Journal
ALGEBRA & NUMBER THEORY
Volume 12, Issue 3, Pages 693-722Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/ant.2018.12.693
Keywords
linear recurrences in characteristic p; modular forms modulo p; congruences between modular forms; mod p Hecke algebras; p-regular sequences; base representation of numbers
Categories
Ask authors/readers for more resources
We prove that the killing rate of certain degree-lowering recursion operators on a polynomial algebra over a finite field grows slower than linearly in the degree of the polynomial attacked. We also explain the motivating application: obtaining a lower bound for the Krull dimension of a local component of a big mod p Hecke algebra in the genus-zero case. We sketch the application for p = 2 and p = 3 in level one. The case p = 2 was first established in by Nicolas and Serre in 2012 using different methods.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available