比利时vs摩洛哥足彩
,
university of california san diego
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math 209 - number theory
dorian goldfeld
columbia university
a standard zero free region for rankin-selberg l-functions on gl(n)
abstract:
for $n > 1$, let $\pi, \pi'$ be two irreducible cuspidal automorphic representations of gl(n, a) where a denotes the adeles over q. let $l(s, \pi \times \pi')$ be the rankin-selberg l-function. if one of $\pi$ or $\pi'$ is self dual then it was shown by moreno and sarnak that the rankin-selberg l-function does not vanish at s = c+it when 1-c is less than a positive fixed constant times a negative power of log(|t| +2). this is also called a standard zero free region. a standard zero free region for the riemann zeta function was first obtained by de la vallee poussin (prime number theorem). currently, the best known zero free region for rankin selberg l-functions on gl(n) (in the non self dual case) is due to brumley who has proved 1-c is less than a fixed constant times a negative power of |t| +2. in joint work with xiaoqing li we obtain a standard zero free region in the non self dual case.
host: alina bucur
november 6, 2014
1:00 pm
ap&m 7321
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