On ranks of partitions and congruences of special functions

This thesis focuses on the rank statistic of partition functions, congruences and relating identities of special functions such as Appell-Lerch sums and partition pairs. Most results in Chapter 2, 3, 4, 5 are reproduced from [58], [59], [25], [24], respectively. F. J. Dyson conjectured that the rank...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoir: Mao, Renrong
Rannpháirtithe: Chan Song Heng
Formáid: Tráchtas
Teanga:English
Foilsithe / Cruthaithe: 2014
Ábhair:
Rochtain ar líne:https://hdl.handle.net/10356/55294