{"id":19,"date":"2012-09-05T11:22:25","date_gmt":"2012-09-05T15:22:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=19"},"modified":"2026-06-28T23:11:02","modified_gmt":"2026-06-29T03:11:02","slug":"publications","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/aritramdhar\/publications\/","title":{"rendered":"Publications, Preprints & Work in Progress"},"content":{"rendered":"\n
\n

Publications, Preprints & Work in Progress<\/h1>\n\n\n\n

Listed below are my works in progress and publications and preprints in reverse chronological order:<\/p>\n\n\n\n

Here is a link to all my articles on the arXiv: https:\/\/arxiv.org\/a\/dhar_a_2.html<\/a><\/p>\n\n\n\n

\\(\\underline{\\text{Publications and Preprints}}\\):<\/h3>\n\n\n\n
    \n
  1. Separable integer partition classes and Slater’s list – II (with A. Goswami and R. Li) submitted. [arXiv<\/a>]<\/li>\n\n\n\n
  2. Weighted partitions with interval restrictions: exact formulas and a bivariate master identity (with G. E. Andrews, M. E. Bachraoui, A. Goswami and R. Li) submitted. [arXiv<\/a>]<\/li>\n\n\n\n
  3. Euler’s Pentagonal Number Theorem-type results via minimal excludants of partitions and overpartitions (with R. Gupta, A. Mukhopadhyay and R. Sarma) submitted.<\/li>\n\n\n\n
  4. Separable integer partition classes and Slater’s list – I (with A. Goswami and R. Li) submitted. [arXiv<\/a>]<\/li>\n\n\n\n
  5. Inequalities for the number of \\(t\\)-hooks in two partition classes arising from sum-product identities (with B. Kim, E. Kim and A. J. Yee) submitted. [arXiv<\/a>]<\/li>\n\n\n\n
  6. On Glaisher’s Partition Theorem (with G. E. Andrews) submitted. [arXiv<\/a>]<\/li>\n\n\n\n
  7. Further applications of cubic \\(q\\)-binomial transformations (with A. Berkovich) Discrete Math.<\/em> 349 (10) (2026) 115204, 8 pp. [arXiv<\/a>] [journal<\/a>]<\/li>\n\n\n\n
  8. Finite analogs of partition bias related to hook length two and a variant of Sylvester’s map (with A. Berkovich), Ramanujan J.<\/em> 68 (4)<\/strong>, 2025 (to appear in the special issue in honor of Krishnaswami Alladi: Founding Editor-in-Chief of the Ramanujan Journal). [arXiv<\/a>] [journal<\/a>]<\/li>\n\n\n\n
  9. On new minimal excludants of overpartitions related to some \\(q\\)-series of Ramanujan (with A. Mukhopadhyay and R. Sarma), Bull. Aust. Math. Soc. <\/em>112 (1)<\/strong>, pp 1-13, 2025. [arXiv<\/a>] [journal<\/a>]<\/li>\n\n\n\n
  10. New Borwein-type conjectures (with A. Berkovich), Exp. Math.<\/em> 35<\/strong> (2)<\/strong>, 349\u2013352, 2026. [arXiv<\/a>] [journal<\/a>]<\/li>\n\n\n\n
  11. Extension of Bressoud’s generalization of Borwein’s Conjecture<\/span> and some exact results<\/span> (with A. Berkovich), Ramanujan J. <\/em>67<\/strong> (16)<\/strong>, 2025 (to appear in the special issue in honor of the 85th birthdays of George E. Andrews and Bruce C. Berndt). [arXiv<\/a>] [journal<\/a>]<\/li>\n\n\n\n
  12. Pfaff’s Method Revisited, to appear in Contributions to Discrete Mathematics<\/em>. [arXiv<\/a>]<\/li>\n\n\n\n
  13. On partitions with bounded largest part and fixed integral GBG-rank modulo primes (with A. Berkovich) Ann. Comb<\/em>. 29 (4)<\/strong>, 1063-1076, 2025. [arXiv<\/a>] [journal<\/a>]<\/li>\n\n\n\n
  14. A bijective proof of an identity of Berkovich and Uncu (with A. Mukhopadhyay), S\u00e9minaire Lotharingien de Combinatoire<\/em> 90<\/strong> (2026), Article B90a, 16 pp. [arXiv<\/a>] [journal<\/a>]<\/li>\n\n\n\n
  15. On \\(_5\\psi_5\\) identities of Bailey, Int. J. Number<\/i> Theory<\/em>, 20 (2)<\/strong>, 507-517, 2024. [arXiv<\/a>] [journal<\/a>]<\/li>\n\n\n\n
  16. Generalization of the Extended Minimal Excludant of Andrews and Newman (with A. Mukhopadhyay and R. Sarma), J. Integer Sequences, <\/em>26<\/strong>, 2023, Article 23.3.7. [arXiv<\/a>] [journal<\/a>]<\/li>\n\n\n\n
  17. Proofs of Two Formulas of Vladeta Jovovic, The Mathematics Student<\/em>, 93, Nos. 1-2, January – June (2024), 24-29. [arXiv<\/a>] [journal<\/a>]<\/li>\n<\/ol>\n\n\n\n

    \\(\\underline{\\text{Work in Progress}}\\):<\/h3>\n\n\n\n
      \n
    1. TBD (with G. E. Andrews) in preparation.<\/li>\n\n\n\n
    2. TBD (with A. Berkovich) in preparation.<\/li>\n\n\n\n
    3. TBD (with A. Goswami and R. Li) in preparation.<\/li>\n\n\n\n
    4. TBD (with A. Goswami and R. Li) in preparation.<\/li>\n\n\n\n
    5. Fixed Points in Certain Restricted Integer Partitions (with B. Hopkins and J. Sellers) in preparation.<\/li>\n\n\n\n
    6. A note on Lehmer-type partition statistics (with A. Malik) in preparation.<\/li>\n<\/ol>\n\n\n\n

      TBD – To Be Decided<\/p>\n<\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1233,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/aritramdhar\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/aritramdhar\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/aritramdhar\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/aritramdhar\/wp-json\/wp\/v2\/users\/1233"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/aritramdhar\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/aritramdhar\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":913,"href":"https:\/\/people.clas.ufl.edu\/aritramdhar\/wp-json\/wp\/v2\/pages\/19\/revisions\/913"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/aritramdhar\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}