In mathematics, the Langlands–Shahidi method provides the means to define automorphic L-functions in many cases that arise with connected reductive groups...

Phelan Langlands, CC FRS FRSC (/ˈlæŋləndz/; born October 6, 1936) is a Canadian mathematician. He is best known as the founder of the Langlands program...

the U.S. He is known for a method of automorphic L-functions which is now known as the Langlands–Shahidi method. Shahidi graduated from the University...

had been developed. The conjectures have evolved since Langlands first stated them. Langlands conjectures apply across many different groups over many...

Euler product of a particular L-function. In many situations the Langlands–Shahidi method gives complementary information. Standard L-function on GL(n) (Godement–Jacquet)...

result of Kim (2002) on the symmetric fourth obtained via the Langlands–Shahidi method. Generalizing the Kim-Sarnak bounds to an arbitrary number field...

their functional equation being first proved via the Langlands–Shahidi method. In general, the Langlands functoriality conjectures imply that automorphic...

by Freydoon Shahidi using the Langlands–Shahidi method. For a broader discussion, see Gelbart & Shahidi (1988). Zeta function Langlands, R.P. (1978)...

Nobel Laureate in Physics in 1965 Freydoon Shahidi – mathematician, a namesake of the Langlands–Shahidi method Shen Chun-shan – physicist, president of...

constructed by the Rankin–Selberg integral method were a subset of those constructed by the Langlands–Shahidi method, the 1992 paper by Rallis with Piatetski-Shapiro...

classical groups. Their automorphic descent method constructs an explicit inverse map to the (standard) Langlands functorial lift and has had major applications...