List of citations

Note that self-citations and co-author self-citations are excluded.

• [pdf, doi] Ideal convergence of bounded sequences, J. Symbolic Logic 72 (2007), no. 2, 501--512 (with N. Mrożek, I. Recław and P. Szuca)
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• [pdf, doi] Three kinds of convergence and the associated I-Baire classes, J. Math. Anal. Appl. 391 (2012), no. 1, 1-9 (with P. Szuca)
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  3. [doi] G. García, A quantitative version of Helly’s selection principle in Banach spaces and its applications. Ann. Funct. Anal. 11 (2020), no. 4, 1220–1235.
  4. [doi] C. Uzcátegui Aylwin, Ideals on countable sets: a survey with questions. Rev. Integr. Temas Mat. 37 (2019), no. 1, 167–198.
  5. H. Feng and D. Hobson, Gambling in contests with random initial law, Ann. Appl. Probab. 26 (2016), no. 1, 186-215.
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  7. E. Athanassiadou, A. Boccuto, X. Dimitriou, and N. Papanastassiou, Ascoli-type theorems and ideal (α)-convergence, Filomat 26 (2012), no. 2, 397-405.
• [pdf, doi] Density versions of Schur's theorem for ideals generated by submeasures, J. Combin. Theory Ser. A 117 (2010), no. 7, 943-956 (with P. Szuca)
  1. [doi] J. Tryba, Different kinds of density ideals. J. Math. Anal. Appl. (2021), 124930.
  2. [doi] K. Bose, P. Das, S. Sengupta, On spliced sequences and the density of points with respect to a matrix constructed by using a weight function. Ukraïn. Mat. Zh. 71 (2019), no. 9, 1192–1207; reprinted in Ukrainian Math. J. 71 (2020), no. 9, 1359–1378
  3. [doi, pdf] P. Das, K. Bose, S. Sengupta, On IA-Density of Points and Some of its Consequences, Filomat 31 (2017), no. 20, 6585-6595.
  4. S. Głąb and M. Olczyk, Convergence of Series on Large Set of Indices, Math. Slovaca 65 (2015), no. 5, 1095-1106.
  5. A. Bartoszewicz, P. Das, and S. Głąb, On matrix summability of spliced sequences and A-density of points, Linear Algebra Appl. 487 (2015), 22-42.
  6. P. Das, S. Dutta, S. A. Mohiuddine, and A. Alotaibi, A-statistical cluster points in finite dimensional spaces and application to turnpike theorem, Abstr. Appl. Anal. (2014), Art. ID 354846, 7.
  7. A. Boccuto, X. Dimitriou, and N. Papanastassiou, Schur lemma and limit theorems in lattice groups with respect to filters, Math. Slovaca 62 (2012), no. 6, 1145-1166.
• [pdf, doi] On some questions of Drewnowski and Łuczak concerning submeasures on N, J. Math. Anal. Appl. 371 (2010), no. 2, 655-660 (with P. Szuca)
  1. [arXiv] L. Drewnowski, Nonatomic submeasures on N and the Banach space l_1 (2021)
  2. [doi] K. Bose, P. Das, S. Sengupta, On spliced sequences and the density of points with respect to a matrix constructed by using a weight function. Ukraïn. Mat. Zh. 71 (2019), no. 9, 1192–1207; reprinted in Ukrainian Math. J. 71 (2020), no. 9, 1359–1378
  3. [doi, pdf] P. Das, K. Bose, S. Sengupta, On IA-Density of Points and Some of its Consequences, Filomat 31 (2017), no. 20, 6585-6595.
  4. S. Głąb and M. Olczyk, Convergence of Series on Large Set of Indices, Math. Slovaca 65 (2015), no. 5, 1095-1106.
  5. A. Bartoszewicz, P. Das, and S. Głąb, On matrix summability of spliced sequences and A-density of points, Linear Algebra Appl. 487 (2015), 22-42.
  6. T. Natkaniec and J. Wesołowska, Sets of ideal convergence of sequences of quasi-continuous functions, J. Math. Anal. Appl. 423 (2015), no. 2, 924-939.
• [pdf, doi] On the difference property of Borel measurable and (s)-measurable functions, Acta Math. Hungar. 96 (2002), no. 1-2, 21-25 (with I. Recław)
  1. H. Fujita and T. Matrai, On the difference property of Borel measurable functions, Fund. Math. 208 (2010), no. 1, 57-73.
  2. H. Fujita, Remarks on two problems by M. Laczkovich on functions with Borel measurable differences, Acta Math. Hungar. 117 (2007), no. 1-2, 153-160.
  3. K. Ciesielski and J. Pawlikowski, Nice Hamel bases under the covering property axiom, Acta Math. Hungar. 105 (2004), no. 3, 197-213.
  4. K. Ciesielski and J. Pawlikowski, The covering property axiom, CPA, Cambridge Tracts in Mathematics, vol. 164, Cambridge University Press, Cambridge, 2004.
  5. M. Laczkovich, The difference property, Paul Erdos and his mathematics, I (Budapest, 1999), Bolyai Soc. Math. Stud., vol. 11, Janos Bolyai Math. Soc., Budapest, 2002, pp. 363-410.
• [pdf] Ideal convergence, a chapter in the monograph Traditional and present-day topics in real analysis, Łódź University Press, 2013, Editors: M. Filipczak, E. Wagner-Bojakowska (with T. Natkaniec and P. Szuca) [Cover and table of contents of the book]
  1. [arXiv, pdf] P. Das, A. Ghosh, When ideals properly extend the class of Arbault sets, arXiv:2401.02103
  2. [doi] P. Das, A. Ghosh, Eggleston’s dichotomy for characterized subgroups and the role of ideals, Ann. Pure Appl. Logic (2023), 103289
  3. [doi] P. Das, Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements, Axioms 2022, 11(1).
  4. [doi] M. Staniszewski, On ideal equal convergence II, J. Math. Anal. Appl. 451 (2017), no. 2, 1179–1197
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• [pdf, doi] Representation of ideal convergence as a union and intersection of matrix summability methods, J. Math. Anal. Appl. 484 (2020), no. 2, 123760 (with J. Tryba)
  1. [arXiv, pdf] P. Leonetti, Core equality of real sequences, arXiv:2401.01136
  2. [arXiv, pdf] P. Leonetti, Strong universality, recurrence, and analytic P-ideals in dynamical systems, arXiv:2401.01131
  3. [arXiv, pdf] A. Marton, J. Supina, On P-like ideals induced by disjoint families, arXiv:2212.07260 [math.GN]
  4. [pdf, arXiv] P. Leonetti, C. Orhan, On some locally convex FK spaces, arXiv:2205.15048 .
  5. [doi] P. Das, Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements, Axioms 2022, 11(1).
• [pdf, doi] On some properties of Hamel bases and their applications to Marczewski measurable functions, Cent. Eur. J. Math. 11 (2013), no. 3, 487-508 (with F. Dorais and T. Natkaniec)
  1. [doi] N.H. Bingham, E. Jabłońska, W. Jabłoński, A. Ostaszewski On Subadditive Functions Bounded Above on a “Large” Set, Results Math 75, 58 (2020)
  2. A. B. Kharazishvili, Set Theoretical Aspects of Real Analysis, Monographs and Research Notes in Mathematics, Taylor & Francis, 2014.
  3. N. H. Bingham and A. J. Ostaszewski, The Steinhaus theorem and regular variation: de Bruijn and after, Indag. Math. (N.S.) 24 (2013), no. 4, 679-692.
• [pdf, doi] Coincidence of PTPN22 c.1858CC and FCRL3 -169CC genotypes as a biomarker of preserved residual β-cell function in children with type 1 diabetes, Pediatric Diabetes 18 (2017), no. 8, 696-705 (with M. Pawłowicz, G. Krzykowski, A. Stanisławska-Sachadyn, L. Morzuch, J. Kulczycka, A. Balcerska, J. Limon)
  1. [doi] R. Žak, L. Navasardyan, J. Hunák, J. Martinů, P. Heneberg, PTPN22 intron polymorphism rs1310182 (c.2054-852T>C) is associated with type 1 diabetes mellitus in patients of Armenian descent
  2. [doi] G. Huraib, F. Harthi, M. Arfin, A. Al-Asmari, The Protein Tyrosine Phosphatase Non-Receptor Type 22 (PTPN22) Gene Polymorphism and Susceptibility to Autoimmune Diseases, a chapter in The Recent Topics in Genetic Polymorphisms, (2020).
  3. [doi] M. Z. Haider, M. A. Rasoul, M. Al-Mahdi, H. Al-Kandari, G. S. Dhaunsi, Association of protein tyrosine phosphatase non-receptor type 22 gene functional variant C1858T, HLA-DQ/DR genotypes and autoantibodies with susceptibility to type-1 diabetes mellitus in Kuwaiti Arabs, PLoS ONE 13(6): e0198652, (2018)
• [pdf, doi] Extending the ideal of nowhere dense subsets of rationals to a P-ideal, Comment. Math. Univ. Carolin. 54 (2013), no. 3, 429-435 (with N. Mrożek, I. Recław and P. Szuca)
  1. [arXiv, pdf ] P. Leonetti, Tauberian theorems for ordinary convergence, arXiv:2012.03311 [math.FA]
  2. [doi, arXiv, pdf] M. Balcerzak, P. Leonetti, The Baire category of subsequences and permutations which preserve limit points. Results Math. 75 (2020), no. 4, Paper No. 171, 14 pp.
• [pdf, doi] There are measurable Hamel functions, Real Anal. Exchange 36 (2010/2011), no. 1, 223-230 (with A. Nowik and P. Szuca)
  1. T. Natkaniec, An example of a quasi-continuous Hamel function, Real Anal. Exchange 36 (2010/11), no. 1, 231-236.
  2. G. Matusik and T. Natkaniec, Algebraic properties of Hamel functions, Acta Math. Hungar. 126 (2010), no. 3, 209-229.
• [pdf, doi] Algebraic sums of sets in Marczewski-Burstin algebras, Real Anal. Exchange 31 (2005/2006), no. 1, 133-142 (with F. Dorais)
  1. A. B. Kharazishvili, Set Theoretical Aspects of Real Analysis, Monographs and Research Notes in Mathematics, Taylor & Francis, 2014.
  2. M. Kysiak, Nonmeasurable algebraic sums of sets of reals, Colloq. Math. 102 (2005), no. 1, 113-122.
• [pdf, doi] On the difference property of the family of functions with the Baire property, Acta Math. Hungar. 100 (2003), no. 1-2, 97-104
  1. T. Matrai, Weak difference property of functions with the Baire property, Fund. Math. 177 (2003), no. 1, 1-17.
  2. M. Laczkovich, The difference property, Paul Erdos and his mathematics, I (Budapest, 1999), Bolyai Soc. Math. Stud., vol. 11, Janos Bolyai Math. Soc., Budapest, 2002, pp. 363-410.
• [pdf, doi] On Hindman spaces and the Bolzano-Weierstrass property, Topology Appl. 160 (2013), no. 15, 2003-2011
  1. [pdf, doi] M. Singha, U. K. Hom, Variant of thin sets and their influence in convergence, Filomat 37:17 (2023), 5847–5858
  2. [doi] K. Kowitz, Differentially compact spaces, Topology and its Applications, Volume 307, 2022, 107948,
• [pdf, doi] The reaping and splitting numbers of nice ideals, Colloq. Math. 134 (2014), no. 2, 179-192
  1. [doi] H. Zhang, J. He, S. Zhang, Splitting positive sets, Sci. China Math. (2023)
  2. [pdf] P. Das, U. Samanta, D. Chandra, A more balanced approach to ideal variation of γ-covers, Houston J. Math. 46 (2020), no. 2, 519–535.
• [pdf, doi] Densities for sets of natural numbers vanishing on a given family, J. of Number Theory 211 (2020), 371-382 (with J. Tryba)
  1. [arXiv, pdf] P. Leonetti, M. Caprio, Turnpike in infinite dimension, arXiv:2012.06808 [math.FA]
• [pdf, doi] A note on nonregular matrices and ideals associated with them, Colloq. Math. 159 (2020), no. 1, 29-45 (with P. Das and J. Tryba)
  1. [doi] M. Balcerzak and P. Leonetti, A Tauberian theorem for ideal statistical convergence, Indag. Math. (N.S.) 31 (2020), no. 1, 83–95.
• [pdf, doi] Convergence in van der Waerden and Hindman spaces, Topology Appl. 178 (2014), 438-452 (with J. Tryba)
  1. [arxiv, doi] A. Kwela, Unboring ideals, Fund. Math. 261 (2023), 235-272
• [arXiv, PDF] A unified approach to Hindman, Ramsey and van der Waerden spaces (with K. Kowitz and A. Kwela)
  1. [arxiv] C. Corral, O. Guzmán, C. López-Callejas, P. Memarpanahi, P. Szeptycki, S. Todorčevic, Infinite dimensional sequential compactness: Sequential compactness based on barriers, arXiv:2309.04397