@article{MTMT:34591683, title = {Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers}, url = {https://m2.mtmt.hu/api/publication/34591683}, author = {Tekcan, Ahmet and Turkmen, Esra Zeynep}, doi = {10.7546/nntdm.2023.29.4.682}, journal-iso = {NOTES NUMBER THEORY DISCRETE MATH}, journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS}, volume = {29}, unique-id = {34591683}, issn = {1310-5132}, abstract = {In this work, the general terms of almost balancers, almost cobalancers, almost Lucasbalancers and almost Lucas-cobalancers of first and second type are determined in terms of balancing and Lucas-balancing numbers. Later some relations on all almost balancing numbers and all almost balancers are obtained. Further the general terms of all balancing numbers, Pell numbers and Pell-Lucas number are determined in terms of almost balancers, almost Lucasbalancers, almost cobalancers and almost Lucas-cobalancers of first and second type.}, keywords = {Balancing numbers; Pell numbers; Pell-Lucas numbers; Almost balancing numbers}, year = {2023}, eissn = {2367-8275}, pages = {682-694} } @article{MTMT:33269360, title = {On t-Balancers, t-Balancing Numbers and Lucas t-Balancing Numbers}, url = {https://m2.mtmt.hu/api/publication/33269360}, author = {Tekcan, A and Aydin, S}, journal-iso = {LIBERTAS MATHEMATICA}, journal = {LIBERTAS MATHEMATICA}, volume = {41}, unique-id = {33269360}, issn = {0278-5307}, year = {2021}, eissn = {2182-567X}, pages = {37-51} } @article{MTMT:32328454, title = {k-Almost Balancing Numbers}, url = {https://m2.mtmt.hu/api/publication/32328454}, author = {Tekcan, Ahmet}, journal-iso = {INT J APPL MAT STAT}, journal = {INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND STATISTICS}, volume = {60}, unique-id = {32328454}, issn = {0973-1377}, abstract = {In this work, we determine the general terms of k-almost balancing numbers and k-almost Lucas-balancing numbers of first and second type in terms of balancing and Lucas-balancing numbers for some integer k >= 1.}, keywords = {quadratic form; Pell equation; Balancing number; almost balancing number; cobalancing number}, year = {2021}, pages = {82-89} } @article{MTMT:31286436, title = {t-cobalancing numbers and t-cobalancers}, url = {https://m2.mtmt.hu/api/publication/31286436}, author = {Tekcan, Ahmet and Erdem, Alper}, doi = {10.7546/nntdm.2020.26.1.45-58}, journal-iso = {NOTES NUMBER THEORY DISCRETE MATH}, journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS}, volume = {26}, unique-id = {31286436}, issn = {1310-5132}, year = {2020}, eissn = {2367-8275}, pages = {45-58} } @article{MTMT:30918070, title = {Sums and spectral norms of all almost balancing numbers}, url = {https://m2.mtmt.hu/api/publication/30918070}, author = {Tekcan, A}, journal-iso = {CREAT MATH INFORM}, journal = {CREATIVE MATHEMATICS AND INFORMATICS}, volume = {28}, unique-id = {30918070}, issn = {1584-286X}, year = {2019}, eissn = {1843-441X}, pages = {203-214} } @article{MTMT:30957747, title = {Almost balancing, triangular and square triangular numbers}, url = {https://m2.mtmt.hu/api/publication/30957747}, author = {Tekcan, Ahmet}, doi = {10.7546/nntdm.2019.25.1.108-121}, journal-iso = {NOTES NUMBER THEORY DISCRETE MATH}, journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS}, volume = {25}, unique-id = {30957747}, issn = {1310-5132}, abstract = {In this work, we derive some new algebraic relations on all almost balancing numbers (of first and second type) and triangular (and also square triangular) numbers.}, keywords = {Balancing numbers; Triangular numbers; Almost balancing numbers; Square triangular numbers}, year = {2019}, eissn = {2367-8275}, pages = {108-121} } @article{MTMT:3424357, title = {A Hasse-type principle for exponential Diophantine equations over number fields and its applications}, url = {https://m2.mtmt.hu/api/publication/3424357}, author = {Bertók, Csanád and Hajdu, Lajos}, doi = {10.1007/s00605-018-1169-8}, journal-iso = {MONATSH MATH}, journal = {MONATSHEFTE FUR MATHEMATIK}, volume = {187}, unique-id = {3424357}, issn = {0026-9255}, year = {2018}, eissn = {1436-5081}, pages = {425-436} } @article{MTMT:3005637, title = {Balancing, Pell and square triangular functions}, url = {https://m2.mtmt.hu/api/publication/3005637}, author = {Ahmet, Tekcan and Merve, Tayat and Olajos, Péter}, doi = {10.18514/MMN.2015.1724}, journal-iso = {MISKOLC MATH NOTES}, journal = {MISKOLC MATHEMATICAL NOTES}, volume = {16}, unique-id = {3005637}, issn = {1787-2405}, year = {2015}, eissn = {1787-2413}, pages = {1219-1231} } @mastersthesis{MTMT:25915939, title = {Some Generalizations and Properties of Balancing Numbers}, url = {https://m2.mtmt.hu/api/publication/25915939}, author = {Sudhansu, Sekhar Rout}, unique-id = {25915939}, year = {2015} } @article{MTMT:2341471, title = {About the equation $B_m^{(a,b)}=f(x)$}, url = {https://m2.mtmt.hu/api/publication/2341471}, author = {Liptai, Kálmán and Olajos, Péter}, journal-iso = {ANN MATH INFORM}, journal = {ANNALES MATHEMATICAE ET INFORMATICAE}, volume = {40}, unique-id = {2341471}, issn = {1787-5021}, year = {2012}, eissn = {1787-6117}, pages = {47-55} }