9 citations · 63 across the 28 of their papers we have counts for
30 papers
On Prime Numbers and The Riemann Zeros
Lucian M. Ionescu
The current research regarding the Riemann zeros suggests the existence of a non-trivial algebraic/analytic structure on the set of Riemann zeros. The duality between primes and Ri…
On Hodge Structures and Periods -- Part I: Algebraic Aspects
Lucian M. Ionescu
We review Hodge structures, relating filtrations, Galois Theory and Jordan-Holder structures. The prototypical case of periods of Riemann surfaces is compared with the Galois-Artin…
A note on the statistics of Riemann zeros
Lucian M. Ionescu
Evidence of an algebraic/analytic structure of the Riemann Spectrum, consisting of the imaginary parts of the corresponding zeros, is reviewed, with emphasis on the distribution of…
On periods: from global to local
Lucian M. Ionescu
Complex periods are algebraic integrals over complex algebraic domains, also appearing as Feynman integrals and multiple zeta values. The Grothendieck-de Rham period isomorphisms f…
On p-adic Frobenius lifts and p-adic periods, from a Deformation Theory viewpoint
Lucian M. Ionescu
Presenting p-adic numbers as {\em deformations} of finite fields allows a better understanding of Frobenius lifts and their connection with p-derivations in the sense of Buium \cit…
Lattice Models of Finite Fields
Lucian M. Ionescu, Mina M. Zarrin
Finite fields form an important chapter in abstract algebra, and mathematics in general. We aim to provide a geometric and intuitive model for finite fields, involving algebraic nu…