On Some Partition Functions Related to Some Mock Theta Functions
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 1, pp. 1-8
We show that some partitions related to two of Ramanujan's mock
theta functions are related to indefinite quadratic forms and real
quadratic fields. In particular, we examine a third order mock theta
function and a fifth order mock theta function.
Keywords:
partitions related ramanujans mock theta functions related indefinite quadratic forms real quadratic fields particular examine third order mock theta function fifth order mock theta function
Affiliations des auteurs :
Alexander E. Patkowski  1
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author = {Alexander E. Patkowski},
title = {On {Some} {Partition} {Functions} {Related} to {Some} {Mock} {Theta} {Functions}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {1--8},
year = {2009},
volume = {57},
number = {1},
doi = {10.4064/ba57-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba57-1-1/}
}
TY - JOUR AU - Alexander E. Patkowski TI - On Some Partition Functions Related to Some Mock Theta Functions JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2009 SP - 1 EP - 8 VL - 57 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ba57-1-1/ DO - 10.4064/ba57-1-1 LA - en ID - 10_4064_ba57_1_1 ER -
%0 Journal Article %A Alexander E. Patkowski %T On Some Partition Functions Related to Some Mock Theta Functions %J Bulletin of the Polish Academy of Sciences. Mathematics %D 2009 %P 1-8 %V 57 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4064/ba57-1-1/ %R 10.4064/ba57-1-1 %G en %F 10_4064_ba57_1_1
Alexander E. Patkowski. On Some Partition Functions Related to Some Mock Theta Functions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 1, pp. 1-8. doi: 10.4064/ba57-1-1
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