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We present the package RICA (Rule Induced Convolutions for Asymptotics), which aims at calculating Mellin representations and asymptotic expansions at infinity of those objects. These representations are of particular interest to perform analytic continuations of such sums.<\/jats:p>","DOI":"10.1145\/3614408.3614410","type":"journal-article","created":{"date-parts":[[2023,8,7]],"date-time":"2023-08-07T16:06:15Z","timestamp":1691424375000},"page":"31-34","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Computing Mellin Representations and Asymptotics of Nested Binomial Sums in a Symbolic Way: The RICA Package"],"prefix":"10.1145","volume":"57","author":[{"given":"Johannes","family":"Bl\u00fcmlein","sequence":"first","affiliation":[{"name":"Deutsches Elektronen-Synchrotron, DESY, Zeuthen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nikolai","family":"Fadeev","sequence":"additional","affiliation":[{"name":"Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Linz, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carsten","family":"Schneider","sequence":"additional","affiliation":[{"name":"Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Linz, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2023,8,7]]},"reference":[{"key":"e_1_2_1_1_1","first-page":"112301","volume":"55","author":"Ablinger J.","year":"2014","unstructured":"J. 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Nuclear Physics B 885 (2014) 280--317. arXiv:1405.4259 [hep-ph].","journal-title":"Nuclear Physics B"},{"key":"e_1_2_1_3_1","volume-title":"Computer Algebra Algorithms for Special Functions in Particle Physics. RISC","author":"Ablinger J.","year":"2012","unstructured":"J. Ablinger . Computer Algebra Algorithms for Special Functions in Particle Physics. RISC , Johannes Kepler University , Ph D thesis, 2012 . arXiv:1305.0687 [math-ph]. J.Ablinger. Computer Algebra Algorithms for Special Functions in Particle Physics. RISC, Johannes Kepler University, PhD thesis, 2012. arXiv:1305.0687 [math-ph]."},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0217751X99001032"},{"key":"e_1_2_1_5_1","first-page":"60","author":"Bl\u00fcmlein J.","year":"1999","unstructured":"J. Bl\u00fcmlein and S. Kurth . Harmonic sums and Mellin transforms up to two loop order. Phys. Rev. D 60 ( 1999 ). arXiv:014018 [hep-ph]. J. Bl\u00fcmlein and S. Kurth. Harmonic sums and Mellin transforms up to two loop order. Phys. Rev. D 60 (1999). arXiv:014018 [hep-ph].","journal-title":"Phys. Rev. D"},{"key":"e_1_2_1_6_1","first-page":"15","volume":"1","author":"Remiddi E.","year":"2000","unstructured":"E. Remiddi and J.A.M. Vermaseren . Harmonic polylogarithms. Int. J. Mod. Phys. 1 15 ( 2000 ) 725--754. arXiv:9905237 [hep-ph]. E. Remiddi and J.A.M. Vermaseren. Harmonic polylogarithms. Int. J. Mod. Phys. 1 15 (2000) 725--754. arXiv:9905237 [hep-ph].","journal-title":"Int. J. Mod. Phys."},{"key":"e_1_2_1_7_1","first-page":"102301","volume":"52","author":"Ablinger J.","year":"2011","unstructured":"J. Ablinger , J. Bl\u00fcmlein and C. Schneider . Harmonic sums and polylogarithms generated by cyclotomic polynomials. J. Math. Phys. 52 ( 2011 ) 102301 . arXiv:1105.6063 [math-ph]. J. Ablinger, J. Bl\u00fcmlein and C. Schneider. Harmonic sums and polylogarithms generated by cyclotomic polynomials. J. Math. Phys. 52 (2011) 102301. arXiv:1105.6063 [math-ph].","journal-title":"Harmonic sums and polylogarithms generated by cyclotomic polynomials. J. Math. Phys."},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1471366"},{"key":"e_1_2_1_9_1","doi-asserted-by":"crossref","first-page":"082301","DOI":"10.1063\/1.4811117","volume":"54","author":"Ablinger J.","year":"2013","unstructured":"J. Ablinger , J. Bl\u00fcmlein and C. Schneider . Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. J. Math. Phys. 54 ( 2013 ) 082301 . arXiv:1302.0378 [math-ph]. J. Ablinger, J. Bl\u00fcmlein and C. Schneider. Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. J. Math. Phys. 54 (2013) 082301. arXiv:1302.0378 [math-ph].","journal-title":"J. Math. Phys."},{"volume-title":"Proceedings of the 13th DESY Workshop on Elementary Particle Physics, Loops and Legs in Quantum Field Theory, PoS(LL2016)","author":"Ablinger J.","key":"e_1_2_1_10_1","unstructured":"J. Ablinger . Inverse Mellin transform of holonomic sequences . In: Proceedings of the 13th DESY Workshop on Elementary Particle Physics, Loops and Legs in Quantum Field Theory, PoS(LL2016) 067. arXiv:1606.02845 [cs.SC]. J. Ablinger. Inverse Mellin transform of holonomic sequences. In: Proceedings of the 13th DESY Workshop on Elementary Particle Physics, Loops and Legs in Quantum Field Theory, PoS(LL2016)067. arXiv:1606.02845 [cs.SC]."},{"key":"e_1_2_1_11_1","volume-title":"Teubner","author":"Nielsen N.","year":"1906","unstructured":"N. Nielsen . Handbuch der Theorie der Gammafunktion. B. G . Teubner , 1906 , Leipzig. N. Nielsen. Handbuch der Theorie der Gammafunktion. B. G. 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Schneider (ed.), Texts and Monographs in Symbolic Computuation, Springer, pp. 423--485, 2021. arXiv:2102.01471 [cs.SC]."}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3614408.3614410","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3614408.3614410","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T22:50:29Z","timestamp":1750287029000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3614408.3614410"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6]]},"references-count":14,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,6]]}},"alternative-id":["10.1145\/3614408.3614410"],"URL":"https:\/\/doi.org\/10.1145\/3614408.3614410","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2023,6]]},"assertion":[{"value":"2023-08-07","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}