The Collatz Conjecture & Non-Archimedean Spectral Theory - Part I - Arithmetic Dynamical Systems and Non-Archimedean Value Distribution Theory Maxwell C. Siegel Research Articles 06 May 2024 Pages: 143 - 199
On Wiener and Levy Type Theorems for System of Characters of the Ring of \(p\)-Adic Integers S. S. VolosivetsA. N. Mingachev Research Articles 06 May 2024 Pages: 136 - 142
Group Structure of the \(p\)-Adic Ball and Dynamical System of Isometry on a Sphere I. A. Sattarov Research Articles 06 May 2024 Pages: 128 - 135
On the Theory of Relativistic Brownian Motion E. A. KurianovichA. I. MikhailovI. V. Volovich Research Articles 06 May 2024 Pages: 113 - 127
On the Index of Certain Nonic Number Fields Defined by \(x^9+ax^5+b\) Omar Kchit Research Articles 06 May 2024 Pages: 95 - 112
Estimate for the Intrinsic Square Function on \(p\)-Adic Herz Spaces with Variable Exponent Mehvish SultanBabar Sultan Research Articles 12 February 2024 Pages: 82 - 93
Hyperstability of the General Linear Functional Equation in Non-Archimedean Banach Spaces Shujauddin ShujaAhmad F. EmbongNor M. M. Ali Research Articles 12 February 2024 Pages: 70 - 81
On Approximation by Tight Wavelet Frames on the Field of \(p\)-Adic Numbers S. F. LukomskiiA. M. Vodolazov Research Articles 12 February 2024 Pages: 60 - 69
Numerical Solutions of some Nonlinear Integral Equations Arising in the Theory of \(p\)-Adic Strings and Physical Kinetics Kh. A. KhachatryanA. Kh. KhachatryanA. Zh. Narimanyan Research Articles 12 February 2024 Pages: 43 - 59
Public-Key Cryptosystems and Signature Schemes from \(p\)-Adic Lattices Yingpu DengLixia LuoGuanju Xiao Research Articles 12 February 2024 Pages: 23 - 42
Results on the Growth of Meromorphic Solutions of some Functional Equations of Painlevé and Schröder Type in Ultrametric Fields Houda BoughabaSalih BouternikhTahar Zerzaihi Research Articles 12 February 2024 Pages: 14 - 22
Dynamical Systems of Möbius Transformation: Real, \(p\)-Adic and Complex Variables E. T. AlievU. A. Rozikov Research Articles 12 February 2024 Pages: 1 - 13
Number-Theory Renormalization of Vacuum Energy M. G. IvanovV. A. DudchenkoV. V. Naumov Research Articles 18 December 2023 Pages: 284 - 311
Constructions of Urysohn Universal Ultrametric Spaces Yoshito Ishiki Research Articles 18 December 2023 Pages: 266 - 283
Turing Patterns in a \(p\)-Adic FitzHugh-Nagumo System on the Unit Ball L. F. Chacón-CortésC. A. Garcia-BibianoW. A. Zúñiga-Galindo Research Articles 18 December 2023 Pages: 245 - 265
On the Occasion of the Centenary of the Birth of V. S. Vladimirov (1923–2012) B. DragovichA. Yu. KhrennikovI. V. Volovich Research Articles 05 November 2023 Pages: 243 - 244
Analysis on Ultra-Metric Spaces via Heat Kernels Alexander Grigor’yan Research Articles 05 November 2023 Pages: 204 - 242
Coherent States of the \(p\)-Adic Heisenberg Group and Entropic Uncertainty Relations Evgeny Zelenov Research Articles 05 November 2023 Pages: 195 - 203
Modular Nori Motives N. C. CombeYu. I ManinM. Marcolli Research Articles 05 November 2023 Pages: 187 - 194
Oscillations in \(p\)-Adic Diffusion Processes and Simulation of the Conformational Dynamics of Protein A. Kh. BikulovA. P. Zubarev Research Articles 05 November 2023 Pages: 169 - 186
Infinite Series Whose Topology of Convergence Varies From Point to Point M. C. Siegel Research Articles 31 July 2023 Pages: 133 - 167
Soft Logic as an Extension of Pascal’s Work Moshe KleinOded Maimon Research Articles 31 July 2023 Pages: 119 - 132
A Hille-Yosida-Phillips Theorem for Discrete Semigroups on Complete Ultrametric Locally Convex Spaces Jawad Ettayb Research Articles 31 July 2023 Pages: 113 - 118
\(p\)-Adic Weaving Multiframelets Animesh BhandariSudip MishraSubenoy Chakraborty Research Articles 31 July 2023 Pages: 104 - 112
\(L^1\)-Convergence of Double Vilenkin Series N. Yu. AgafonovaS. S. Volosivets Research Articles 31 July 2023 Pages: 94 - 103
\(2\)-Adic 1-Lipschitz Maps-Based Nonlinear Pseudorandom Generators of Arbitrary Rank Having the Longest Period Alexander Sidorov Research Articles 31 July 2023 Pages: 85 - 93
Number of Zeros of Exponential Polynomials in Zero Residue Characteristic Alain Escassut Research Articles 10 May 2023 Pages: 81 - 83
log-Coulomb Gases in the Projective Line of a \(p\)-Field Joe Webster Research Articles 10 May 2023 Pages: 59 - 80
Ergodicity and Periodic Orbits of \(p\)-Adic \((1,2)\)-Rational Dynamical Systems with Two Fixed Points I. A. SattarovE. T. Aliev Research Articles 10 May 2023 Pages: 48 - 58
On the \(p\)-Adic Properties of \(2\)-Sected Sums Involving Binomial Coefficients T. Lengyel Research Articles 10 May 2023 Pages: 23 - 47
On a New Measure on the Levi-Civita Field \( \mathcal{R} \) M. Restrepo BorreroVatsal SrivastavaK. Shamseddine Research Articles 10 May 2023 Pages: 1 - 22
\(p\)-Adic Incomplete Gamma Functions and Artin-Hasse-Type Series Xiaojian LiJay ReiterJin Yi Research Articles 02 December 2022 Pages: 335 - 343
Non-Archimedean Quasitriangular Operators and the Invariant Subspace Problem Azzedine El AsriMohammed Babahmed Research Articles 02 December 2022 Pages: 325 - 334
On the Magnitude of Fourier Coefficients with Respect to the Character System of \(\mathbb Z_p\) S. S. VolosivetsA. N. Mingachev Research Articles 02 December 2022 Pages: 316 - 324
Characterization of \(p\)-Adic Weighted Central Campanato Spaces via \(p\)-Adic Hardy Operators Commutator Teng Ma Research Articles 02 December 2022 Pages: 305 - 315
Radon-Nikodym Theorem with Respect to \((\rho,q)\)-Measure on \(\Bbb Z_p\) Dongkyu Lim Research Articles 02 December 2022 Pages: 297 - 304
Local Well-Posedness of the Cauchy Problem for a \(p\)-Adic Nagumo-Type Equation L. F. Chacón-CortésC. A. Garcia-BibianoW. A. Zúñiga-Galindo Research Articles 02 December 2022 Pages: 279 - 296
The Sojourn Time Problem for a \(p\)-Adic Random Walk and its Applications A. Kh. BikulovA. P. Zubarev Research Articles 02 December 2022 Pages: 265 - 278
On the Constructive Solvability of a Two-Dimensional Nonlinear Integral Equation Arising in the Theory of \(p\)-Adic Strings Kh. A. KhachatryanH. S. Petrosyan Research Articles 23 March 2023 Pages: S74 - S82
On the Rate of Approximation by Generalized de la Vallée Poussin Type Matrix Transform Means of Walsh-Fourier Series I. BlahotaG. Gát Research Articles 23 March 2023 Pages: S59 - S73
A Weaker Smoothness Criterion for the Inverse Function Theorem, the Intermediate Value Theorem, and the Mean Value Theorem in a non-Archimedean Setting K. ShamseddineA. Shalev Research Articles 23 March 2023 Pages: S45 - S58
Periodic Points of a \(p\)-Adic Operator and their \(p\)-Adic Gibbs Measures U. A. RozikovI. A. SattarovA. M. Tukhtabaev Research Articles 23 March 2023 Pages: S30 - S44
On Monogenity of Certain Pure Number Fields Defined by \(x^{2^r\cdot5^s\cdot 7^t}-m\) O. KchitH. Choulli Research Articles 23 March 2023 Pages: S1 - S9
Note on \(p\)-Adic Local Functional Equation Luochen Zhao Research Articles 05 August 2022 Pages: 238 - 264
Weighted Inequalities for Commutators of \(p\)-Adic Hausdorff Operators on Herz Spaces Tran Luu CuongKieu Huu DungPham Thi Kim Thuy Research Articles 05 August 2022 Pages: 224 - 237
On \(p\)-Metric Spaces and the \(p\)-Gromov-Hausdorff Distance Facundo MémoliZhengchao Wan Research Articles 05 August 2022 Pages: 173 - 223
Generalized Volkenborn Integrals Associated with \(p\)-Adic Distributions and the Bernoulli Numbers Kumi Yasuda Research Articles 23 May 2022 Pages: 164 - 171
Rigidity and Unlikely Intersection for Stable \(p\)-Adic Dynamical Systems Mabud Ali SarkarAbsos Ali Shaikh Research Articles 23 May 2022 Pages: 157 - 163
Minimum Spanning Paths and Hausdorff Distance in Finite Ultrametric Spaces Evgeniy Petrov Research Articles 23 May 2022 Pages: 145 - 156