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Transcendence and Normality of Complex Numbers via Hurwitz Continued Fractions.
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- IMRN: International Mathematics Research Notices, 2024, v. 2024, n. 23, p. 14289, doi. 10.1093/imrn/rnae240
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Mathematical Morsels: A Monthly Voyage of Problem Solving Goodness.
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- Ohio Journal of School Mathematics, 2014, n. 69, p. 45
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On sums of partial quotients in Hurwitz continued fraction expansions.
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- Acta Mathematica Hungarica, 2023, v. 170, n. 1, p. 17, doi. 10.1007/s10474-023-01345-3
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Voronoi-type identity for a class of arithmetical functions via the Laplace transform.
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- Acta Mathematica Hungarica, 2022, v. 168, n. 1, p. 50, doi. 10.1007/s10474-022-01261-y
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Extension of a parametric family of Diophantine triples in Gaussian integers.
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- Acta Mathematica Hungarica, 2016, v. 148, n. 2, p. 312, doi. 10.1007/s10474-016-0581-6
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On arithmetical functions having constant values in some domain.
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- Acta Mathematica Hungarica, 2014, v. 142, n. 1, p. 110, doi. 10.1007/s10474-013-0342-8
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Rings of matrices generated by a companion matrix.
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- Acta Mathematica Hungarica, 2013, v. 140, n. 1/2, p. 12, doi. 10.1007/s10474-013-0318-8
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Generalized designs for precoded receive spatial modulation derived from non-orthogonal space time block codes.
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- Telecommunication Systems, 2022, v. 79, n. 3, p. 405, doi. 10.1007/s11235-021-00860-4
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On the Irreducibility of Polynomials Associated with the Complete Residue Systems in any Imaginary Quadratic Fields.
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- International Journal of Mathematics & Mathematical Sciences, 2021, p. 1, doi. 10.1155/2021/5564589
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On the Irreducibility of Polynomials Associated with the Complete Residue Systems in any Imaginary Quadratic Fields.
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- International Journal of Mathematics & Mathematical Sciences, 2021, p. 1, doi. 10.1155/2021/5564589
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Creating 'Nice' Problems in Elementary Mathematics — II.
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- Resonance: Journal of Science Education, 2022, v. 27, n. 2, p. 207, doi. 10.1007/s12045-022-1309-2
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On the Generation of the Groups and by Three Involutions Two of Which Commute. II.
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- Mathematical Notes, 2024, v. 115, n. 3/4, p. 289, doi. 10.1134/S0001434624030015
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Numeralogy.
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- Mathematical Intelligencer, 2019, v. 41, n. 4, p. 22, doi. 10.1007/s00283-019-09908-5
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Gaussianity and typicality in matrix distributional semantics.
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- Annales de l'Institut Henri Poincaré D, 2022, v. 9, n. 1, p. 1, doi. 10.4171/AIHPD/112
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Gaussian Integer Solutions of the Diophantine Equation x<sup>4</sup>+y<sup>4</sup>=z³ for x≠y.
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- Baghdad Science Journal, 2023, v. 20, n. 5, p. 1751, doi. 10.21123/bsj.2023.ID
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Irreducibility Criteria for Polynomials over Some Imaginary Quadratic Fields.
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- Southeast Asian Bulletin of Mathematics, 2019, v. 43, n. 3, p. 367
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On the problem of the F. Smarandache factor.
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- Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2012, v. 25, n. 4, p. 407
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Extended Annihilating-Ideal Graph of a Commutative Ring.
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- Discussiones Mathematicae: General Algebra & Applications, 2022, v. 42, n. 2, p. 279, doi. 10.7151/dmgaa.1390
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PROBLEMS.
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- Bulletin of the Irish Mathematical Society, 2024, n. 93, p. 57, doi. 10.33232/BIMS.0093.57.59
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A cubic analogue of the Friedlander–Iwaniec spin over primes.
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- Mathematische Zeitschrift, 2022, v. 300, n. 3, p. 2809, doi. 10.1007/s00209-021-02878-5
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Second moment of the Prime Geodesic Theorem for PSL(2,Z[i]).
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- Mathematische Zeitschrift, 2022, v. 300, n. 1, p. 791, doi. 10.1007/s00209-021-02778-8
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Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications.
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- International Journal of Computer Mathematics, 2017, v. 94, n. 6, p. 1123, doi. 10.1080/00207160.2016.1184259
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A Compact Coprocessor for the Elliptic Curve Point Multiplication over Gaussian Integers.
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- Electronics (2079-9292), 2020, v. 9, n. 12, p. 2050, doi. 10.3390/electronics9122050
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Generalizing Gauss's Gem.
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- American Mathematical Monthly, 2012, v. 119, n. 7, p. 597, doi. 10.4169/amer.math.monthly.119.07.597
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ELEMENTS OF ORDER FOUR IN THE NARROW CLASS GROUP OF REAL QUADRATIC FIELDS.
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- Journal of the Australian Mathematical Society, 2016, v. 100, n. 1, p. 21, doi. 10.1017/S1446788715000270
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The second moment of symmetric square L -functions over Gaussian integers.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2022, v. 152, n. 1, p. 54, doi. 10.1017/prm.2020.96
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On the Line Graph of the Zero Divisor Graph for the Ring of Gaussian Integers Modulo n.
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- International Journal of Combinatorics, 2012, p. 1, doi. 10.1155/2012/957284
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Low-rank tensor representation of Slater-type and Hydrogen-like orbitals.
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- Applications of Mathematics, 2017, v. 62, n. 6, p. 679, doi. 10.21136/AM.2017.0177-17
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Construction of positive integers with even period of minimal type.
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- Proceedings of the Japan Academy, Series A: Mathematical Sciences, 2014, v. 90, n. 2, p. 27, doi. 10.3792/pjaa.90.27
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An asymmetric cryptography using Gaussian integers.
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- Engineering & Applied Science Research, 2020, v. 47, n. 2, p. 153, doi. 10.14456/easr.2020.16
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Stochastic Radiation Model for Cable Bundle with Random Wires.
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- Applied Computational Electromagnetics Society Journal, 2016, v. 31, n. 3, p. 279
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Method of contour integrals for the analysis of complex nonlinear distortions of narrowband Gaussian random processes.
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- Journal of Communications Technology & Electronics, 2016, v. 61, n. 12, p. 1321, doi. 10.1134/S1064226916120238
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On some Diophantine equations over complex quadratic number fields.
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- ScienceAsia, 2017, v. 43, n. 6, p. 383, doi. 10.2306/scienceasia1513-1874.2017.43.383
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Complex Gaussian quadrature for oscillatory integral transforms.
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- IMA Journal of Numerical Analysis, 2013, v. 33, n. 4, p. 1322, doi. 10.1093/imanum/drs060
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Some aspects of Unitary addition Cayley graph of Gaussian integers modulo n.
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- Matematika, 2016, v. 32, p. 43, doi. 10.11113/matematika.v32.n1.782
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Mathematical foundations of complex tonality.
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- Journal of Mathematics & Music, 2024, v. 18, n. 2, p. 173, doi. 10.1080/17459737.2023.2228546
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Families of Gaussian integer sequences with high energy efficiency.
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- IET Communications (Wiley-Blackwell), 2016, v. 10, n. 17, p. 2416, doi. 10.1049/iet-com.2016.0404
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Multidimensional Fibonacci Coding.
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- Mathematics (2227-7390), 2022, v. 10, n. 3, p. 386, doi. 10.3390/math10030386
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On Laplacian Eigenvalues of the Zero-Divisor Graph Associated to the Ring of Integers Modulo n.
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- Mathematics (2227-7390), 2021, v. 9, n. 5, p. 482, doi. 10.3390/math9050482
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Multiplicative Structure and Hecke Rings of Generator Matrices for Codes over Quotient Rings of Euclidean Domains.
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- Mathematics (2227-7390), 2017, v. 5, n. 4, p. 82, doi. 10.3390/math5040082
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Do knots self-tighten for entropic reasons?
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- Polymer Science -- Series A, 2016, v. 58, n. 6, p. 864, doi. 10.1134/S0965545X16060079
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DIMENSION OF THE INTERSECTION OF CERTAIN CANTOR SETS IN THE PLANE.
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- Opuscula Mathematica, 2021, v. 41, n. 2, p. 227, doi. 10.7494/OpMath.2021.41.2.227
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Entanglement, EPR steering and Gaussian geometric discord in a double cavity optomechanical systems.
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- European Physical Journal D (EPJ D), 2018, v. 72, n. 10, p. 1, doi. 10.1140/epjd/e2018-90151-6
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On the number of integer points in a multidimensional domain.
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- Discrete Mathematics & Applications, 2018, v. 28, n. 6, p. 385, doi. 10.1515/dma-2018-0034
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On a functional equation on the set of Gaussian integers.
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- Acta Scientiarum Mathematicarum, 2016, v. 82, n. 3/4, p. 443, doi. 10.14232/actasm-015-052-9
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On the integrality gap of binary integer programs with Gaussian data.
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- Mathematical Programming, 2023, v. 197, n. 2, p. 1221, doi. 10.1007/s10107-022-01828-1
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The Diophantine Equation ax<sup>6</sup> + by<sup>3</sup> + cz<sup>2</sup> = 0 in Gaussian Integers.
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- Kyungpook Mathematical Journal, 2015, v. 55, n. 3, p. 587, doi. 10.5666/KMJ.2015.55.3.587
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A texture based mani-fold approach for crowd density estimation using Gaussian Markov Random Field.
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- Multimedia Tools & Applications, 2019, v. 78, n. 5, p. 5645, doi. 10.1007/s11042-017-5554-4
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On q-Gaussian Integrable Hamiltonian Reductions in Anisentropic Magneto-gasdynamics.
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- Acta Applicandae Mathematicae, 2014, v. 132, n. 1, p. 515, doi. 10.1007/s10440-014-9926-8
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COLORING AND BOUNDARY INVARIANTS FOR POLYOMINOES.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2023, v. 23, p. 1, doi. 10.5281/zenodo.8399586
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