Institute of Analysis and Number Theory (5010)

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., #P3.03.

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

Open Access

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

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

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

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

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

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

Heintze, S., 13 Apr 2023, (E-pub ahead of print) In: Periodica Mathematica Hungarica.

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

Open Access

File

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

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., 2023, (Accepted/In press) In: Transactions of the American Mathematical Society.

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

Self-avoiding walks and multiple context-free languages

Lindorfer, C. & Lehner, F., 19 Jan 2023, (Accepted/In press) In: Combinatorial Theory. 52 p.

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

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

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

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

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

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

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