TY - JOUR AU - Tengely, Szabolcs TI - Balancing numbers which are products of consecutive integers JF - PUBLICATIONES MATHEMATICAE DEBRECEN J2 - PUBL MATH DEBRECEN VL - 83 PY - 2013 IS - 1-2 SP - 197 EP - 205 PG - 9 SN - 0033-3883 DO - 10.5486/PMD.2013.5654 UR - https://m2.mtmt.hu/api/publication/1962085 ID - 1962085 LA - English DB - MTMT ER - TY - JOUR AU - Behera, A AU - Liptai, Kálmán AU - Panda, G K AU - Szalay, László TI - Balancing with Fibonacci powers JF - FIBONACCI QUARTERLY J2 - FIBONACCI QUART VL - 49 PY - 2011 IS - 1 SP - 28 EP - 33 PG - 6 SN - 0015-0517 UR - https://m2.mtmt.hu/api/publication/1781112 ID - 1781112 AB - The Diophantine equation F1k + F2k + ⋯ + Fn-1k = Fn+1l + Fn+2l + ⋯ + Fn+rl in positive integers n,r,k,l with n ≥ 2 is studied where F n is the nth term of the Fibonacci sequence. LA - English DB - MTMT ER - TY - JOUR AU - Szakács, Tamás TI - Multiplying balancing numbers JF - ACTA UNIVERSITATIS SAPIENTIAE MATHEMATICA J2 - ACTA UNIV SAPIENTIAE MATH VL - 3 PY - 2011 IS - 1 SP - 90 EP - 96 PG - 7 SN - 1844-6094 UR - https://m2.mtmt.hu/api/publication/2775055 ID - 2775055 LA - English DB - MTMT ER - TY - JOUR AU - Bérczes, Attila AU - Liptai, Kálmán AU - Pink, István TI - On generalized balancing sequences JF - FIBONACCI QUARTERLY J2 - FIBONACCI QUART VL - 48 PY - 2010 IS - 2 SP - 121 EP - 128 PG - 8 SN - 0015-0517 UR - https://m2.mtmt.hu/api/publication/1427122 ID - 1427122 LA - English DB - MTMT ER - TY - JOUR AU - Kovács, Tünde AU - Liptai, Kálmán AU - Olajos, Péter TI - On (a,b)-balancing numbers JF - PUBLICATIONES MATHEMATICAE DEBRECEN J2 - PUBL MATH DEBRECEN VL - 77 PY - 2010 IS - 3-4 SP - 485 EP - 498 PG - 14 SN - 0033-3883 DO - 10.5486/PMD.2010.4857 UR - https://m2.mtmt.hu/api/publication/1419242 ID - 1419242 LA - English DB - MTMT ER - TY - JOUR AU - Liptai, Kálmán AU - Luca, F AU - Pintér, Ákos AU - Szalay, László TI - Generalized balancing numbers JF - INDAGATIONES MATHEMATICAE-NEW SERIES J2 - INDAGAT MATH NEW SER VL - 20 PY - 2009 IS - 1 SP - 87 EP - 100 PG - 14 SN - 0019-3577 DO - 10.1016/S0019-3577(09)80005-0 UR - https://m2.mtmt.hu/api/publication/1111765 ID - 1111765 LA - English DB - MTMT ER - TY - JOUR AU - Bugeaud, Y AU - Mignotte, M AU - Siksek, S AU - Stoll, M AU - Tengely, Szabolcs TI - Integral points on hyperelliptic curves JF - ALGEBRA AND NUMBER THEORY J2 - ALGEBR NUMBER THEORY VL - 2 PY - 2008 IS - 8 SP - 859 EP - 885 PG - 27 SN - 1937-0652 DO - 10.2140/ant.2008.2.859 UR - https://m2.mtmt.hu/api/publication/1108521 ID - 1108521 LA - English DB - MTMT ER - TY - JOUR AU - Liptai, Kálmán TI - Lucas balancing numbers JF - ACTA MATHEMATICA UNIVERSITATIS OSTRAVIENSIS J2 - ACTA MATH UNIV OSTRAVIENSIS VL - 14 PY - 2006 SP - 43 EP - 47 PG - 5 SN - 1214-8148 UR - https://m2.mtmt.hu/api/publication/2135332 ID - 2135332 LA - English DB - MTMT ER - TY - JOUR AU - Liptai, Kálmán TI - Fibonacci balancing numbers JF - FIBONACCI QUARTERLY J2 - FIBONACCI QUART VL - 42 PY - 2004 IS - 4 SP - 330 EP - 340 PG - 11 SN - 0015-0517 UR - https://m2.mtmt.hu/api/publication/2135374 ID - 2135374 LA - English DB - MTMT ER -