@article {FS, AUTHOR = {Formichella, S. and Straub, A.}, TITLE = {Gaussian binomial coefficients with negative arguments}, JOURNAL = {Ann. Comb.}, FJOURNAL = {Annals of Combinatorics}, VOLUME = {23}, YEAR = {2019}, NUMBER = {3-4}, PAGES = {725--748}, } @article {L, AUTHOR = {Loeb, D. E.}, TITLE = {Sets with a negative number of elements}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {91}, YEAR = {1992}, NUMBER = {1}, PAGES = {64--74}, } @article {Schl1, AUTHOR = {Schlosser, M. J.}, TITLE = {A noncommutative weight-dependent generalization of the binomial theorem}, JOURNAL = {S\'{e}m. Lothar. Combin.}, FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire}, VOLUME = {81}, YEAR = {2020}, PAGES = {Art. B81j, 24} } @article {Schl0, AUTHOR = {Schlosser, M. J.}, TITLE = {Elliptic enumeration of nonintersecting lattice paths}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {114}, YEAR = {2007}, NUMBER = {3}, PAGES = {505--521}, }, @article {SY, AUTHOR = {Schlosser, M. J. and Yoo, M.}, TITLE = {Elliptic solutions of dynamical {L}ucas sequences}, JOURNAL = {Entropy}, FJOURNAL = {Entropy. An International and Interdisciplinary Journal of Entropy and Information Studies}, VOLUME = {23}, YEAR = {2021}, NUMBER = {2}, PAGES = {Paper No. 183, 14} }, @misc{KSY, AUTHOR = {K\"ustner, J. and Schlosser, M. J. and Yoo, M.}, TITLE = {Lattice paths and negatively indexed weight-dependent binomial coefficients}, EPRINT = {2204.05505}, EPRINTTYPE = {arxiv}, YEAR = {2022} }, @article {DAL, AUTHOR = {Damiani, E. and D'Antona, O. M. and Loeb, D. E.}, TITLE = {The complementary symmetric functions: connection constants using negative sets}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {135}, YEAR = {1998}, NUMBER = {2}, PAGES = {207--219} } @book {Sa, AUTHOR = {Sagan, B. E.}, TITLE = {The symmetric group}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {203}, EDITION = {Second}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {2001}, PAGES = {xvi+238} }, @book {Web, AUTHOR = {Weber, H.}, TITLE = {Elliptische {F}unctionen und algebraische {Z}ahlen}, PUBLISHER = {Vieweg-Verlag, Braunschweig}, YEAR = {1891}, }, @incollection{Ros, AUTHOR = {Rosengren, H.}, TITLE = {Elliptic Hypergeometric Functions}, EDITOR = {Cohl, Howard S. and Ismail, Mourad E. H.}, BOOKTITLE = {Lectures on Orthogonal Polynomials and Special Functions}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {2020}, PAGES = {213--279} }, @incollection{FT, AUTHOR = {Frenkel, I. B. and Turaev, V. G.}, TITLE = {Elliptic solutions of the {Y}ang--{B}axter equation and modular hypergeometric functions}, BOOKTITLE = {The {A}rnold--{G}elfand Mathematical Seminars}, PAGES = {171--204}, PUBLISHER = {Birkh\"{a}user Boston, Boston, MA}, YEAR = {1997} }