Results 11 to 20 of about 32 (32)

Heegner points in Coleman families

Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 124-152, January 2021., 2021
Abstract We construct two‐parameter analytic families of Galois cohomology classes interpolating the étale Abel–Jacobi images of generalised Heegner cycles, with both the modular form and Grössencharacter varying in p‐adic families.
Dimitar Jetchev, David Loeffler, Sarah Livia Zerbes   +2 more
wiley   +1 more source

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

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