2 citations · 2 across the 5 of their papers we have counts for
4 papers · 1 filter
Algebras of -Adic Distributions Induced by Pointwise Products of F-Series
Maxwell C. Siegel
Let be an integer and let be a global field. A foliated -adic F-series is a function of a -adic integer variable satisfying the functional…
-adic Analysis and the Collatz Conjecture
Maxwell Charles Siegel
What use can there be for a function from the -adic numbers to the -adic numbers, where and are distinct primes? The traditional answer, courtesy of the half-century…
Infinite Series Whose Topology of Convergence Varies From Point to Point
Maxwell C. Siegel
This paper catalogues a variety of examples concerning a type of function of a -adic integer variable defined by a formal series expression we have dubbed "-series"…
Conservation of Singularities in Functional Equations Associated to Collatz-Type Dynamical Systems; or, Dreamcatchers for Hydra Maps
Maxwell Charles Siegel
It is known that the Collatz Conjecture (and the study of similar maps, here called "Hydra maps") can be stated in terms of solution sets of functional equations; or, equivalently,…