3 papers
math.CO2026
A Log-Log Saving for Matrix-Algebra Length and Terseness
Florian Ito Sprung
Let $\ell(\Mat_n(F))$ denote the length of the full matrix algebra for a field , i.e. the largest of the least word length needed to span $\Mat_n(F)$, over all generating sets $…
math.NT2023
Cotorsion of anti-cyclotomic Selmer groups on average
Debanjana Kundu, Florian Sprung
For an elliptic curve, we study how many Selmer groups are cotorsion over the anti-cyclotomic -extension as one varies the prime or the quadratic imaginary field…
math.NT2019
Consequences of functional equations for pairs of p-adic L-functions
Cédric Dion, Florian Ito Sprung
We prove consequences of functional equations of p-adic L-functions for elliptic curves at supersingular primes p. The results include a relationship between the leading and sub-le…