Weil Sums over Small Subgroups

Authors: Ostafe, A, Shparlinski, IE, Voloch, JF

Source: Mathematical Proceedings of the Cambridge Philosophical Society. 176:39-53

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Access URL: http://arxiv.org/abs/2211.07739

Error profile for discontinuous Galerkin time stepping of parabolic PDEs

Authors: McLean, W, Mustapha, K

Source: Numerical Algorithms. 93:157-177

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Access URL: http://arxiv.org/abs/2208.03846

The Ramsey Numbers for Trees of Large Maximum Degree Versus the Wheel Graph $$W_8$$

Authors: Chng, ZY, Britz, T, Tan, TS, Wong, KB

Source: Bulletin of the Malaysian Mathematical Sciences Society. 47

Subject Terms: 4901 Applied Mathematics, anzsrc-for: 4903 Numerical and computational mathematics, 4904 Pure Mathematics, 0102 computer and information sciences, 01 natural sciences, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, anzsrc-for: 0199 Other Mathematical Sciences, anzsrc-for: 49 Mathematical Sciences, 49 Mathematical Sciences, anzsrc-for: 4901 Applied Mathematics, 0101 mathematics

A problem on distance matrices of subsets of the Hamming cube

Authors: Doust, I, Wolf, R

Source: Proceedings of the American Mathematical Society, Series B. 9:125-134

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Access URL: http://arxiv.org/abs/2109.07052

Pointwise and correlation bounds on Dedekind sums over small subgroups

Authors: Borda, B, Munsch, M, Shparlinski, IE

Contributors: Technische Universität Graz (TU Graz), Laboratoire de Mathématiques Unifiées de Saint-Etienne (LA MUSE), Université Jean Monnet - Saint-Étienne (UJM), Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Combinatoire, théorie des nombres (CTN), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), University of New South Wales Sydney (UNSW)

Source: Research in Number Theory. 10

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Access URL: http://arxiv.org/abs/2305.04304

Optimal Reconstruction of Vector Fields from Data for Prediction and Uncertainty Quantification

Authors: McGowan, SP, Robertson, WSP, Blachut, C, Balasuriya, S

Source: urn:ISSN:0938-8974 ; urn:ISSN:1432-1467 ; Journal of Nonlinear Science, 34, 4, 73

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Relation: http://hdl.handle.net/1959.4/104393

Availability: http://hdl.handle.net/1959.4/104393
https://doi.org/10.1007/s00332-024-10047-1

Cyclotomic and abelian points in backward orbits of rational functions

Authors: Ferraguti, A, Ostafe, A, Zannier, U

Source: urn:ISSN:0001-8708 ; urn:ISSN:1090-2082 ; Advances in Mathematics, 438, 109463

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Relation: http://hdl.handle.net/1959.4/103714; https://doi.org/10.1016/j.aim.2023.109463

Availability: http://hdl.handle.net/1959.4/103714
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Multiplicative and Linear Dependence in Finite Fields and on Elliptic Curves Modulo Primes

Authors: Barroero, Fabrizio, Capuano, Laura, Merai, Laszlo, Ostafe, Alina, Sha, Min

Source: International Mathematics Research Notices

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Access URL: http://arxiv.org/abs/2008.00389
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Uniform stability for a spatially discrete, subdiffusive Fokker–Planck equation

Authors: McLean, W, Mustapha, K

Source: Numerical Algorithms. 89:1441-1463

Subject Terms: 4901 Applied Mathematics, anzsrc-for: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, Numerical Analysis (math.NA), 01 natural sciences, anzsrc-for: 4904 Pure Mathematics, anzsrc-for: 49 Mathematical Sciences, anzsrc-for: 0103 Numerical and Computational Mathematics, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, anzsrc-for: 4901 Applied Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, 26A33, anzsrc-for: 0802 Computation Theory and Mathematics, anzsrc-for: 0102 Applied Mathematics

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Access URL: http://arxiv.org/pdf/2012.13860
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https://link.springer.com/article/10.1007/s11075-021-01160-3

A SPARSITY RESULT FOR THE DYNAMICAL MORDELL–LANG CONJECTURE IN POSITIVE CHARACTERISTIC

Authors: DRAGOS GHIOCA, ALINA OSTAFE, SINA SALEH, IGOR E. SHPARLINSKI

Source: Bulletin of the Australian Mathematical Society. 104:381-390

Subject Terms: Mathematics - Number Theory, 4901 Applied Mathematics, anzsrc-for: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 16. Peace & justice, 01 natural sciences, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, anzsrc-for: 49 Mathematical Sciences, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, anzsrc-for: 4901 Applied Mathematics, Number Theory (math.NT), 0101 mathematics

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Access URL: http://arxiv.org/pdf/2012.13711
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https://journal.austms.org.au/ojs/index.php/Bulletin/article/view/16131

On the Skolem problem and some related questions for parametric families of linear recurrence sequences

Authors: Ostafe, A, Shparlinski, IE

Source: Canadian Journal of Mathematics

Subject Terms: Mathematics - Number Theory, 4. Education, 4901 Applied Mathematics, anzsrc-for: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 16. Peace & justice, 01 natural sciences, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, anzsrc-for: 49 Mathematical Sciences, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, anzsrc-for: 4901 Applied Mathematics, Number Theory (math.NT), 0101 mathematics

File Description: application/pdf

Access URL: http://arxiv.org/pdf/2005.06713
http://arxiv.org/abs/2005.06713
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http://hdl.handle.net/21.11116/0000-000A-AC78-E

A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures

Authors: Chantelle Blachut, Cecilia González-Tokman, Gerardo Hernández-Dueñas

Source: Journal of Nonlinear Science. 33

Subject Terms: 4901 Applied Mathematics, anzsrc-for: 4903 Numerical and Computational Mathematics, Dynamical Systems (math.DS), 01 natural sciences, anzsrc-for: 49 Mathematical Sciences, Coherent structures, 4903 Numerical and Computational Mathematics, Dynamical systems, 0103 physical sciences, 49 Mathematical Sciences, FOS: Mathematics, anzsrc-for: 4901 Applied Mathematics, Mathematics - Dynamical Systems, Boussinesq equations, anzsrc-for: 0102 Applied Mathematics

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Access URL: http://arxiv.org/abs/2109.09970

ONE-LEVEL DENSITY OF LOW-LYING ZEROS OF QUADRATIC HECKE L-FUNCTIONS OF IMAGINARY QUADRATIC NUMBER FIELDS

Authors: Gao, Peng, Zhao, Liangyi

Source: Journal of the Australian Mathematical Society. 112:170-192

Subject Terms: Mathematics - Number Theory, 4. Education, 4901 Applied Mathematics, anzsrc-for: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 01 natural sciences, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, anzsrc-for: 49 Mathematical Sciences, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, anzsrc-for: 4901 Applied Mathematics, Number Theory (math.NT), 0101 mathematics, anzsrc-for: 0102 Applied Mathematics

Access URL: http://arxiv.org/pdf/1711.10557
http://arxiv.org/abs/1711.10557
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446788720000397

Moments of quadratic Hecke L-functions of imaginary quadratic number fields

Authors: Gao, Peng, Zhao, Liangyi

Source: Journal of Number Theory. 209:359-377

Subject Terms: Mathematics - Number Theory, anzsrc-for: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 01 natural sciences, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, anzsrc-for: 49 Mathematical Sciences, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics

Access URL: http://arxiv.org/pdf/1707.00091
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https://arxiv.org/abs/1707.00091
https://www.sciencedirect.com/science/article/pii/S0022314X19303348

A flexible particle Markov chain Monte Carlo method

Authors: Kohn, Robert, Mendes, Eduardo, Gunawan, David, Carter, Chris

Source: Statistics and Computing. 30:783-798

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Access URL: http://arxiv.org/pdf/1401.1667
http://arxiv.org/abs/1401.1667
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https://link.springer.com/article/10.1007/s11222-019-09916-7

Tight framelets and fast framelet filter bank transforms on manifolds

Authors: Wang, YG, Zhuang, X

Source: Applied and Computational Harmonic Analysis. 48:64-95

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http://arxiv.org/abs/1608.04026
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http://ui.adsabs.harvard.edu/abs/2016arXiv160804026W/abstract
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http://export.arxiv.org/pdf/1608.04026
https://arxiv.org/abs/1608.04026

A Systematic Approach to Delay Functions

Authors: Angstmann, CN, Burney, SJM, Henry, BI, Jacobs, BA, Xu, Z

Source: urn:ISSN:2227-7390 ; Mathematics, 11, 21, 4526

Subject Terms: 4901 Applied Mathematics, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, anzsrc-for: 4901 Applied Mathematics, anzsrc-for: 4903 Numerical and Computational Mathematics, anzsrc-for: 49 Mathematical Sciences

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Relation: http://purl.org/au-research/grants/arc/DP200100345; https://hdl.handle.net/1959.4/unsworks_84856; https://doi.org/10.3390/math11214526

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On the number of Diophantine m-tuples in finite fields

Authors: Shparlinski, IE

Source: urn:ISSN:1071-5797 ; urn:ISSN:1090-2465 ; Finite Fields and their Applications, 90, 102241

Subject Terms: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences, anzsrc-for: 4903 Numerical and Computational Mathematics, anzsrc-for: 4904 Pure Mathematics, anzsrc-for: 49 Mathematical Sciences, anzsrc-for: 0101 Pure Mathematics

Relation: http://hdl.handle.net/1959.4/104187; https://doi.org/10.1016/j.ffa.2023.102241

Availability: http://hdl.handle.net/1959.4/104187
https://doi.org/10.1016/j.ffa.2023.102241

Linear systems, Hankel products and the sinh-Gordon equation

Authors: Blower, Gordon, Doust, Ian

Source: urn:ISSN:0022-247X ; urn:ISSN:1096-0813 ; Journal of Mathematical Analysis and Applications, 525, 1, 127140-127140

Subject Terms: 4901 Applied Mathematics, 49 Mathematical Sciences, 40 Engineering, 4007 Control Engineering, Mechatronics and Robotics, anzsrc-for: 4901 Applied Mathematics, anzsrc-for: 49 Mathematical Sciences, anzsrc-for: 40 Engineering, anzsrc-for: 4007 Control Engineering, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 0102 Applied Mathematics, anzsrc-for: 0906 Electrical and Electronic Engineering, anzsrc-for: 4903 Numerical and computational mathematics, anzsrc-for: 4904 Pure mathematics

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Relation: http://hdl.handle.net/1959.4/unsworks_83212; https://doi.org/10.1016/j.jmaa.2023.127140

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Parameter extraction of solar photovoltaic models using queuing search optimization and differential evolution[Formula presented]

Authors: Abd El-Mageed, AA, Abohany, AA, Saad, HMH, Sallam, KM

Source: urn:ISSN:1568-4946 ; urn:ISSN:1872-9681 ; Applied Soft Computing, 134, 110032

Subject Terms: 46 Information and Computing Sciences, 4602 Artificial Intelligence, anzsrc-for: 46 Information and Computing Sciences, anzsrc-for: 4602 Artificial Intelligence, anzsrc-for: 0102 Applied Mathematics, anzsrc-for: 0801 Artificial Intelligence and Image Processing, anzsrc-for: 0806 Information Systems, anzsrc-for: 4903 Numerical and computational mathematics

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