assiganga stream is an important tributary of bhagirathi river in central himalaya (india). the stream is characterized by heterogeneity in habitat and substratum features harboring diverse fish fauna. at present this stream is facing threat of being fragmented by the construction of two hydro-electric projects. present study aimed to study fish diversity and their habitat use in assiganga stre...

S\'ark\"ozy's theorem states that dense sets of integers must contain two elements whose difference is a $k^{th}$ power. Following the polynomial method breakthrough Croot, Lev, and Pach, Green proved strong quantitative version this result for $\mathbb{F}_{q}[T]$. In paper we provide lower bound S\'{a}rk\"{o}zy's in function fields by adapting Ruzsa's construction analogous problem $\mathbb{Z}...