Results 11 to 12 of about 12 (12)

Twist‐minimal trace formulas and the Selberg eigenvalue conjecture

Journal of the London Mathematical Society, Volume 102, Issue 3, Page 1067-1134, December 2020., 2020
Abstract We derive a fully explicit version of the Selberg trace formula for twist‐minimal Maass forms of weight 0 and arbitrary conductor and nebentypus character, and apply it to prove two theorems. First, conditional on Artin's conjecture, we classify the even 2‐dimensional Artin representations of small conductor; in particular, we show that the ...
Andrew R. Booker, Min Lee, Andreas Strömbergsson   +2 more
wiley   +1 more source

On a variation of the Erdős–Selfridge superelliptic curve

Bulletin of the London Mathematical Society, Volume 51, Issue 4, Page 633-638, August 2019., 2019
Abstract In a recent paper by Das, Laishram and Saradha, it was shown that if there exists a rational solution of yl=(x+1)…(x+i−1)(x+i+1)…(x+k) for i not too close to k/2 and y≠0, then logl<3k. In this paper, we extend the number of terms that can be missing in the equation and remove the condition on i.
Sam Edis
wiley   +1 more source