Lithium abundances and asteroseismology of red giants: understanding the evolution of lithium in giants based on asteroseismic parameters

In this study, we explore the evolution of lithium in giant stars based on data assembled from literature asteroseismology and Li abundances for giants. Our final sample 187 giants consists 44 red branch (RGB), 140 core He-burning (CHeB) three with an unclassified evolutionary phase. For all stars, seismic parameters $\nu\rm_{max}$ (frequency maximum oscillation power) $\Delta \nu$ (large frequency spacing) are available, while \Pi\rm_{1}$ (the asymptotic gravity-mode period is available a subset 64. some CHeB giants, mass estimates asteroseismic scaling relations found to be underestimated when compared isochrones data. Whilst most Li-rich have masses less than 1.5 $M_\odot$, they also present up beyond expected suffered He-flash, i.e. $M$ $\leq$ 2.25 $M_\odot$: suggests contributions other processes towards enrichment. To understand $-$ plane, use {\it Modules Experiments Stellar Astrophysics} models which show presence mini He-flashes following initial strong He-flash. From distribution A(Li) as function \nu$, similar luminosity, find no indication enrichment near luminosity bump. Also, trends $\sim$ -1.5 dex RGB tip. The suggest decrease increase