On Some Partition Functions Related to Some Mock Theta Functions

Alexander E. Patkowski

Bulletin of the Polish Academy of Sciences. Mathematics (2009)

  • Volume: 57, Issue: 1, page 1-8
  • ISSN: 0239-7269

Abstract

top
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.

How to cite

top

Alexander E. Patkowski. "On Some Partition Functions Related to Some Mock Theta Functions." Bulletin of the Polish Academy of Sciences. Mathematics 57.1 (2009): 1-8. <http://eudml.org/doc/281290>.

@article{AlexanderE2009,
abstract = {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.},
author = {Alexander E. Patkowski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {-series; partitions; mock theta functions},
language = {eng},
number = {1},
pages = {1-8},
title = {On Some Partition Functions Related to Some Mock Theta Functions},
url = {http://eudml.org/doc/281290},
volume = {57},
year = {2009},
}

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
VL - 57
IS - 1
SP - 1
EP - 8
AB - 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.
LA - eng
KW - -series; partitions; mock theta functions
UR - http://eudml.org/doc/281290
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.