Zobrazeno 1 - 10
of 551
pro vyhledávání: '"Stoica, Bogdan A"'
We prove an explicit integral formula for computing the product of two shifted Riemann zeta functions everywhere in the complex plane. We show that this formula implies the existence of infinite families of exact exponential sum identities involving
Externí odkaz:
http://arxiv.org/abs/2311.07657
We investigate the properties of a family of approximations of the Hasse-Weil $L$-function associated to an elliptic curve $E$ over $\mathbb{Q}$. We give a precise expression for the error of the approximations, and provide a visual interpretation of
Externí odkaz:
http://arxiv.org/abs/2311.07641
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 February 2025 542(2)
We consider a deformation of the two-dimensional free scalar field theory by raising the Laplacian to a positive real power. It turns out that the resulting non-local generalized free action is invariant under two commuting actions of the global conf
Externí odkaz:
http://arxiv.org/abs/2202.01217
Dynamic program slicing can significantly reduce the code developers need to inspect by narrowing it down to only a subset of relevant program statements. However, despite an extensive body of research showing its usefulness, dynamic slicing is still
Externí odkaz:
http://arxiv.org/abs/2201.00060
Autor:
Stoica, Bogdan
We propose a number system covariance principle between $p$-adic and Archimedean frameworks. We use it to derive several closed-form expressions for the five-point open string tachyon scattering amplitude.
Comment: 6 pages, ancillary Mathematica
Comment: 6 pages, ancillary Mathematica
Externí odkaz:
http://arxiv.org/abs/2111.02423
We consider a $p2$-brane model as a theory of maps from the vertices of the Bruhat-Tits tree times $\mathbb{Z}$ into $\mathbb{R}^d$. We show that in order for the worldsheet time evolution to be unitary, a certain spectral parameter of the model must
Externí odkaz:
http://arxiv.org/abs/2110.15378
This is a preliminary study of the equation of motion of Euclidean classical gravity on a graph, based on the Lin-Lu-Yau Ricci curvature on graphs. We observe that the constant edge weights configuration gives the unique solution on an infinite tree
Externí odkaz:
http://arxiv.org/abs/2006.06716
We introduce the $p$-adic particle-in-a-box as a free particle with periodic boundary conditions in the $p$-adic spatial domain. We compute its energy spectrum, and show that the spectrum of the Archimedean particle-in-a-box can be recovered from the
Externí odkaz:
http://arxiv.org/abs/2001.01725
Given a number field $K$ with a Hecke character $\chi$, for each place $\nu$ we study the free scalar field theory whose kinetic term is given by the regularized Vladimirov derivative associated to the local component of $\chi$. These theories appear
Externí odkaz:
http://arxiv.org/abs/2001.01721