TY  - JOUR
AU  - Tekcan, Ahmet
AU  - Turkmen, Esra Zeynep
TI  - Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers
JF  - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
J2  - NOTES NUMBER THEORY DISCRETE MATH
VL  - 29
PY  - 2023
IS  - 4
SP  - 682
EP  - 694
PG  - 13
SN  - 1310-5132
DO  - 10.7546/nntdm.2023.29.4.682
UR  - https://m2.mtmt.hu/api/publication/34591683
ID  - 34591683
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, A
AU  - Aydin, S
TI  - On t-Balancers, t-Balancing Numbers and Lucas t-Balancing Numbers
JF  - LIBERTAS MATHEMATICA
J2  - LIBERTAS MATHEMATICA
VL  - 41
PY  - 2021
IS  - 1
SP  - 37
EP  - 51
PG  - 15
SN  - 0278-5307
UR  - https://m2.mtmt.hu/api/publication/33269360
ID  - 33269360
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
TI  - k-Almost Balancing Numbers
JF  - INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND STATISTICS
J2  - INT J APPL MAT STAT
VL  - 60
PY  - 2021
IS  - 3
SP  - 82
EP  - 89
PG  - 8
SN  - 0973-1377
UR  - https://m2.mtmt.hu/api/publication/32328454
ID  - 32328454
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
AU  - Erdem, Alper
TI  - t-cobalancing numbers and t-cobalancers
JF  - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
J2  - NOTES NUMBER THEORY DISCRETE MATH
VL  - 26
PY  - 2020
IS  - 1
SP  - 45
EP  - 58
PG  - 14
SN  - 1310-5132
DO  - 10.7546/nntdm.2020.26.1.45-58
UR  - https://m2.mtmt.hu/api/publication/31286436
ID  - 31286436
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, A
TI  - Sums and spectral norms of all almost balancing numbers
JF  - CREATIVE MATHEMATICS AND INFORMATICS
J2  - CREAT MATH INFORM
VL  - 28
PY  - 2019
IS  - 2
SP  - 203
EP  - 214
PG  - 12
SN  - 1584-286X
UR  - https://m2.mtmt.hu/api/publication/30918070
ID  - 30918070
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
TI  - Almost balancing, triangular and square triangular numbers
JF  - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
J2  - NOTES NUMBER THEORY DISCRETE MATH
VL  - 25
PY  - 2019
IS  - 1
SP  - 108
EP  - 121
PG  - 14
SN  - 1310-5132
DO  - 10.7546/nntdm.2019.25.1.108-121
UR  - https://m2.mtmt.hu/api/publication/30957747
ID  - 30957747
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Bertók, Csanád
AU  - Hajdu, Lajos
TI  - A Hasse-type principle for exponential Diophantine equations over number fields and its applications
JF  - MONATSHEFTE FUR MATHEMATIK
J2  - MONATSH MATH
VL  - 187
PY  - 2018
IS  - 3
SP  - 425
EP  - 436
PG  - 12
SN  - 0026-9255
DO  - 10.1007/s00605-018-1169-8
UR  - https://m2.mtmt.hu/api/publication/3424357
ID  - 3424357
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ahmet, Tekcan
AU  - Merve, Tayat
AU  - Olajos, Péter
TI  - Balancing, Pell and square triangular functions
JF  - MISKOLC MATHEMATICAL NOTES
J2  - MISKOLC MATH NOTES
VL  - 16
PY  - 2015
IS  - 2
SP  - 1219
EP  - 1231
PG  - 13
SN  - 1787-2405
DO  - 10.18514/MMN.2015.1724
UR  - https://m2.mtmt.hu/api/publication/3005637
ID  - 3005637
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Sudhansu, Sekhar Rout
TI  - Some Generalizations and Properties of Balancing Numbers
PY  - 2015
SP  - 112
UR  - https://m2.mtmt.hu/api/publication/25915939
ID  - 25915939
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Liptai, Kálmán
AU  - Olajos, Péter
TI  - About the equation $B_m^{(a,b)}=f(x)$
JF  - ANNALES MATHEMATICAE ET INFORMATICAE
J2  - ANN MATH INFORM
VL  - 40
PY  - 2012
SP  - 47
EP  - 55
PG  - 9
SN  - 1787-5021
UR  - https://m2.mtmt.hu/api/publication/2341471
ID  - 2341471
LA  - English
DB  - MTMT
ER  -