Mao, Guo-Shuai; Schlosser, Michael J. Supercongruences involving Domb numbers and binary quadratic forms. (English) Zbl 07762418 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 11, 14 p. (2024). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11B83 11E16 11E25 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{M. J. Schlosser}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 11, 14 p. (2024; Zbl 07762418) Full Text: DOI arXiv OA License
Küstner, Josef; Schlosser, Michael J.; Yoo, Meesue Lattice paths and negatively indexed weight-dependent binomial coefficients. (English) Zbl 1526.05005 Ann. Comb. 27, No. 4, 917-955 (2023). MSC: 05A10 05E16 05E05 11B65 11B73 33E05 PDFBibTeX XMLCite \textit{J. Küstner} et al., Ann. Comb. 27, No. 4, 917--955 (2023; Zbl 1526.05005) Full Text: DOI
Bhatnagar, Gaurav; Kumari, Archna; Schlosser, Michael J. A weighted extension of Fibonacci numbers. (English) Zbl 07745975 J. Difference Equ. Appl. 29, No. 7, 733-747 (2023). MSC: 11B39 11B65 33E05 05A19 PDFBibTeX XMLCite \textit{G. Bhatnagar} et al., J. Difference Equ. Appl. 29, No. 7, 733--747 (2023; Zbl 07745975) Full Text: DOI arXiv
Schlosser, Michael J. Bilateral identities of the Rogers-Ramanujan type. (English) Zbl 07739840 Trans. Am. Math. Soc., Ser. B 10, 1119-1140 (2023). MSC: 11P84 33D15 PDFBibTeX XMLCite \textit{M. J. Schlosser}, Trans. Am. Math. Soc., Ser. B 10, 1119--1140 (2023; Zbl 07739840) Full Text: DOI arXiv
Schlosser, Michael J.; Zhou, Nian Hong On the infinite Borwein product raised to a positive real power. (English) Zbl 07695117 Ramanujan J. 61, No. 2, 515-543 (2023). MSC: 11P55 11F03 11F30 26D20 PDFBibTeX XMLCite \textit{M. J. Schlosser} and \textit{N. H. Zhou}, Ramanujan J. 61, No. 2, 515--543 (2023; Zbl 07695117) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. New \(q\)-analogues of Van Hamme’s (E.2) supercongruence and of a supercongruence by Swisher. (English) Zbl 1525.11004 Result. Math. 78, No. 3, Paper No. 105, 13 p. (2023). MSC: 11A07 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Result. Math. 78, No. 3, Paper No. 105, 13 p. (2023; Zbl 1525.11004) Full Text: DOI
Guo, Victor J. W.; Schlosser, Michael J. Three families of \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial. (English) Zbl 07647275 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 9, 11 p. (2023). MSC: 11-XX 33D15 11A07 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 9, 11 p. (2023; Zbl 07647275) Full Text: DOI
Guo, Victor J. W.; Liu, Ji-Cai; Schlosser, Michael J. An extension of a supercongruence of Long and Ramakrishna. (English) Zbl 07640176 Proc. Am. Math. Soc. 151, No. 3, 1157-1166 (2023). MSC: 33C20 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo} et al., Proc. Am. Math. Soc. 151, No. 3, 1157--1166 (2023; Zbl 07640176) Full Text: DOI arXiv
Bhatnagar, Gaurav; Kumari, Archna; Schlosser, Michael J. An esoteric identity with many parameters and other elliptic extensions of elementary identities. arXiv:2310.20219 Preprint, arXiv:2310.20219 [math.NT] (2023). MSC: 11B65 05A20 11B83 BibTeX Cite \textit{G. Bhatnagar} et al., ``An esoteric identity with many parameters and other elliptic extensions of elementary identities'', Preprint, arXiv:2310.20219 [math.NT] (2023) Full Text: arXiv OA License
Ram, Samrith; Schlosser, Michael J. Diagonal operators, \(q\)-Whittaker functions and rook theory. arXiv:2309.06401 Preprint, arXiv:2309.06401 [math.CO] (2023). MSC: 15B33 05A15 05A18 05A05 05E05 11B65 BibTeX Cite \textit{S. Ram} and \textit{M. J. Schlosser}, ``Diagonal operators, $q$-Whittaker functions and rook theory'', Preprint, arXiv:2309.06401 [math.CO] (2023) Full Text: arXiv OA License
Schlosser, Michael J. An elliptic extension of the multinomial theorem. arXiv:2307.12921 Preprint, arXiv:2307.12921 [math.QA] (2023). MSC: 05A10 11B65 33D67 33D80 BibTeX Cite \textit{M. J. Schlosser}, ``An elliptic extension of the multinomial theorem'', Preprint, arXiv:2307.12921 [math.QA] (2023) Full Text: arXiv OA License
Hoshi, Natsuko; Katori, Makoto; Koornwinder, Tom H.; Schlosser, Michael J. On an identity of Chaundy and Bullard. III. Basic and elliptic extensions. arXiv:2304.10003 Preprint, arXiv:2304.10003 [math.CO] (2023). MSC: 05A19 05A10 05A30 05C22 05C81 11B65 33D15 33E05 BibTeX Cite \textit{N. Hoshi} et al., ``On an identity of Chaundy and Bullard. III. Basic and elliptic extensions'', Preprint, arXiv:2304.10003 [math.CO] (2023) Full Text: arXiv OA License
Küstner, Josef; Schlosser, Michael J.; Yoo, Meesue Lattice paths and negatively indexed weight-dependent binomial coefficients. (English) Zbl 1515.05017 Sémin. Lothar. Comb. 86B, Article 76, 12 p. (2022). MSC: 05A10 11B65 11B73 PDFBibTeX XMLCite \textit{J. Küstner} et al., Sémin. Lothar. Comb. 86B, Article 76, 12 p. (2022; Zbl 1515.05017) Full Text: arXiv Link
Guo, Victor J. W.; Schlosser, Michael J. A family of \(q\)-supercongruences modulo the cube of a cyclotomic polynomial. (English) Zbl 1501.11003 Bull. Aust. Math. Soc. 105, No. 2, 296-302 (2022). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11C08 33D15 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Bull. Aust. Math. Soc. 105, No. 2, 296--302 (2022; Zbl 1501.11003) Full Text: DOI
Guo, Victor J. W.; Schlosser, Michael J. Some \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial. (English) Zbl 1483.33010 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 132, 9 p. (2021). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 132, 9 p. (2021; Zbl 1483.33010) Full Text: DOI arXiv
Schlosser, Michael J.; Senapati, Koushik; Uncu, Ali K. Log-concavity results for a biparametric and an elliptic extension of the \(q\)-binomial coefficients. (English) Zbl 1465.05019 Int. J. Number Theory 17, No. 3, 787-804 (2021). MSC: 05A30 05A10 05A20 11F27 26D20 33E05 11B65 PDFBibTeX XMLCite \textit{M. J. Schlosser} et al., Int. J. Number Theory 17, No. 3, 787--804 (2021; Zbl 1465.05019) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. (English) Zbl 1462.33006 Constr. Approx. 53, No. 1, 155-200 (2021). Reviewer: Enzo Bonacci (Latina) MSC: 33D15 05A10 05A30 11A07 11F33 33D45 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Constr. Approx. 53, No. 1, 155--200 (2021; Zbl 1462.33006) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. A family of \(q\)-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial. (English) Zbl 1483.11001 Isr. J. Math. 240, No. 2, 821-835 (2020). Reviewer: Vijay Yadav (Virar) MSC: 11A07 33D05 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Isr. J. Math. 240, No. 2, 821--835 (2020; Zbl 1483.11001) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. A new family of \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial. (English) Zbl 1469.11032 Result. Math. 75, No. 4, Paper No. 155, 12 p. (2020). MSC: 11B65 11A07 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Result. Math. 75, No. 4, Paper No. 155, 12 p. (2020; Zbl 1469.11032) Full Text: DOI
Schlosser, Michael J.; Yoo, Meesue Elliptic rook and file numbers. (English. French summary) Zbl 1440.05029 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 1087-1098 (2020). MSC: 05A15 05B05 05A05 11B73 05C70 PDFBibTeX XMLCite \textit{M. J. Schlosser} and \textit{M. Yoo}, in: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4--8, 2016. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 1087--1098 (2020; Zbl 1440.05029) Full Text: Link
Guo, Victor J. W.; Schlosser, Michael J. Some new \(q\)-congruences for truncated basic hypergeometric series: even powers. (English) Zbl 1442.33007 Result. Math. 75, No. 1, Paper No. 1, 15 p. (2020). Reviewer: M. P. Chaudhary (New Delhi) MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Result. Math. 75, No. 1, Paper No. 1, 15 p. (2020; Zbl 1442.33007) Full Text: DOI arXiv
Schlosser, Michael J.; Yoo, Meesue Elliptic solutions of dynamical Lucas sequences. arXiv:2012.15794 Preprint, arXiv:2012.15794 [math.CO] (2020). MSC: 05A30 05E15 11B39 39A13 39A23 BibTeX Cite \textit{M. J. Schlosser} and \textit{M. Yoo}, ``Elliptic solutions of dynamical Lucas sequences'', Preprint, arXiv:2012.15794 [math.CO] (2020) Full Text: DOI arXiv OA License
Bhatnagar, Gaurav; Schlosser, Michael J. A partial theta function Borwein conjecture. (English) Zbl 1431.11031 Ann. Comb. 23, No. 3-4, 561-572 (2019). MSC: 11B65 05A20 11B83 33D52 PDFBibTeX XMLCite \textit{G. Bhatnagar} and \textit{M. J. Schlosser}, Ann. Comb. 23, No. 3--4, 561--572 (2019; Zbl 1431.11031) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial. (English) Zbl 1426.33048 J. Difference Equ. Appl. 25, No. 7, 921-929 (2019). MSC: 33D15 11A07 11F33 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, J. Difference Equ. Appl. 25, No. 7, 921--929 (2019; Zbl 1426.33048) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. Some new \(q\)-congruences for truncated basic hypergeometric series. (English) Zbl 1416.11010 Symmetry 11, No. 2, Paper No. 268, 12 p. (2019). MSC: 11A07 11F33 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Symmetry 11, No. 2, Paper No. 268, 12 p. (2019; Zbl 1416.11010) Full Text: DOI arXiv
Berkovich, Alex; Chan, Heng Huat; Schlosser, Michael J. Wronskians of theta functions and series for \(1/\pi\). (English) Zbl 1452.11044 Adv. Math. 338, 266-304 (2018). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 11F11 11F20 11F27 11Y60 PDFBibTeX XMLCite \textit{A. Berkovich} et al., Adv. Math. 338, 266--304 (2018; Zbl 1452.11044) Full Text: DOI arXiv
Garvan, Frank; Schlosser, Michael J. Combinatorial interpretations of Ramanujan’s tau function. (English) Zbl 1393.05061 Discrete Math. 341, No. 10, 2831-2840 (2018). MSC: 05A30 05A17 11P81 11A07 PDFBibTeX XMLCite \textit{F. Garvan} and \textit{M. J. Schlosser}, Discrete Math. 341, No. 10, 2831--2840 (2018; Zbl 1393.05061) Full Text: DOI arXiv
Schlosser, Michael J.; Yoo, Meesue Elliptic extensions of the alpha-parameter model and the rook model for matchings. (English) Zbl 1352.05017 Adv. Appl. Math. 84, 8-33 (2017). MSC: 05A15 05A19 05A30 11B65 11B73 11B83 PDFBibTeX XMLCite \textit{M. J. Schlosser} and \textit{M. Yoo}, Adv. Appl. Math. 84, 8--33 (2017; Zbl 1352.05017) Full Text: DOI arXiv
Kereskényiné Balogh, Zsófia R.; Schlosser, Michael J. \(q\)-Stirling numbers of the second kind and \(q\)-Bell numbers for graphs. (English) Zbl 1356.05109 de Mier, Anna (ed.) et al., Discrete mathematical days. Extended abstracts of the 10th “Jornadas de matemática discreta y algorítmica” (JMDA), Barcelona, Spain, July 6–8, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 54, 361-366 (2016). MSC: 05C70 05C30 11B73 05A30 PDFBibTeX XMLCite \textit{Z. R. Kereskényiné Balogh} and \textit{M. J. Schlosser}, Electron. Notes Discrete Math. 54, 361--366 (2016; Zbl 1356.05109) Full Text: DOI
Baruah, Nayandeep Deka (ed.); Berndt, Bruce C. (ed.); Cooper, Shaun (ed.); Huber, Tim (ed.); Schlosser, Michael J. (ed.) Ramanujan rediscovered. Proceedings of a conference on elliptic functions, partitions, and \(q\)-series in memory of K. Venkatachaliengar, Bangalore, India, June 1–5, 2009. (English) Zbl 1214.00020 Ramanujan Mathematical Society Lecture Notes Series 14. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-06-9/hbk). xlii, 199 p. (2010). MSC: 00B25 00B30 05-06 11-06 33-06 05Axx 33Dxx PDFBibTeX XMLCite \textit{N. D. Baruah} (ed.) et al., Ramanujan rediscovered. Proceedings of a conference on elliptic functions, partitions, and \(q\)-series in memory of K. Venkatachaliengar, Bangalore, India, June 1--5, 2009. Mysore: Ramanujan Mathematical Society (2010; Zbl 1214.00020)
Schlosser, Michael Abel-Rothe type generalizations of Jacobi’s triple product identity. (English) Zbl 1219.33020 Ismail, Mourad E. H. (ed.) et al., Theory and applications of special functions. A volume dedicated to Mizan Rahman. Papers from the special session of the American Mathematical Society annual meeting held in Baltimore, MD, USA, January 15–18, 2003. New York, NY: Springer (ISBN 0-387-24231-7). Developments in Mathematics 13, 383-400 (2005). MSC: 33D15 33D67 11B65 PDFBibTeX XMLCite \textit{M. Schlosser}, Dev. Math. 13, 383--400 (2005; Zbl 1219.33020) Full Text: DOI arXiv
Rosengren, Hjalmar; Schlosser, Michael On Warnaar’s elliptic matrix inversion and Karlsson–Minton-type elliptic hypergeometric series. (English) Zbl 1065.33014 J. Comput. Appl. Math. 178, No. 1-2, 377-391 (2005). MSC: 33E05 11F50 15A09 33D15 PDFBibTeX XMLCite \textit{H. Rosengren} and \textit{M. Schlosser}, J. Comput. Appl. Math. 178, No. 1--2, 377--391 (2005; Zbl 1065.33014) Full Text: DOI arXiv
Schlosser, Michael A new multidimensional matrix inversion in \(A_r\). (English) Zbl 0954.33007 Ismail, Mourad E. H. (ed.) et al., \(q\)-series from a contemporary perspective. AMS-IMS-SIAM joint summer research conference on \(q\)-series, combinatorics, and computer algebra, South Hadley, MA, USA, June 21-25, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 254, 413-432 (2000). Reviewer: David M.Bressoud (Saint Paul) MSC: 33D70 15A09 11B65 PDFBibTeX XMLCite \textit{M. Schlosser}, Contemp. Math. 254, 413--432 (2000; Zbl 0954.33007)
Krattenthaler, Christian; Schlosser, Michael A new multidimensional matrix inverse with applications to multiple \(q\)-series. (English) Zbl 0936.33011 Discrete Math. 204, No. 1-3, 249-279 (1999). Reviewer: Wolfram Koepf (Leipzig) MSC: 33D70 05A19 05A30 11B65 15A09 33C70 33D15 PDFBibTeX XMLCite \textit{C. Krattenthaler} and \textit{M. Schlosser}, Discrete Math. 204, No. 1--3, 249--279 (1999; Zbl 0936.33011) Full Text: DOI
Schlosser, Michael Multidimensional matrix inversions and \(A_r\) and \(D_r\) basic hypergeometric series. (English) Zbl 0934.33006 Ramanujan J. 1, No. 3, 243-274 (1997). Reviewer: Ch.Krattenthaler (Wien) MSC: 33C10 05A30 11B65 33C70 33D65 PDFBibTeX XMLCite \textit{M. Schlosser}, Ramanujan J. 1, No. 3, 243--274 (1997; Zbl 0934.33006) Full Text: DOI