%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2016-09-24 13:54:23 -0600 %% Saved with string encoding Unicode (UTF-8) @article{AAB03, Author = {K. Alladi, G.E. Andrews and A. Berkovich}, Journal = {Invent. Math.}, Pages = {231--260}, Title = {A new four parameter $q$-series identity and its partitions implications}, Volume = {153}, Year = {2002}, doi = {10.1007/s00222-003-0285-8} } @article{AAG95, Author = {K. Alladi and G. E. Andrews and B. Gordon}, Journal = {J. Reine Angew. Math.}, Pages = {165--188}, Title = {Generalizations and refinements of a partition theorem of G\"ollnitz}, Volume = {460}, Year = {1995}, doi={10.1515/crll.1995.460.165} } @article{AG93, Author = {K. Alladi and B. Gordon}, Journal = {Manuscripta Math.}, Pages = {113--126}, Title = {Generalization of Schur's partition theorem}, Volume = {79}, Year = {1993}, doi={10.1007/BF02568332} } @article{AN68, Author = {G. E. Andrews}, Journal = {Acta Arith.}, Pages = {429--434}, Title = {A new generalization of Schur's second partition theorem}, Volume = {14}, Year = {1968}, doi={10.4064/aa-14-4-429-434} } @article{AN69, Author = {G. E. Andrews}, Journal = {J. Reine Angew. Math.}, Pages = {37--42}, Title = {On a partition theorem of G\"ollnitz and related formula}, Volume = {236}, Year = {1969}, doi={10.1515/crll.1969.236.37} } @article{BR80, Author = {D. Bressoud}, Journal = {Proc. Amer. Math. Soc.}, Pages = {338--340}, Title = {A combinatorial proof of Schur's 1926 partition theorem}, Volume = {79}, Year = {1980}, doi={10.1090/S0002-9939-1980-0565367-X}} @article{GO67, Author = {H. G\"ollnitz}, Journal = {J. Reine Angew. Math.}, Pages = {154--190}, Title = {Partitionen mit Differenzenbedingungen}, Volume = {226}, Year = {1967}, doi={10.1515/crll.1967.225.154}} @article{PRS04, Author = {Padmavathamma and M. Rudy Salestina and S.R. Sudarshan}, Journal = {Adv. Stud. Contemp. Math}, Pages = {47--54}, Number = {1}, Title = {Combinatorial proof of the G\"ollnitz's theorem on partitions}, Volume = {8}, Year = {2004}} @article{Sc26, Author = {I. Schur}, Journal = {Sitzungsberichte der Preussischen Akademie der Wissenschaften}, Pages = {488--495}, Title = {Zur additiven zahlentheorie}, Year = {1926}} @article{ZJ15, Author = {J. Y. J. Zhao}, Journal = {Electron. J. Combin.}, Number = {1}, Title = {A bijective proof of the Alladi-Andrews-Gordon partition theorem}, Volume = {22}, Year = {2015}, doi={10.37236/4561}} @misc{IK19, Author = {I. Konan}, Title = {Beyond G\"ollnitz' Theorem I: A Bijective Approach}, eprint= {1909.00364}, Year = {2019}} @misc{IK192, Author = {I. Konan}, Title = {Beyond G\"ollnitz' Theorem II: arbitrarily many primary colors}, note={Preprint.}, eprint = {1912.06702}, Year = {2019}}