Found 2,228 Documents (Results 1–100)
Matrices as a diagonal quadratic form over rings of integers of certain quadratic number fields. (English) Zbl 07916014
Sums of two squares visualized. (English) Zbl 07906849
New predictor-corrector algorithm for symmetric cone horizontal linear complementarity problems. (English) Zbl 07904920
Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form. (English) Zbl 07900426
Summing the largest prime factor over integer sequences. (English) Zbl 07898773
Reviewer: Mehdi Hassani (Zanjan)
The inverse of a multiplication trick. (English) Zbl 07889449
MSC:
11A05
Multiplicative generalized tube surfaces with multiplicative quaternions algebra. (English) Zbl 07872022
Arithmetic properties of multiplicative integer-valued perturbed random walks. (English) Zbl 07860170
The Euclidean algorithm as a sequence of modular inverse switching formulas. (English) Zbl 07852292
Reviewer: Alexey Ustinov (Khabarovsk)
MSC:
11A05
Atomic density of arithmetical congruence monoids. (English) Zbl 07844361
Reviewer: M. Hossein Shahzamanian C. (Porto)
Euclidean algorithm in imaginary abelian sextic number fields. (English) Zbl 07831868
Reviewer: Franz Lemmermeyer (Jagstzell)
Trigonometric polynomials with frequencies in the set of squares and divisors in a short interval. (English) Zbl 1535.42002
Increasing sequence of \(T_0\)-topologies on the set of positive integers. (English) Zbl 1537.54016
Reviewer: Dario Spirito (Padova)
Rigidity degrees of indecomposable modules over representation-finite self-injective algebras. (English) Zbl 1533.16016
Reviewer: Yang Han (Beijing)
Around the gcd of the values of two polynomials. arXiv:2409.01224
Preprint, arXiv:2409.01224 [math.NT] (2024).
Noncrossing arithmetics. arXiv:2407.17660
Preprint, arXiv:2407.17660 [math.CO] (2024).
Determining all biunitary triperfect numbers of a certain form. arXiv:2406.19331
Preprint, arXiv:2406.19331 [math.NT] (2024).
Large values of quadratic Dirichlet \(L\)-functions. arXiv:2406.01519
Preprint, arXiv:2406.01519 [math.NT] (2024).
Ryser’s Conjecture and Stochastic matrices. arXiv:2405.13033
Preprint, arXiv:2405.13033 [math.NT] (2024).
Mind the (multiplicative) gaps. arXiv:2405.02651
Preprint, arXiv:2405.02651 [math.NT] (2024).
MSC:
11A05
Generalized cyclotomic polynomials associated with regular systems of divisors and arbitrary sets of positive integers. arXiv:2405.01278
Preprint, arXiv:2405.01278 [math.NT] (2024).
Reverse Divisors and Magic Numbers. arXiv:2404.06656
Preprint, arXiv:2404.06656 [math.NT] (2024).
The family of \(a\)-floor quotient partial orders. arXiv:2403.04342
Preprint, arXiv:2403.04342 [math.NT] (2024).
On the moments of averages of Ramanujan sums. arXiv:2401.07321
Preprint, arXiv:2401.07321 [math.NT] (2024).
Interior Hulls of Clean Lattice Parallelograms and Continued Fractions. arXiv:2401.04356
Preprint, arXiv:2401.04356 [math.NT] (2024).
Nilpotent polynomials over \(\mathbb{Z}\). arXiv:2401.01435
Preprint, arXiv:2401.01435 [math.NT] (2024).
Power GCDQ and LCMQ matrices defined on GCD-closed sets over Euclidean domains. (English) Zbl 07920893
Algorithms for Euclidean-regularised optimal transport. (English) Zbl 07897910
Olenev, Nicholas (ed.) et al., Optimization and applications. 14th international conference, OPTIMA 2023, Petrovac, Montenegro, September 18–22, 2023. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 14395, 84-98 (2023).
On \(abc\) triples of the form \((1,c-1,c)\). (English) Zbl 07856154
Reviewer: Hayder Hashim (Kufa)
Coprime mappings on Gaussian lines. (English) Zbl 07856148
Reviewer: Jiangtao Peng (Tianjin)
\(p\)-adic valuation of \(\prod_{k=m+1}^n (k^2-m^2)\). (English) Zbl 07856143
Reviewer: Florian Luca (Johannesburg)
MSC:
11A05
Prime divisors of \(a^n-b^n\). (English) Zbl 07856124
MSC:
11A05
The partial-inverse approach to linearized polynomials and Gabidulin codes with applications to network coding. (English) Zbl 07821948
Smooth factors of integers and elliptic curve based factoring with an oracle. (English) Zbl 1540.11174
Grześkowiak, Maciej (ed.) et al., Number-theoretic methods in cryptology, NuTMiC 22. Selected papers based on the presentations at the 3rd conference, Poznań, Poland, August 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 126, 73-88 (2023).
Reviewer: Juan Tena Ayuso (Valladolid)
Divisibility by \(k^p\) in the Fibonacci and the Lucas sequence. (Divisibilité par \(k^p\) dans les suites de Fibonacci et de Lucas.) (French) Zbl 07811779
Reviewer: Franz Lemmermeyer (Jagstzell)
Number of ordered factorization. (Nombre de factorisations ordonnées.) (French) Zbl 07811776
Reviewer: Franz Lemmermeyer (Jagstzell)
On the divisibility of \(F_{n_0k^{p-1}}\) by \(k^p\) and of \(L_{n_0k^{p-1}}\), with \((F)\) the Fibonacci sequence and \((L)\) the Lucas sequence. (Sur la divisibilité de \(F_{n_0k^{p-1}}\) par \(k^p\) e de \(L_{n_0k^{p-1}}\) par \(k^p\) \((F)\) étant la suite de Fibonacci et \((L)\) celle de Lucas.) (French) Zbl 1537.11030
Reviewer: Franz Lemmermeyer (Jagstzell)
Primitive prime divisors of orders of Suzuki-Ree groups. (English. Russian original) Zbl 1537.20035
Algebra Logic 62, No. 1, 41-49 (2023); translation from Algebra Logika 62, No. 1, 59-70 (2023).
Reviewer: Egle Bettio (Venezia)
The mathematics of satins. (Catalan. English summary) Zbl 1531.11127
An analog of Wolstenholme’s theorem. (English) Zbl 1532.11014
Math. Commun. 28, No. 1, 69-83 (2023); addendum ibid. 29, No. 1, 159-162 (2024).
Reviewer: Amin Witno (Amman)
Combinatorial generation of planar sets. (English) Zbl 07753636
MSC:
68U05
Euclidean algorithm for a class of linear orders. (English) Zbl 07745191
MSC:
06A05
On length of the period of the continued fraction of \(n \sqrt{d}\). (English) Zbl 1531.11010
Reviewer: Anton Shutov (Vladimir)
MSC:
11A55
Hyperbolic summation for functions of the GCD and LCM of several integers. (English) Zbl 1523.11001
Reviewer: Olivier Bordellès (Aiguilhe)
Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. (English) Zbl 1537.11012
Reviewer: Alexey Ustinov (Khabarovsk)
Pell and associated Pell braid sequences as GCDs of sums of \(k\) consecutive Pell, balancing, and related numbers. (English) Zbl 1531.11019
Nontrivial lower bounds for the \(p\)-adic valuation of certain rational numbers. (English) Zbl 1534.11033
Reviewer: Uğur Duran (İskenderun)
Spacings between selected prime divisors of an integer. (English) Zbl 1532.11129
Reviewer: Olivier Bordellès (Aiguilhe)
Constant-factor approximation algorithms for some maximin multi-clustering problems. (English) Zbl 1528.90279
Khachay, Michael (ed.) et al., Mathematical optimization theory and operations research. 22nd international conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13930, 85-100 (2023).
Shifted power of a polynomial with integral roots. (English) Zbl 1528.12001
Reviewer: Anatoliy Petravchuk (Kyïv)
The approximation ratio of the \(k\)-Opt heuristic for the Euclidean traveling salesman problem. (English) Zbl 1522.90150
New versions of Miller-loop secured against side-channel attacks. (English) Zbl 1534.94086
Mesnager, Sihem (ed.) et al., Arithmetic of finite fields. 9th international workshop, WAIFI 2022, Chengdu, China, August 29 – September 2, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13638, 269-287 (2023).
Divisibility of finite geometric series. (English) Zbl 1530.13033
Reviewer: David Dolžan (Ljubljana)
Wolstenholme’s theorem revisited. (English) Zbl 1531.11009
Reviewer: Amin Witno (Amman)
Euclid meets Popeye: the Euclidean algorithm for \(2\times 2\) matrices. (English) Zbl 1526.11002
Reviewer: Oleg Karpenkov (Liverpool)
Hurwitz’s lectures on the number theory of quaternions. (English) Zbl 1526.01002
Heritage of European Mathematics. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-011-2/hbk; 978-3-98547-511-7/ebook). xvii, 293 p. (2023).
Reviewer: Franz Lemmermeyer (Jagstzell)
A proof of the Erdős primitive set conjecture. (English) Zbl 1535.11033
Reviewer: László A. Székely (Columbia)
Idempotent chains and bounded generation of \(\mathrm{SL}_2\). (English) Zbl 1533.16066
Reviewer: Peter Danchev (Sofia)
Generating hyperbolic isometry groups by elementary matrices. (English) Zbl 1526.20076
Reviewer: Danail Brezov (Sofia)
On the greatest common divisor of \(n\) and the \(n\)th Fibonacci number. II. (English) Zbl 1529.11027
A note on \(\mathbb{Z}\)-gradings on the Grassmann algebra and elementary number theory. (English) Zbl 1526.16020
Reviewer: Allan Berele (Chicago)
A branch-and-bound approach for estimating covering functionals of convex bodies. (English) Zbl 1518.52009
Reviewer: Marek Lassak (Bydgoszcz)
Families of modular arithmetic progressions with an interval of distance multiplicities. (English) Zbl 1514.05027
Non-principal Euclidean ideal class in a family of biquadratic fields with the class number two. (English) Zbl 1522.11111
Reviewer: Franz Lemmermeyer (Jagstzell)
On the least common multiple of several consecutive values of a polynomial. (English) Zbl 1515.11019
St. Petersbg. Math. J. 34, No. 2, 305-311 (2023); and Algebra Anal. 34, No. 2, 231-239 (2022).
Reviewer: Florian Luca (Johannesburg)
Short proofs, generalizations, and applications of certain identities concerning multiple Dirichlet series. (English) Zbl 1512.11007
Reviewer: Mehdi Hassani (Zanjan)
On the construction of short addition-subtraction chains and their applications. (English) Zbl 1523.11230
On the divisibility among power LCM matrices on \(\gcd\)-closed sets. (English) Zbl 1510.11087
Reviewer: Pentti Haukkanen (Tampere)
A sharp upper bound for the sum of reciprocals of least common multiples. II. (English) Zbl 1512.11002
Reviewer: Antonio M. Oller Marcén (Zaragoza)
On the metric theory of approximations by reduced fractions: a quantitative Koukoulopoulos-Maynard theorem. (English) Zbl 1528.11059
Reviewer: Simon Kristensen (Aarhus)
Arithmetic progressions among powerful numbers. (English) Zbl 1515.11089
Reviewer: Giovanni Coppola (Napoli)
The minimal Euclidean function on the Gaussian integers. (English) Zbl 1504.13021
Reviewer: Jebrel M. Habeb (Irbid)
Canonical tessellations of decorated hyperbolic surfaces. (English) Zbl 1510.57021
Reviewer: Charalampos Charitos (Athína)
Continued fractions over non-Euclidean imaginary quadratic rings. (English) Zbl 1510.11024
Reviewer: Mykhaylo Pahirya (Uzhhorod)
Discrete mathematics. Essentials and applications. (English) Zbl 1507.05002
Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-820656-0/pbk; 978-0-12-820909-7/ebook). xv, 448 p. (2023).
Reviewer: Firdous Ahmad Mala (Srinagar)
On a theorem of Kanold on odd perfect numbers. arXiv:2312.17059
Preprint, arXiv:2312.17059 [math.NT] (2023).
Weighted Versions of the Arithmetic-Mean-Geometric Mean Inequality and Zaremba’s Function. arXiv:2312.11661
Preprint, arXiv:2312.11661 [math.NT] (2023).
Counting relatively prime pairs of palindromes. arXiv:2311.15002
Preprint, arXiv:2311.15002 [math.NT] (2023).
Greatest common divisors of values of integer polynomials and an application to maximal tori. arXiv:2308.10971
Preprint, arXiv:2308.10971 [math.GR] (2023).
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- and 13 more Software Packages
