%% 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) @book {And, AUTHOR = {Andrews, George E.}, TITLE = {The theory of partitions}, SERIES = {Cambridge Mathematical Library}, NOTE = {Reprint of the 1976 original}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {1998}, PAGES = {xvi+255} } @article {AndrewsBeck, AUTHOR = {Andrews, George E.}, TITLE = {Euler's partition identity and two problems of {G}eorge {B}eck}, JOURNAL = {Math. Student}, FJOURNAL = {The Mathematics Student}, VOLUME = {86}, YEAR = {2017}, NUMBER = {1-2}, PAGES = {115--119} } @misc {BBCFW, AUTHOR = {Ballantine, Cristina and Burson, Hannah and Craig, William and Folsom, Amanda and Wen, Boya}, title={Hook length biases and general linear partition inequalities}, year={2023}, eprint={2303.16512}, archivePrefix={arXiv}, primaryClass={math.CO} } @article {BeckwithBessenrodt, AUTHOR = {Beckwith, Olivia and Bessenrodt, Christine}, TITLE = {Multiplicative properties of the number of {$k$}-regular partitions}, JOURNAL = {Ann. Comb.}, FJOURNAL = {Annals of Combinatorics}, VOLUME = {20}, YEAR = {2016}, NUMBER = {2}, PAGES = {231--250} } @article {Corteel, AUTHOR = {Corteel, Sylvie and Lovejoy, Jeremy}, TITLE = {Overpartitions}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {356}, YEAR = {2004}, NUMBER = {4}, PAGES = {1623--1635} } @incollection {ENS, AUTHOR = {Erd\H{o}s, P. and Nicolas, J.-L. and Szalay, M.}, TITLE = {Partitions into parts which are unequal and large}, BOOKTITLE = {Number theory ({U}lm, 1987)}, SERIES = {Lecture Notes in Math.}, VOLUME = {1380}, PAGES = {19--30}, PUBLISHER = {Springer, New York}, YEAR = {1989} } @article {Glaisher, AUTHOR = {Glaisher, James Whitbread Lee}, TITLE = {A theorem in partitions}, JOURNAL = {Messenger of Math.}, VOLUME = {12}, YEAR = {1883}, PAGES = {158--170} } @article {Hagis2, AUTHOR = {Hagis, Jr., Peter}, TITLE = {Partitions into odd summands}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {85}, YEAR = {1963}, PAGES = {213--222} } @article {Han, AUTHOR = {Han, Guo-Niu}, TITLE = {The {N}ekrasov-{O}kounkov hook length formula: refinement, elementary proof, extension and applications}, JOURNAL = {Ann. Inst. Fourier (Grenoble)}, FJOURNAL = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier}, VOLUME = {60}, YEAR = {2010}, NUMBER = {1}, PAGES = {1--29} } @incollection {hx1, AUTHOR = {Han, Guo-Niu and Xiong, Huan}, TITLE = {New hook-content formulas for strict partitions}, BOOKTITLE = {28th {I}nternational {C}onference on {F}ormal {P}ower {S}eries and {A}lgebraic {C}ombinatorics ({FPSAC} 2016)}, SERIES = {Discrete Math. Theor. Comput. Sci. Proc., BC}, PAGES = {635--645}, YEAR = {2016} } @article {hx2, AUTHOR = {Han, Guo-Niu and Xiong, Huan}, TITLE = {New hook-content formulas for strict partitions}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {45}, YEAR = {2017}, NUMBER = {4}, PAGES = {1001--1019} } @article {matsumoto, AUTHOR = {Matsumoto, Sho and \'{S}niady, Piotr}, TITLE = {Random strict partitions and random shifted tableaux}, JOURNAL = {Selecta Math. (N.S.)}, FJOURNAL = {Selecta Mathematica. New Series}, VOLUME = {26}, YEAR = {2020}, NUMBER = {1}, PAGES = {Paper No. 10, 59} } @book {Olver, AUTHOR = {Olver, Frank W. J.}, TITLE = {Asymptotics and special functions}, SERIES = {AKP Classics}, NOTE = {Reprint of the 1974 original [Academic Press, New York]}, PUBLISHER = {A K Peters Ltd., Wellesley, MA}, YEAR = {1997}, PAGES = {xviii+572} } @article{RademacherExact, author = {Rademacher, Hans}, title = {On the Partition Function p(n)}, journal = {Proceedings of the London Mathematical Society}, volume = {s2-43}, number = {1}, pages = {241-254}, year = {1938} } @article {schur, AUTHOR = {Schur, J.}, TITLE = {\"{U}ber die {D}arstellung der symmetrischen und der alternierenden {G}ruppe durch gebrochene lineare {S}ubstitutionen}, JOURNAL = {J. Reine Angew. Math.}, FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's Journal]}, VOLUME = {139}, YEAR = {1911}, PAGES = {155--250} } @book {stanley, AUTHOR = {Stanley, Richard P.}, TITLE = {Enumerative combinatorics. {V}ol. 2}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {62}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {1999}, PAGES = {xii+581} } @MISC{OEISBeckConj, author = {{OEIS Foundation}}, title = {{Entry A265251 in The On-Line Encyclopedia of Integer Sequences}}, url = "http://oeis.org/A265251", year ={2017}, }