From partition identities to a combinatorial approach to explicit satake inversion

HEEKYOUNG HAHN, JISUN HUH, EUNSUNG LIM, JAEBUM SOHN

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we provide combinatorial proofs for certain partition identities which arise naturally in the context of Langlands' beyond endoscopy proposal. These partition identities motivate an explicit plethysm expansion of SymjpSymkV q for GL2 in the case k " 3. We compute the plethysm explicitly for the cases k " 3, 4. Moreover, we use these expansions to explicitly compute the basic function attached to the symmetric power L-function of GL2 for these two cases.

MSC Codes Primary 11P84, 11S40, Secondary 05E05, 05E10

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Jun 9

All Science Journal Classification (ASJC) codes

  • General

Fingerprint Dive into the research topics of 'From partition identities to a combinatorial approach to explicit satake inversion'. Together they form a unique fingerprint.

Cite this