7 citations · 14 across the 6 of their papers we have counts for
7 papers
On -adic incomplete Mellin transforms and -adic incomplete gamma-functions
Paul Buckingham
Let be a non-zero rational number. In a paper in the Transactions of the AMS in 2023, O'Desky and Richman gave a construction of a -adic incomplete gamma-function $Γ_p(\cdot…
Factorial-Type Recurrence Relations and -adic Incomplete Gamma Functions
Paul Buckingham
We introduce an automorphism of the space of continuous functions and show that it can be used…
Connecting homomorphisms associated to Tate sequences
Paul Buckingham
Tate sequences are an important tool for tackling problems related to the (ill-understood) Galois structure of groups of -units. The relatively recent Tate sequence "for small $…
The fractional Galois ideal for arbitrary order of vanishing
Paul Buckingham
We propose a candidate, which we call the fractional Galois ideal after Snaith's fractional ideal, for replacing the classical Stickelberger ideal associated to an abelian extensio…
The canonical fractional Galois ideal at s=0
Paul Buckingham
The Stickelberger elements attached to an abelian extension of number fields conjecturally participate, under certain conditions, in annihilator relations involving higher algebrai…
Functoriality of the canonical fractional Galois ideal
Paul Buckingham, Victor Snaith
The fractional Galois ideal of [Victor P. Snaith, Stark's conjecture and new Stickelberger phenomena, Canad. J. Math. 58 (2) (2006) 419--448] is a conjectural improvement on the hi…