7 citations · 17 across the 10 of their papers we have counts for
12 papers
Digit permutations revisited
David Goss
We discuss here characteristic -series as well as the group which appears to act as symmetries of these functions. We explain various actions of that ari…
Polynomials of Binomial Type and Lucas' Theorem
David Goss
We present various constructions of sequences of polynomials satisfying the Binomial Theorem in finite characteristic based on the theory of additive polynomials. Various actions o…
A construction of -adic modular forms
David Goss
The classical theory of -adic (elliptic) modular forms arose in the 1970's from the work of J.-P.\ Serre \cite{se1} who took -adic limits of the -expansions of these forms…
A local field approach to the Riemann Hypothesis
David Goss
Since the seminal work of Wan, Poonen, and Sheats in the 1990's, we have been searching for the correct general statement of the Riemann Hypothesis ("RH") which appears implicit in…
On the -series of F. Pellarin
David Goss
The calculation, by L.\ Euler, of the values at positive even integers of the Riemann zeta function, in terms of powers of and rational numbers, was a watershed event in the hi…
The Ongoing Binomial Revolution
David Goss
The Binomial Theorem has long been essential in mathematics. In one form or another it was known to the ancients and, in the hands of Leibniz, Newton, Euler, Galois, and others, it…