. 86, 1, p. 289-299 11 p.

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

  Open Access

• Comparing Wiener, Szeged and revised Szeged index on cactus graphs

  Hammer, S., 11 Jan 2023, In: Ars Mathematica Contemporanea. 23, 3, 12 p., 05C09.

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

  Open Access

  • Bounds 100%
  • Vertex 100%
  • Classes 100%
  • Cycles 100%
  • Equality 100%

• Correction to: A polynomial variant of diophantine triples in linear recurrences (Periodica Mathematica Hungarica, (2023), 86, 1, (289-299), 10.1007/s10998-022-00460-y)

  Fuchs, C. & Heintze, S., Mar 2023, In: Periodica Mathematica Hungarica. 86, 1, p. 300 1 p.

  Research output: Contribution to journal › Comment/debate › peer-review

  Open Access

• Difference Sets and the Metric Theory of Small Gaps

  Aistleitner, C., El-Baz, D. & Munsch, M., 1 Mar 2023, In: International Mathematics Research Notices. 2023, 5, p. 3848-3884 37 p.

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

• Distribution of genus numbers of abelian number fields

  Frei, C., Loughran, D. & Newton, R., Jun 2023, In: Journal of the London Mathematical Society. 107, 6, p. 2197-2217 21 p.

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

  Open Access

  File

  • Number 100%
  • Asymptotic Formula 16%
  • Galois Group 16%

• Equivalent characterizations of non-Archimedean uniform spaces

  Windisch, D., 2023, Algebraic, Number Theoretic, and Topological Aspects of Ring Theory . Cham: Springer, p. 463-474

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

• Exponentially Larger Affine and Projective Caps

  Elsholtz, C. & Lipnik, G. F., Jan 2023, In: Mathematika. 69, 1, p. 232-249 18 p.

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

  Open Access

• Gap statistics and higher correlations for geometric progressions modulo one

  Aistleitner, C., Baker, S., Technau, N. & Yesha, N., Feb 2023, In: Mathematische Annalen. 385, 1-2, p. 845-861 17 p.

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

• Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations

  Fadinger-Held, V., Frisch, S. & Windisch, D., Dec 2023, In: Monatshefte fur Mathematik. 202, 4, p. 773-789 17 p.

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

  Open Access

  • Global Field 100%
  • Valuation Ring 100%
  • Integer-Valued Polynomials 100%
  • Residue Field 66%
  • Transcendentals 33%

• Large deviation principles for lacunary sums

  Aistleitner, C., Gantert, N., Kabluchko, Z., Prochno, J. & Ramanan, K., 1 Jan 2023, In: Transactions of the American Mathematical Society. 376, 1, p. 507-553 47 p.

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

• Large subsets of Z_m^n without arithmetic progressions

  Elsholtz, C., Klahn, B. & Lipnik, G. F., Apr 2023, In: Designs, Codes, and Cryptography. 91, 4, p. 1443-1452 10 p.

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

  Open Access

  • Bounds 100%
  • Arithmetic Progression 100%
  • Integer 33%
  • Prime Factor 33%

• Limit Laws of Maximal Birkhoff Sums for Circle Rotations via Quantum Modular Forms

  Borda, B., 10 Jun 2023, (E-pub ahead of print) In: International Mathematics Research Notices. 50 p.

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

  Open Access

  File

  • Modular Form 100%
  • Ergodic Theory 50%
  • Exponential Moment 50%

• Longer Gaps Between Values of Binary Quadratic Forms

  Dietmann, R., Elsholtz, C., Kalmynin, A., Konyagin, S. & Maynard, J., 1 Jun 2023, In: International Mathematics Research Notices. 2023, 12, p. 10313-10349 37 p.

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

• Maß- und Integrationstheorie

  Frei, C., 2023, 102 p.

  Research output: Other contribution › Lecture notes

• Maximizing Sudler products via Ostrowski expansions and cotangent sums

  Aistleitner, C. & Borda, B., 2023, In: Algebra and Number Theory. 17, 3, p. 667-717 51 p.

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

  Open Access

• Metric density results for the value distribution of Sudler products

  Hauke, M., 1 Jun 2023, In: Proceedings of the American Mathematical Society. 151, 6, p. 2339-2351 13 p.

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

• On the Diophantine equation $F_{n_1}+F_{n_2}+F_{n_3} = p_1^{z_1} \cdots p_s^{z_s}$

  Chim, K. C. & Ziegler, V., 2023, (Accepted/In press) In: Publicationes Mathematicae. 28 p.

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

• On the group of unit-valued polynomial functions

  Al-Maktry, A. A. A., May 2023, In: Applicable Algebra in Engineering, Communication and Computing. 34, 3, p. 521 - 537 17 p.

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

  Open Access

• On the metric theory of approximations by reduced fractions: A quantitative Koukoulopoulos-Maynard theorem

  Aistleitner, C., Borda, B. & Hauke, M., 3 Feb 2023, In: Compositio Mathematica. 159, 2, p. 207-231 25 p.

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

• On the number variance of zeta zeros and a conjecture of Berry

  Lugar, M. M., Milinovich, M. B. & Quesada-Herrera, E., Apr 2023, In: Mathematika. 69, 2, p. 303-348 46 p.

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

  Open Access

  File

• On the order of magnitude of Sudler products

  Aistleitner, C., Technau, N. & Zafeiropoulos, A., 1 Jun 2023, In: American Journal of Mathematics. 145, 3, p. 721-764 44 p.

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

  • Joint Production 100%
  • Transition Point 100%

• On the size of a linear combination of two linear recurrence sequences over function fields

  Heintze, S., Dec 2023, In: Periodica Mathematica Hungarica. 87, 2, p. 283-292 10 p.

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

  Open Access

  File

  • Linear Recurrence 100%
  • Function Field 100%
  • Linear Combination 100%
  • Bounds 50%
  • Constant 50%

• On the structures of a monoid of triangular vector- permutation polynomials, its group of units and its induced group of permutations

  Al-Maktry, A. A. A., 23 Nov 2023, (Submitted) In: Journal of Pure and Applied Algebra . 27 p.

  Research output: Contribution to journal › Article

• Pillai’s conjecture for polynomials

  Heintze, S., 20 Jun 2023, In: Glasnik Matematicki. 58, 1, p. 67-74 8 p.

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

• Poissonian correlations of higher orders

  Hauke, M. & Zafeiropoulos, A., Feb 2023, In: Journal of Number Theory. 243, p. 202-240 39 p.

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

  Open Access

• Polynomial Functions over Dual Numbers of Several Variables

  Al-Maktry, A. A. A., 1 Nov 2023, In: Journal of Algebra and its Applications. 22, 11, 2350231.

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

• Random walks on the circle and Diophantine approximation

  Berkes, I. & Borda, B., Aug 2023, In: Journal of the London Mathematical Society. 108, 2, p. 409-440 32 p.

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

  Open Access

• Riesz and Green energy on projective spaces

  Anderson, A., Dostert, D., Grabner, P., Matzke, R. W. & Stepaniuk, T., 26 Jul 2023, In: Transactions of the American Mathematical Society. 10, p. 1039-1076

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

• Self-avoiding walks and multiple context-free languages

  Lehner, F. & Lindorfer, C., 2023, In: Combinatorial Theory. 3, 1, 52 p., #18.

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

  Open Access

  • Functions 100%
  • context-free language 100%
  • Contexts 50%
  • Connected Graph 50%
  • Cayley Graph 50%

• Self-dual maps III: Projective links

  Montejano, L., Alfonsín, J. L. R. & Rasskin, I., 1 Sept 2023, In: Journal of Knot Theory and its Ramifications. 32, 10, 2350066.

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

  • Projective 100%
  • Links 100%
  • Symmetric Map 33%

• Stress-controlled ratchetting in hypoplasticity: a study of periodically proportional loading cycles

  Bauer, E., Kovtunenko, V. A., Krejčí, P., Monteiro, G. A. & Runcziková, J., Sept 2023, In: Acta Mechanica. 234, 9, p. 4077-4093 17 p.

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

  Open Access

• Subgroups of free proalgebraic groups and Matzat’s conjecture for function fields

  Wibmer, M., Mar 2023, In: Israel Journal of Mathematics . 253, 2, p. 841-863 23 p.

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

  • Function Field 100%
  • Variable Function 50%
  • Index of a Subgroup 50%
  • Galois Group 50%
• 2022

  2022 roadmap on neuromorphic computing and engineering

  Christensen, D. V., Dittmann, R., Linares-Barranco, B., Sebastian, A., Le Gallo, M., Redaelli, A., Slesazeck, S., Mikolajick, T., Spiga, S., Menzel, S., Valov, I., Milano, G., Ricciardi, C., Liang, S-J., Miao, F., Lanza, M., Quill, T. J., Keene, S. T., Salleo, A., Grollier, J., & 39 othersMarković, D., Mizrahi, A., Yao, P., Yang, J. J., Indiveri, G., Strachan, J. P., Datta, S., Vianello, E., Valentian, A., Feldmann, J., Pernice, W. H. P., Bhaskaran, H., Furber, S., Neftci, E., Scherr, F., Maass, W., Ramaswamy, S., Tapson, J., Panda, P., Kim, Y., Tanaka, G., Thorpe, S., Bartolozzi, C., Cleland, T. A., Posch, C., Liu, S., Panuccio, G., Mahmud, M., Mazumder, A. N., Hosseini, M., Mohsenin, T., Donati, E., Tolu, S., Galeazzi, R., Christensen, M. E., Holm, S., Ielmini, D., Pryds, N. & Li, X., 2022, In: Neuromorphic Computing and Engineering. 2, 2, 113 p., 022501.

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

  Open Access

  • Technology 100%
  • Computers 100%
  • Brain 100%
  • Utilization 66%
  • Calculation 66%

• A characterization of weakly Krull monoid algebras

  Fadinger, V. & Windisch, D., 2022, In: Journal of Algebra. 590, p. 277-292 16 p.

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

• Algebraic groups as difference Galois groups of linear differential equations

  Bachmayr, A. & Wibmer, M., Feb 2022, In: Journal of Pure and Applied Algebra . 226, 2, 106854.

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

• A Parallel Fast Multipole Method for a Space-Time Boundary Element Method for the Heat Equation

  Watschinger, R., Merta, M., Of, G. & Zapletal, J., Aug 2022, In: SIAM Journal on Scientific Computing. 44, 4, p. C320-C345

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

• A question of Zhou, Shi and Duan on nonpower subgroups of finite groups

  Anabanti, C. S., Aroh, A. B., Hart, S. B. & Oodo, A. R., 2022, In: Quaestiones Mathematicae. 45, 6, p. 901-910 10 p.

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

  Open Access

• A remark on torsors under affine group schemes

  Wibmer, M., 2022, (E-pub ahead of print) In: Transformation Groups.

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

  Open Access

  • Algebraically Closed Field 100%
  • Functor 100%

• Asymptotic Analysis of q-Recursive Sequences

  Heuberger, C., Krenn, D. & Lipnik, G. F., Sept 2022, In: Algorithmica. 84, 9, p. 2480–2532 53 p.

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

  Open Access

  • Recurrence Relation 100%
  • Nonzero Element 50%
  • Linear Representation 50%

• Asymptotic expansions for the coefficients of extremal quasimodular forms and a conjecture of Kaneko and Koike

  Grabner, P., Mar 2022, In: The Ramanujan Journal. 57, 3, p. 1021-1041 21 p.

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

  • Fourier Coefficient 100%

• Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums

  Minelli, P., Sourmelidis, A. & Technau, M., 6 Sept 2022, (E-pub ahead of print) In: Mathematische Annalen. 30 p.

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

  Open Access

• Blocking Delaunay Triangulations from Exterior

  Aichholzer, O., Hackl, T., Löffler, M., Pilz, A., Parada, I., Scheucher, M. & Vogtenhuber, B., 2022, Proc. 38th European Workshop on Computational Geometry (EuroCG 2022). Perugia, Italy, p. 9:1-9:7

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

  • Block Set 100%
  • Collinear 100%

• Difference Galois theory and dynamics

  Tomasic, I. & Wibmer, M., 2022, In: Advances in Mathematics. 402, 108328.

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

  Open Access

  • Ring Extension 100%
  • Galois Theory 100%
  • Groupoid 50%
  • Discrete Dynamical System 25%
  • Difference Algebra 25%

• Egyptian fractions

  Elsholtz, C. & Bloom, T., 2022, In: Nieuw Archief voor Wiskunde. 23, 4, p. 237-245

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

• Estimates for Weyl sums in the theory of discrete universality

  Sourmelidis, A., Apr 2022, In: The Ramanujan Journal. 57, 4, p. 1399-1421 23 p.

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

• Expansive dynamics on profinite groups

  Wibmer, M., 2022, In: Fundamenta Mathematicae. 256, p. 77-112

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

• Extreme values of derivatives of the Riemann zeta function

  Yang, D., Apr 2022, In: Mathematika. 68, 2, p. 486-510 25 p.

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

  Open Access

  File

• Filling space with hypercubes of two sizes – The pythagorean tiling in higher dimensions

  Führer, J., Jul 2022, In: Mathematika. 68, 3, p. 827-839 13 p.

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

  Open Access

• Finiteness properties of affine difference algebraic groups

  Wibmer, M., 1 Jan 2022, In: International Mathematics Research Notices. 2022, 1, p. 506-555 50 p.

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

• Inhomogeneous Diophantine Approximation on M₀-Sets with Restricted Denominators

  Pollington, A. D., Velani, S., Zafeiropoulos, A. & Zorin, E., 1 Jun 2022, In: International Mathematics Research Notices. 2022, 11, p. 8571-8643 73 p.

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