Publications - Lajos Hajdu

  1. L. Hajdu, A quantitative version of Dirichlet's S-unit theorem in algebraic number fields, Publ. Math. Debrecen 42 (1993), 239-246. paper
  2. A. Bérczes and L. Hajdu, Computational experiences on the distances of polynomials to irreducible polynomials, Math. Comp. 66 (1997), 391-398. paper
  3. L. Hajdu, On a problem of Győry and Schinzel concerning polynomials, Acta Arith. 78 (1997), 287-295. paper
  4. L. Hajdu, On a diophantine equation concerning the number of integer points in special domains II, Publ. Math. Debrecen 51 (1997), 331-342. paper
  5. L. Hajdu, On a diophantine equation concerning the number of integer points in special domains, Acta Math. Hungar. 78 (1998), 59-70. paper
  6. A. Bérczes and L. Hajdu, On a problem of P. Turán concerning irreducible polynomials, in: Number Theory: Diophantine, Computational and Algebraic Aspects (K. Győry, A. Pethő and V. T. Sós eds.) 1998, pp. 95-101. paper
  7. L. Hajdu and T. Herendi, Explicit bounds for the solutions of elliptic equations with rational coefficients, J. Symbolic Computation 25 (1998), 361-366. paper
  8. A. Bérczes, B. Brindza and L. Hajdu, On power values of polynomials, Publ. Math. Debrecen 53 (1998), 375-381. paper
  9. L. Hajdu and Á. Pintér, Square product of three integers in short intervals, Math. Comp. 68 (1999), 1299-1301. paper
  10. B. Brindza, L. Hajdu and I. Z. Ruzsa, On the equation x(x+d)…(x+(k-1)d)=by2, Glasgow Math. J. 42 (2000), 255-261. paper
  11. L. Hajdu and Á. Pintér, Combinatorial diophantine equations, Publ. Math. Debrecen 56 (2000), 391-403. paper
  12. Y. Bugeaud and L. Hajdu, Lower bounds for the difference |axn-bym|, Acta Math. Hungar. 87 (2000), 279-286. paper
  13. L. Hajdu and L. Szalay, On the Diophantine equations (2n-1)(6n-1)=x2 and (an-1)(akn-1)=x2, Period. Math. Hungar. 40 (2000), 141-145. paper
  14. P. Filakovszky and L. Hajdu, The resolution of the equation x(x+d)…(x+(k-1)d)=by2 for fixed d, Acta Arith. 98 (2001), 151-154. paper
  15. L. Hajdu and R. Tijdeman, Algebraic aspects of discrete tomography, J. Reine Angew. Math. 534 (2001), 119-128. paper
  16. L. Hajdu and R. Tijdeman, An algorithm for discrete tomography, J. Linear Algebra 339 (2001), 147-169. paper
  17. A. Fazekas, A. Hajdu and L. Hajdu, Properties of generalized neighbourhood sequences in finite dimension, Proceedings of the 4th International Conference on Applied Informatics (E. Kovács, Z. Winkler, eds.), 2001, pp. 129-134. paper
  18. A. Fazekas, A. Hajdu and L. Hajdu, Lattice of generalized neighbourhood sequences in nD and ∞D, Publ. Math. Debrecen 60 (2002), 405-427. paper
  19. A. Fazekas, A. Hajdu and L. Hajdu, Analyzing the structure of neighbourhood sequences, Proceedings of the 5th International Conference on Applied Informatics, (E. Kovács, Z. Winkler, eds), 2002, pp. 41-47. paper
  20. L. Hajdu and R. Tijdeman, Algebraic aspects of emission tomography with absorption, Theoret. Comput. Sci. 290 (2003), 2169-2181. paper
  21. L. Hajdu and R. Tijdeman, Polynomials dividing infinitely many quadrinomials or quintinomials, Acta Arith. 107 (2003), 381-404. paper
  22. A. Hajdu and L. Hajdu, Velocity and distance of neighbourhood sequences, Acta Cybernet. 16 (2003), 133-145. paper
  23. A. Hajdu and L. Hajdu, Approximating the Euclidean distance using non-periodic neighbourhood sequences, Discrete Math. 283 (2004), 101-111. paper
  24. K. Győry, L. Hajdu, Á. Pintér and A. Schinzel, Polynomials determined by a few of their coefficients, Indag. Math. 15 (2004), 209-221. paper
  25. L. Hajdu, Perfect powers in arithmetic progression. A note on the inhomogeneous case, Acta Arith. 113 (2004), 343-349. paper
  26. L. Hajdu, Irreducible polynomials in arithmetic progressions and a problem of Szegedy, Publ. Math. Debrecen 65 (2004), 363-370. paper
  27. K. Győry, L. Hajdu and N. Saradha, On the diophantine equation n(n+d)…(n+(k-1)d)=byl, Canad. Math. Bull. 47 (2004), 373-388. Correction: Canad. Math. Bull. 48 (2005), 636. paper correction
  28. A. Fazekas, A. Hajdu and L. Hajdu, Metrical neighborhood sequences Zn, Pat. Rec. Let. 26 (2005), 2022-2032. paper
  29. L. Hajdu, Unique reconstruction of bounded sets in discrete tomography, Electronic Notes in Discrete Mathematics 20 (2005), 15-25. paper
  30. M. Bennett, N. Bruin, K. Győry and L. Hajdu, Powers from products of consecutive terms in arithmetic progression, Proc. London Math. Soc. 92 (2006), 273-306. paper
  31. G. Hajdu and L. Hajdu, On an identity of Ramanujan over finitely generated domains, Acta Math. Hungar. 112 (2006), 143-155. paper
  32. N. Bruin, K. Győry, L. Hajdu and Sz. Tengely, Arithmetic progressions consisting of unlike powers, Indag. Math. 17 (2006), 539-555. paper
  33. L. Hajdu and Zs. Turi Nagy, Power values of sums of polynomials, Publ. Math. Debrecen 69 (2006), 321-331. paper
  34. A. Hajdu and L. Hajdu, On the lattice structure of subsets of octagonal neighbourhood sequences in Z^n, Lecture Notes in Computer Science, DGCI 2006 (A. Kuba, L. G. Nyúl, K. Palágyi eds.), LNCS 4245 (2006), 211-222. paper
  35. A. Hajdu, L. Hajdu and R. Tijdeman, General neighbourhood sequences in Z^n, Disc. Appl. Math. 155 (2007), 2507-2522. paper
  36. L. Hajdu and R. Tijdeman, Algebraic Discrete Tomography, in: Advances in Discrete Tomography and Its Applications (G. T. Herman and A. Kuba eds.), Birkhäuser, 2007, pp. 55-81. paper
  37. L. Hajdu, Arithmetic progressions in linear combinations of S-units, Period. Math. Hungar. 54 (2007), 175-181. paper
  38. G. Hajdu and L. Hajdu, Hosszú's equation over the Gaussian- and Eisenstein-integers, Aequationes Math. 20 (2007), 1-10. paper
  39. L. Hajdu, Powerful arithmetic progressions, Indag. Math. 19 (2008), 547-561. paper
  40. L. Hajdu and R. Tijdeman, A criterion for polynomials to divide infinitely many k-nomials, Diophantine Approximations, (H. P. Schlickewei, K. Schmidt and R. F. Tichy, eds.), Developments in Mathematics 16, Springer-Verlag, 2008, pp. 211-220. paper
  41. Zs. Ádám, L. Hajdu and F. Luca, Representing primes as linear combinations of pure powers, Acta Arith. 138 (2009), 101-107. paper
  42. L. Hajdu and T. Kovács, Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations, Math. Comp. 78 (2009), 1201-1210. paper examples
  43. L. Hajdu, Sz. Tengely and R. Tijdeman, Cubes in products of terms in arithmetic progression, Publ. Math Debrecen 74 (2009), 215-232. paper
  44. K. Győry, L. Hajdu and Á. Pintér, Perfect powers from products of consecutive terms in arithmetic progression, Compositio Math. 145 (2009), 845-864. paper
  45. L. Hajdu, Optimal systems of fundamental S-units for LLL-reduction, Period. Math. Hungar. 59 (2009), 79-105. paper
  46. L. Hajdu, A. Schinzel and M. Skalba, Multiplicative properties of sets of positive integers, Archiv der Math. 93 (2009), 269-276. paper
  47. L. Hajdu and Sz. Tengely, Arithmetic progressions of squares, cubes and n-th powers, J. Functiones et Approximatio 41 (2009), 129-138. paper
  48. A. Bérczes, L. Hajdu and A. Pethő, Arithmetic progressions in the solution sets of norm form equations, Rocky Mountain J. Math. Rocky Mountain J. Math. 40 (2010), 383-395. paper
  49. L. Hajdu and N. Saradha, On a problem of Pillai and its generalizations, Acta Arith. 144 (2010), 323-347. paper tables
  50. L. Hajdu L. and F. Luca, On the length of arithmetic progressions in linear combinations of S-units, Archiv der Math. 94 (2010), 357-363. Corrigendum to: DOI 10.1007/s00013-014-0681-x. Arch. Math. 103 (2014), 399–400. paper correction
  51. L. Hajdu and  N. Saradha, On a problem of Recaman and its generalization, J. Number Theory 131 (2011) 18-24. paper
  52. K. Győry, L. Hajdu and R. Tijdeman, Irreducibility criteria of Schur-type and Pólya-type, Monatsh. Math. 163 (2011), 369-380. paper
  53. K. J. Batenburg, W. Fortes, L. Hajdu and R. Tijdeman, Bounds on the difference between reconstructions in binary tomography, Discrete Geometry and Computer Imaginary, LNCS 6607 (2011), 369-380. paper
  54. Kovács L., Tomán H., Jónás Á., Hajdu L. és Hajdu A., Generalizing the majority voting scheme to conditional voting, Lecture Notes in Artificial Intelligence 6679 (2011), 189-196. paper
  55. L. Hajdu and T. Kovács, Almost fifth powers in arithmetic progressions, J. Number Theory 131 (2011), 18-24. paper
  56. L. Hajdu and R. Tijdeman, Representing integers as linear combinations of powers, Publ. Math. Debrecen 79 (2011), 461-468. paper
  57. A. Bérczes, A. Dujella, L. Hajdu and F. Luca, On the size of sets whose elements have perfect power n-shifted products, Publ. Math. Debrecen 79 (2011), 325-339. paper
  58. Tomán H., Kovács L., Jónás Á., Hajdu L. és Hajdu A., Generalized weighted majority voting with an application to algorithms having spatial output, 7th Int. Conf. on Hybrid Artificial Intelli-gence Systems (HAIS 2012), Lecture Notes in Computer Science, vol. 7209, pp. 56-67, 2012. paper
  59. L. Hajdu and N. Saradha, Disproof of a conjecture of Jacobsthal, Math. Comp. 81 (2012), 2461-2471. paper
  60. L. Hajdu and M. Szikszai, On the GCD-s of k consecutive terms of Lucas sequences, J. Number Theory 132 (2012) 3056-3069. paper
  61. L. Hajdu, N. Saradha and R. Tijdeman, On a conjecture of Pomerance, Acta Arith. 155 (2012), 175-184. paper
  62. L. Hajdu and R. Tijdeman, Representing integers as linear combinations of power products, Arch. Math. 98 (2012), 527-533. paper
  63. A. Hajdu, L. Hajdu and R. Tijdeman, Approximation of Euclidean distances by chamfer distances, Acta Cybernetica 20 (2012) 399-417. paper
  64. B. van Dalen, L. Hajdu and R. Tijdeman, Bounds for discrete tomography solutions, Indag. Math. 24 (2013), 391-402. paper
  65. K. J. Batenburg, W. Fortes, L. Hajdu and R. Tijdeman, Bounds on the quality of reconstructed images in binary tomography, Disc. Appl. Math. 67 (2013), 2236-2251. paper
  66. L. Hajdu, T. Kovács, A. Pethő and M. Pohst, On an optimization problem concerning lattices, Experimental Math. 22 (2013), 443-455. paper
  67. Hajdu L. and R. Tijdeman, Bounds for approximate discrete tomography solutions, SIAM Journal on Discrete Mathematics 27 (2013), 1055-1066. paper
  68. Hajdu A., Hajdu L, Kovács L. és Tomán H., Diversity measures for majority voting in the spatial domain, HAIS 2013 , Lecture Notes in Artificial Intelligence 8073, 2013, 314-323. paper
  69. Hajdu A., Hajdu L., Jónás Á., Kovács L., Tomán H., Generalizing the majority voting scheme to spatially constrained voting, IEEE Transactions on Image Processing 22 (2013), 4182-4194. paper
  70. D. Dombek, L. Hajdu and A. Pethő, Representing algebraic integers as linear combinations of units, Period. Math. Hung. 68 (2014), 135-142. paper
  71. L. Hajdu and V. Ziegler, Distinct unit generated totally complex quartic fields, Math. Comp. 83 (2014), 1495-1512. paper
  72. Hajdu L. and Szikszai M., On the GCD-s of k consecutive terms of elliptic divisibility sequences, Publ. Math. Debrecen 84 (2014), 291-301. paper
  73. Bérczes A., A. Dujella és Hajdu L., Some diophantine properties of the sequence of S-units, J. Number Theory 138 (2014), 48-68. paper
  74. Hajdu L., Pintér Á., Tengely Sz. and Varga N., Equal values of figurate numbers, J. Number Theory 137 (2014) 130-141. paper
  75. L. Hajdu and I. Pink, On the equation 1+2^a+x^b=y^n, J. Number Theory 143 (2014), 1-13. paper
  76. K. Győry, L. Hajdu, R. Tijdeman, Representation of finite graphs as difference graphs of S-units, I, J. Combin. Th. Series A 127 (2014), 314-335. paper
  77. A. Bérczes, L. Hajdu, N. Hirata-Kohno, T. Kovács, A. Pethő, A key exchange protocol based on Diophantine equations and S-integers, JSIAM Letters 6 (2014), 85-88. paper
  78. S. Akiyama, L. Aszalós, L. Hajdu, A. Pethő, Correlation clustering of graphs and integers, Infocommunication J. 6 (2014), 3-12. paper
  79. A. Custic, L. Hajdu, D. Kreso, R. Tijdeman, On conjectures and problems of Ruzsa, concerning difference graphs of S-units, Acta Math. Hungar. 146 (2015), 399-404. paper
  80. S. Brunetti, P. Dulio, Hajdu L., C. Peri, Ghosts in Discrete Tomography, Journal of Mathematical Imaging and Vision 53 (2015), 210-224. paper
  81. Hajdu L. és Szikszai M., Common factors in series of consecutive terms of associated Lucas and Lehmer sequences, Fibonacci Quart. 53 (2015), 221-229. paper
  82. L. Hajdu, On a conjecture of Schaffer concerning the equation 1^k+...+x^k=y^n, J. Number Theory 155 (2015), 129-138. Corrigendum: ibid 164 (2016) 429-432. paper correction
  83. Cs. Bertók, L. Hajdu, On a Hasse-type principle for exponential diophantine equations and its applications, Math. Comp. 85 (2016), 849-860. paper program
  84. Hajdu L., S. Laishram, Sz. Tengely, Power values of sums of products of consecutive integers, Acta Arith. 172 (2016), 333-349. paper
  85. A. Bérczes, A. Dujella, L. Hajdu, Sz. Tengely, Finiteness results for F-Diophantine sets, Monath. Math. 180 (2016), 469-484. paper
  86. L. Aszalós, L. Hajdu, A. Pethő, On a correlational clustering of integers, Indag. Math. 27 (2016), 173-191. paper
  87. A. Bérczes, L. Hajdu, T. Miyazaki, I. Pink, On the equation 1^k+2^k+...+x^k=y^n for fixed x, J. Number Theory 163 (2016), 43-60. paper
  88. L. Hajdu and N. Saradha, On generalizations of problems of Recaman and Pomerance, J. Number Theory 162 (2016), 552-563. paper
  89. K. Győry, L. Hajdu, R. Tijdeman, Representation of finite graphs as difference graphs of S-units, II, Acta Math. Hung. 149 (2016), 423-447. paper
  90. L. Hajdu, S. Laishram, M. Szikszai, Perfect powers in products of terms of elliptic divisibility sequences, Bull Austral. Math. Soc. 94 (2016), 395-404. paper
  91. A. Bérczes, L. Hajdu, T. Miyazaki, I. Pink, On the Diophantine equation 1+x^a+z^b=y^n, Journal of Combinatorics and Number Theory 8 (2016), 145-154. paper
  92. A. Hajdu, B. Harangi, R. Besenczi, I. Lazar, G. Emri, L. Hajdu, R. Tijdeman, Measuring Regularity of Network Patterns by Grid Approximations using the LLL Algorithm, 23rd International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, 2016, 1525-1530. paper
  93. A. Hajdu, H. Toman, L. Kovács, L. Hajdu, Composing ensembles by a stochastic approach under execution time constraint, 23rd International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, 2016, 222-227. https://ieeexplore.ieee.org/document/7899637
  94. C. Fuchs, L. Hajdu, 30 years of collaboration, Period. Math. Hung. 74 (2017), 255-274. https://link.springer.com/article/10.1007/s10998-016-0158-8
  95. Cs. Bertók, L. Hajdu, I. Pink, Zs. Rábai, Linear combinations of prime powers in binary recurrence sequences, International Journal of Number Theory 13 (2017), 261-271. paper
  96. Cs. Bertók, L. Hajdu, F. Luca, D. Sharma, On the number of non-zero digits of integers in multi-base representations, Publ. Math. Debrecen 90 (2017), 181-194. paper
  97. Cs. Bertók, L. Hajdu and A. Pethő, On the distribution of polynomials with bounded height, J. Number Theory 179 (2017), 172-184. paper
  98. L. Hajdu and R. Tijdeman, Consistency conditions for discrete tomography, Fundamenta Informaticae 155 (2017), 425-447. paper
  99. L. Hajdu, M. Szikszai and V. Ziegler, On arithmetic progressions in Lucas sequences, J. Integer Seq. 20 (2017), Article 17.8.6. paper
  100. A. Bazsó, A. Bérczes, L. Hajdu, F. Luca, Polynomial values of sums of products of consecutive integers, Monatsh. Math. 187 (2018), 21-34. paper
  101. L. Hajdu, Á. Papp, T. Szakács, On the equation A!B!=C!, J. Number Theory 187 (2018), 160-165. paper
  102. L. Hajdu; A. Sárközy, On multiplicative decompositions of polynomial sequences, I, Acta Arith. 184 (2018), 139-150. paper
  103. L. Hajdu; A. Sárközy, On multiplicative decompositions of polynomial sequences, II, Acta Arith. 186 (2018), 191-200. paper
  104. Cs. Bertók, L. Hajdu, A Hasse-type principle for exponential Diophantine equations over number fields and its applications, Monatsh. Math. 187 (2018), 425-436. paper
  105. Cs. Bertók, K. Győry, L. Hajdu, A. Schinzel, On the smallest number of terms of vanishing sums of units in number fields, J. Number Theory 192 (2018), 328-347. paper
  106. L. Hajdu; Á. Papp, On asymptotic density properties of the sequence (n!)_{n=0}^\infty, Acta Arith. 184 (2018), 317-340. paper
  107. A. Hajdu, L. Hajdu, R. Tijdeman, Finding well approximating lattices for a finite set of points, Mathematics of Computations 88 (2019), 369-387. paper
  108. A. Bérczes, A. Dujella, L. Hajdu, N. Saradha, R. Tijdeman, Products of factorials which are powers, Acta Arith. 190 (2019), 339-350. paper
  109. A. Bérczes, L. Hajdu, I. Pink, S. S. Rout, Sums of S-units in recurrence sequences, J. Number Theory 196 (2019), 353-363. paper
  110. L. Hajdu; R. Tijdeman, Skolem's conjecture confirmed for a family of exponential equations, Acta Arith. 192 (2020), 105-110. paper
  111. A. Bazsó; L. Hajdu, Polynomial values of sums of hyperbolic binomial coefficients, Functiones et Approximatio 63 (2020), 95-112. paper
  112. L. Hajdu; A. Sárközy, On multiplicative decompositions of polynomial sequences, III, Acta Arith. 193 (2020), 193-216. paper
  113. L. Hajdu, On special extrema of polynomials with applications to Diophantine problems, Research in Number Theory 6 (2020), Article number: 3. paper
  114. L. Hajdu; Á. Papp, Polynomial values of products of terms from an arithmetic progression, Monath. Math. 193 (2020), 637-655. Correction to: ibid 195 (2021), 377. paper correction
  115. L. Hajdu; P. Sebestyén, Sums of S-units in the solution sets of generalized Pell equations, Archiv der Mathematik 115 (2020), 279-287. paper
  116. L. Hajdu; N. Varga, Polynomial values of figurate numbers, J. Number Theory 214 (2020), 79-99. paper
  117. L. Hajdu, O. Herendi, Polynomial values of surface point counting polynomials, Int. J. Number Theory 17 (2021), 15-32. paper
  118. L. Hajdu, Sz. Tengely, Powers in arithmetic progressions, Ramanujan Journal 55 (2021), 965-986. paper
  119. A. Bérczes; L. Hajdu; R. Tijdeman, Skolem's conjecture confirmed for a family of exponential equations II, Acta Arith. 197 (2021), 129-136. paper
  120. K. Győry; L. Hajdu; A. Sárközy, On additive and multiplicative decompositions of sets of integers with restricted prime factors, I. (Smooth numbers.), Indag. Math. 32 (2021), 365-374. paper
  121. L. Hajdu, F. Luca, R. Tijdeman, Skolem's conjecture confirmed for a family of exponential equations III, J. Number Theory 224 (2021), 41-49. paper
  122. K. Győry; L. Hajdu; A. Sárközy, On additive and multiplicative decompositions of sets of integers with restricted prime factors, II. (Smooth numbers and generalizations.), Indag. Math. 32 (2021), 812-823. paper
  123. G. Hajdu, L. Hajdu, On the Liouville function on rational polynomial values, Acta Arith. 201 (2021), 119-130. paper
  124. K. Győry; L. Hajdu; A. Sárközy, On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I. (Additive decompositions.), Acta Arith. 202 (2022), 29-42. paper
  125. L. Hajdu, Á. Papp, R. Tijdeman, The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations, Ramanujan J. 58 (2022), 1075-1093. paper
  126. L. Hajdu; P. Sebestyén, Terms of recurrence sequences in the solution sets of generalized Pell equations, Int. J. Number Theory 18 (2022), 1605-1612. paper
  127. L. Hajdu, N. Varga, Diophantine equations for polynomials with restricted coefficients, I (power values), Bull. Austral. Math. Soc. 106 (2022), 254-263. paper
  128. L. Hajdu, Á. Papp, Uniform bounds for the number of powers in arithmetic progressions, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 116 (2022), article no. 169. paper
  129. L. Hajdu, O. Herendi, Extrema of polynomials with real roots and Diophantine equations, J. Number Theory 242 (2023), 626-646. paper
  130. L. Hajdu, R. Tijdeman, N. Varga, On polynomials with only rational roots, Mathematika 69 (2023), 867-878. paper
  131. L. Hajdu, R. Tijdeman, The Diophantine equation f(x)=g(y) for polynomials with simple rational roots, J. London Math. Soc. 108 (2023), 309-339. paper
  132. A. Bérczes, L. Hajdu, F. Luca, I. Pink, Additive Diophantine equations with binary recurrences, S-units and several factorials, Results in Math. 78 (2023), Article number: 116. paper
  133. L. Hajdu, R. Tijdeman, N. Varga, Diophantine equations for Littlewood polynomials, Acta Arith., published online: 12 January 2023. paper
  134. M. Ceko, L. Hajdu, R. Tijdeman, Error Correction for Discrete Tomography, Fundamenta Informaticae (accepted). paper
  135. K. Győry; L. Hajdu; A. Sárközy, On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II. (Multiplicative decompositions.), Acta Arith. (accepted). paper
Last update: 2023. 08. 16. 19:32