Výsledky vyhledávání - Classification AMS::11 Number theory::11D Diophantine equations*

On the extensibility of the D(4)-triple {; ; k-2, k+2, 4k}; ; over Gaussian integers

Autoři: Bayad, Abdelmejid Dossavi-Yovo, Appolinaire Filipin, A. a další

Přispěvatelé: Bayad, Abdelmejid Dossavi-Yovo, Appolinaire Filipin, A. a další

Témata: Diophantine m-tuple Pell equation Linear forms in logarithms AMS Classification: 11D09 11D45 11B37 11J86, Diophantine m -tuples, Pell equations, Linear forms in logarithms, Linear forms in logarithms AMS Classification: 11D09, 11J86, Pell equation, 11B37, 11D45, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], Diophantine m-tuple, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]

Popis souboru: application/pdf

Přístupová URL adresa: https://www.bib.irb.hr/832078
https://hal.science/hal-04465873v1

On the Diophantine Equation (8r²+1)^x+(r²-1)^y = (3r)^z Regarding Terai's Conjecture.

Autoři: Çokoksen, Tuba Alan, Murat

Zdroj: Communications in Advanced Mathematical Sciences; Dec2024, Vol. 7 Issue 4, p200-211, 13p

Témata: DIOPHANTINE equations, NUMBER theory, INTEGERS, LOGICAL prediction, CLASSIFICATION

Concerning new approaches to solving exponential Diophantine equations.

Alternate Title: O pewnych nowych metodach rozwiązywania wykładniczych równań diofantycznych. (Polish)

Autoři: FEDALA, DYHIA BEHLOUL, DJILALI

Zdroj: Mathematica Applicanda / Matematyka Stosowana; 2025, Vol. 53 Issue 1, p69-82, 14p

Témata: DIOPHANTINE equations, DIOPHANTINE approximation, MATHEMATICS, CRYPTOGRAPHY, NUMBER theory

On the number of L-shapes in embedding dimension four numerical semigroups

Autoři: F. Aguiló-Gost P.A. García-Sánchez D. Llena a další

Přispěvatelé: F. Aguiló-Gost P.A. García-Sánchez D. Llena a další

Zdroj: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

Témata: Combinatorial analysis, LOOP NETWORKS, Teoria de, Grafs, Teoria de, Combinatòria, Classificació AMS::05 Combinatorics::05C Graph theory, Classificació AMS::11 Number theory::11D Diophantine equations, Matemàtiques i estadística::Matemàtica discreta::Combinatòria [Àrees temàtiques de la UPC], 0102 computer and information sciences, 02 engineering and technology, L-shape, 01 natural sciences, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs, Graph theory, 11 Number theory::11D Diophantine equations [Classificació AMS], Grafs, Numerical semigroup, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, 0202 electrical engineering, electronic engineering, information engineering, Factorization, 05 Combinatorics::05C Graph theory [Classificació AMS], Weighted Cayley digraph, Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs [Àrees temàtiques de la UPC]

Popis souboru: application/pdf

Přístupová URL adresa: http://hdl.handle.net/2117/80110
https://www.sciencedirect.com/science/article/pii/S0012365X15001922
https://dblp.uni-trier.de/db/journals/dm/dm338.html#Aguilo-GostGL15
https://upcommons.upc.edu/bitstream/2117/80110/1/vertices-L-shapes-final.pdf
https://core.ac.uk/display/41822597
http://www.sciencedirect.com/science/article/pii/S0012365X15001922
https://upcommons.upc.edu/handle/2117/80110

Diophantine quadruples and near-Diophantine quintuples from sequences.

Autoři: Ramasamy, A. M. S.

Zdroj: Asian-European Journal of Mathematics; Mar2017, Vol. 10 Issue 1, p-1, 13p

Témata: NATURAL numbers, DIOPHANTINE approximation, DIOPHANTINE equations, FIBONACCI sequence, APPROXIMATION theory

Lucas Diophantine Triples.

Autoři: Luca, Florian Szalay, László

Zdroj: Integers; Sep2009, Vol. 9 Issue 4, p441-457, 17p, 4 Charts

Témata: LUCAS numbers, DIOPHANTINE equations, MONADS (Mathematics), RECURSIVE sequences (Mathematics), CHARACTERISTIC functions, FINITE differences, RATIONAL numbers, NATURAL numbers, NUMBER theory

Solutions of Diophantine equations in ordered fields.

Autoři: Cabral, M. A. P. Marques, F. C. Pombo Jr., D. P.

Zdroj: Journal of Linear & Topological Algebra; Winter2025, Vol. 14 Issue 1, p15-36, 22p

Témata: DIOPHANTINE equations, ORDERED algebraic structures, NUMBER theory, INTEGERS, PROBLEM solving, MATHEMATICS

ON DIOPHANTINE SINGLEFOLD SPECIFICATIONS.

Autoři: CANTONE, D. CUZZIOL, L. OMODEO, E. G.

Zdroj: Le Matematiche; 2024, Vol. 79 Issue 2, p585-620, 36p

Témata: HILBERT'S tenth problem, CHINESE remainder theorem, MATHEMATICAL logic, RECURSION theory, RECURSIVE functions, DIOPHANTINE equations, QUADRATIC forms, BINOMIAL coefficients

Equations in Algebras.

Autoři: Kharlampovich, Olga Myasnikov, Alexei

Zdroj: International Journal of Algebra & Computation; Dec2018, Vol. 28 Issue 8, p1517-1533, 17p

Témata: DIOPHANTINE analysis, ASSOCIATIVE algebras, NUMBER theory, MATHEMATICS theorems

On the exponential Diophantine equation (18m² + 1)^x + (7m² - 1)^y = (5m)^z.

Autoři: ALAN, Murat

Zdroj: Turkish Journal of Mathematics; 2018, Vol. 42 Issue 4, p1990-1999, 10p

Témata: INTEGERS, DIOPHANTINE equations, LOGARITHMS, DIOPHANTINE analysis, ANALYTIC number theory

The relationship between the nonexistence of generalized bent functions and diophantine equations.

Autoři: Liu, Feng Yue, Qin

Zdroj: Acta Mathematica Sinica; Jun2011, Vol. 27 Issue 6, p1173-1186, 14p, 2 Diagrams

Témata: EXISTENCE theorems, THEORY of distributions (Functional analysis), DIOPHANTINE equations, CYCLOTOMIC fields, PRIME numbers, MATHEMATICAL analysis

On the Solutions of Some Mersenne Prime-Involved Diophantine Equations.

Autoři: Gayo Jr., William S. Bacani, Jerico B.

Zdroj: International Journal of Mathematics & Computer Science; 2023, Vol. 18 Issue 3, p487-495, 9p

Témata: DIOPHANTINE equations, DIOPHANTINE analysis, CONGRUENCES & residues, NUMBER theory, PRIME numbers, MODULAR arithmetic

On the extensibility of the D(4)-triple {k -2, k + 2, 4k} over Gaussian integers

Autoři: Bayad, Abdelmejid Dossavi-Yovo, Appolinaire Filipin, A. a další

Přispěvatelé: Bayad, Abdelmejid Dossavi-Yovo, Appolinaire Filipin, A. a další

Zdroj: ISSN: 1310-5132.

Témata: Diophantine m-tuple Pell equation Linear forms in logarithms AMS Classification: 11D09 11D45 11B37 11J86, Diophantine m-tuple, Pell equation, Linear forms in logarithms AMS Classification: 11D09, 11D45, 11B37, 11J86, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

Dostupnost: https://hal.science/hal-04465873
https://hal.science/hal-04465873v1/document
https://hal.science/hal-04465873v1/file/NNTDM-23-3-001-026.pdf

On the solutions of the Diophantine equation Fn1 + Fn2 + Fn3 + Fn4 = 11^a.

Autoři: Earp-Lynch, Benjamin Earp-Lynch, Simon El Baz, Asmae

Zdroj: Journal of Algebra & Related Topics; Jul2025, Vol. 13 Issue 1, p73-85, 13p

Témata: DIOPHANTINE equations, FIBONACCI sequence, HYPOTHESIS, NUMBER theory, CONTRADICTION, MATHEMATICS, INTEGERS

Lecture Notes on Diophantine Analysis: Second Edition.

Zdroj: Notices of the American Mathematical Society; Nov2024, Vol. 71 Issue 10, p1416-1417, 2p

On the Diophantine equation ((c + 1)m² + 1)^x + (cm² 1)^y =(am)^z.

Autoři: KIZILDERE, Elif MIYAZAKI, Takafumi SOYDAN, Gökhan

Zdroj: Turkish Journal of Mathematics; 2018, Vol. 42 Issue 5, p2690-2698, 9p

Témata: DIOPHANTINE equations, PROOF theory, INTEGERS, MATHEMATICAL analysis, MATHEMATICAL models

On solutions of the Diophantine equation L n + L m = 3 a

Autoři: Tiebekabe, Pagdame Diouf, Ismaïla Université Cheikh Anta Diop Dakar, Sénégal (UCAD)

Přispěvatelé: Tiebekabe, Pagdame Diouf, Ismaïla Université Cheikh Anta Diop Dakar, Sénégal (UCAD)

Zdroj: https://hal.archives-ouvertes.fr/hal-03243010 ; 2021.

Témata: AMS Subject Classifications: 11B39, 11J86 Linear forms in logarithm, Diophantine equations, Fibonacci sequence, Lucas sequence, perfect powers, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

Relation: hal-03243010; https://hal.archives-ouvertes.fr/hal-03243010; https://hal.archives-ouvertes.fr/hal-03243010/document; https://hal.archives-ouvertes.fr/hal-03243010/file/MJM-Template_New.pdf

Dostupnost: https://hal.archives-ouvertes.fr/hal-03243010
https://hal.archives-ouvertes.fr/hal-03243010/document
https://hal.archives-ouvertes.fr/hal-03243010/file/MJM-Template_New.pdf

A Cartan’s Second Main Theorem Approach in Nevanlinna Theory.

Autoři: Ru, Min

Zdroj: Acta Mathematica Sinica; Aug2018, Vol. 34 Issue 8, p1208-1224, 17p

Témata: NEVANLINNA theory, MATHEMATICAL complex analysis, SUBSPACES (Mathematics), DIOPHANTINE equations, DIOPHANTINE approximation, MATHEMATICS theorems

Diophantine and ergodic foliations on surfaces.

Autoři: McMullen, Curtis T.

Zdroj: Journal of Topology; Jun2013, Vol. 6 Issue 2, p349-360, 12p

Témata: DIOPHANTINE equations, ERGODIC theory, FOLIATIONS (Mathematics), GEOMETRIC surfaces, MATHEMATICAL bounds, GEODESICS

THE QUEST FOR DIOPHANTINE FINITE-FOLD-NESS.

Autoři: CANTONE, D. CASAGRANDE, A. FABRIS, F. a další

Zdroj: Le Matematiche; 2021, Vol. 76 Issue 1, p133-160, 28p

Témata: NATURAL numbers, COMPUTABLE functions, EXPONENTIATION, DIOPHANTINE approximation, DIOPHANTINE equations, POLYNOMIALS