Zobrazeno 1 - 10
of 153
pro vyhledávání: '"Ionescu, Lucian"'
Autor:
Ionescu, Lucian M.
Publikováno v:
Journal of Advances in Applied Mathematics, Vol. 2, No. 4, October 2017
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 Riemann zeta function zeros suggests some new goals and aspects to be st
Externí odkaz:
http://arxiv.org/abs/2204.00899
Autor:
Ionescu, Lucian M.
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 framework of algebraic numbers.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2105.13115
Autor:
Ionescu, Lucian M.
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 the image of the primes under the Cramer characters $X_p(t)=p^{it}$.
Externí odkaz:
http://arxiv.org/abs/1903.09318
Autor:
Ionescu, Lucian M.
Complex periods are algebraic integrals over complex algebraic domains, also appearing as Feynman integrals and multiple zeta values. The Grothendieck-de Rham period isomorphisms for p-adic algebraic varieties defined via Monski-Washnitzer cohomology
Externí odkaz:
http://arxiv.org/abs/1806.08726
Autor:
Ionescu, Lucian M.
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 \cite{Buium-Main}. In this way "numbers {\em are} functions", as recognize
Externí odkaz:
http://arxiv.org/abs/1801.07570
Autor:
Ionescu, Lucian M., Zarrin, Mina M.
Publikováno v:
Advances in Pure Mathematics Vol.07 No.09(2017), Article ID:78683,16 pages
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 numbers, in order to make them accessible and interesting to a much larg
Externí odkaz:
http://arxiv.org/abs/1708.09302
Autor:
Ionescu, Lucian M., Sumitro, Richard
Periods are numbers represented as integrals of rational functions over algebraic domains. A survey of their elementary properties is provided. Examples of periods includes Feynman Integrals from Quantum Physics and Multiple Zeta Values from Number T
Externí odkaz:
http://arxiv.org/abs/1708.09277
Autor:
Baraliakos, Xenofon, de Jongh, Jerney, Poddubnyy, Denis, Zwezerijnen, Gerben J. C., Hemke, Robert, Glatt, Sophie, Shaw, Stevan, Ionescu, Lucian, el Baghdady, Assem, Mann, Joanne, Maguire, Ralph Paul, Vaux, Tom, de Peyrecave, Natasha, Oortgiesen, Marga, Baeten, Dominique, van der Laken, Conny
Publikováno v:
Therapeutic Advances in Musculoskeletal Disease; 11/28/2024, p1-18, 18p
Autor:
Ionescu, Lucian M.
A natural partial order on the set of prime numbers was derived by the author from the internal symmetries of the primary finite fields, independently of Ford a.a., who investigated Pratt trees for primality tests. It leads to a correspondence with t
Externí odkaz:
http://arxiv.org/abs/1407.6659
Autor:
Ionescu, Lucian M
Quantum Relativity is supposed to be a new theory, which locally is a deformation of Special Relativity, and globally it is a background independent theory including the main ideas of General Relativity, with hindsight from Quantum Theory. The qubit
Externí odkaz:
http://arxiv.org/abs/1005.3993