Mahatab, KamalakshyaKamalakshyaMahatabPa?kowski, ?ukasz?ukaszPa?kowskiVatwani, AkshaaAkshaaVatwani2025-08-282025-08-282020-01-01http://arxiv.org/abs/2001.09274http://repository.iitgn.ac.in/handle/IITG2025/20059We consider L-functions L1,�,Lk from the Selberg class which have polynomial Euler product and satisfy Selberg's orthonormality condition. We show that on every vertical line s=?+it with ??(1/2,1), these L-functions simultaneously take large values of size exp(c(logt)1??loglogt) inside a small neighborhood.en-USNumber Theory (math.NT)e-Printe-Print123456789/555