Výsledky vyhledávání - Number theory Algebraic number theory: local AND $p$-adic fields

A Bibliometric and Topic Modeling Analysis of the p-Adic Theory Literature Using Latent Dirichlet Allocation.

Autoři: Llinás, Humberto Gutiérrez, Ismael Torresblanca, Anselmo a další

Zdroj: Mathematics (2227-7390); Sep2025, Vol. 13 Issue 18, p2932, 18p

Témata: P-adic analysis, NUMBER theory, BIBLIOMETRICS, DOCUMENT clustering, TREND analysis, MATHEMATICAL physics, ALGEBRAIC geometry, CLASSIFICATION

Number Fields

Autoři: Frans Keune

Resource Type: eBook.

Témata: Algebraic number theory

Categories: MATHEMATICS / Number Theory

Images of Galois representations and p-adic models of Shimura curves

Autoři: Amorós Carafí, Laia

Přispěvatelé: University/Department: Universitat de Barcelona. Departament d'Àlgebra i Geometria

Thesis Advisors: laiaamca@gmail.com, Bayer i Isant, Pilar, Wiese, Gabor

Zdroj: TDX (Tesis Doctorals en Xarxa)

Témata: Geometria algebraica aritmètica, Geometría algebraica aritmética, Arithmetical algebraic geometry, Àlgebres de Hecke, Álgebras de Hecke, Hecke algebras, Formes modulars, Formas modulares, Modular forms, Camps finits (Àlgebra), Cuerpos modulares (Álgebra), Finite fields (Algebra), Varietats de Shimura, Variedades de Shimura, Shimura varieties, Teoria algebraica de nombres, Teoría algebraica de números, Algebraic number theory, Ciències Experimentals i Matemàtiques

Popis souboru: application/pdf

Přístupová URL adresa: http://hdl.handle.net/10803/471452

A Formalization of Complete Discrete Valuation Rings and Local Fields

Autoři: de Frutos-Fernández, María Inés Nuccio Mortarino Majno di Capriglio, Filippo Alberto Edoardo Universidad Autónoma de Madrid (UAM) a další

Přispěvatelé: de Frutos-Fernández, María Inés Nuccio Mortarino Majno di Capriglio, Filippo Alberto Edoardo Universidad Autónoma de Madrid (UAM) a další

Zdroj: 13th ACM SIGPLAN International Conference on Certified Programs and Proofs (CPP ’24)
https://ujm.hal.science/ujm-04222610
13th ACM SIGPLAN International Conference on Certified Programs and Proofs (CPP ’24), Jan 2024, London, United Kingdom. pp.190-204, ⟨10.1145/3636501.3636942⟩
https://popl24.sigplan.org/home/CPP-2024

Témata: Logic and verification, Proof theory formal mathematics, Lean, mathlib, algebraic number theory, local fields, discrete valuation rings, Theory of computation, CCS Concepts: Theory of computation → Logic and verification, Proof theory formal mathematics Lean mathlib algebraic number theory local fields discrete valuation rings, CCS Concepts, Theory of computation → Logic and verification, [INFO.INFO-LO]Computer Science [cs]/Logic in Computer Science [cs.LO], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

Geografické téma: London, United Kingdom

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2310.01998; ARXIV: 2310.01998

Dostupnost: https://ujm.hal.science/ujm-04222610
https://ujm.hal.science/ujm-04222610v3/document
https://ujm.hal.science/ujm-04222610v3/file/deFrutosFerandez%26Nuccio-A%20Formalization%20of%20Complete%20DVR%20and%20Local%20Fields.pdf
https://doi.org/10.1145/3636501.3636942

Validator-Grade Synthesis of the Langlands Correspondence via Spectral Functoriality, Arithmetic Regulators, Geometric Duality, and Universal Trace Propagation

Autoři: Forrest M. Anderson, Forrest

Témata: Langlands Program Langlands Correspondence Grand Langlands Conjecture Automorphic Forms Automorphic Representations Galois Representations Modular Forms L-functions Motives Number Theory Representation Theory Arithmetic Geometry Algebraic Geometry Moduli Spaces Shimura Varieties Tannakian Categories Hecke Algebras Parabolic Subgroups Satake Isomorphism Trace Formula Arthur's Trace Formula Endoscopy Theory Functoriality Principle Harmonic Analysis on Reductive Groups Reductive Algebraic Groups Automorphic L-functions Cuspidal Representations Adelic Groups Theta Correspondence Unramified Representations Tempered Representations Galois Deformations P-adic Hodge Theory Geometric Langlands Program Topos Theory Derived Algebraic Geometry Perverse Sheaves D-modules Categorical Langlands Correspondence Affine Grassmannian Loop Groups Geometric Satake Equivalence Shtukas Étale Cohomology Torsors Modular Curves Langlands Dual Group Langlands Reciprocity Frobenius Morphism Local-Global Principle Arithmetic Duality Zeta Functions Motivic L-functions Lafforgue Correspondence V. Lafforgue Robert Langlands Ngo Bao Chau Wiles–Taylor Modular Lifting Fermat's Last Theorem Drinfeld Modules Shimura-Taniyama Conjecture Sato–Tate Conjecture Serre's Modularity Conjecture, Langlands Program, Grand Langlands Conjecture, Spectral Functoriality, Arithmetic Regulator, Geometric Langlands, Automorphic Representations, Motives, Motivic Cohomology, Derived Algebraic Geometry, D-modules, Perverse Sheaves, Hecke Operators, Affine Grassmannian, Moduli Stacks, Local Systems, Langlands Dual Group, Functional Equations, L-functions, Trace Formula, Frobenius Trace, Interval Arithmetic, LU Decomposition, Determinant Identity, Regulator Maps, Categorical Equivalence, Kernel Transforms, Fourier-Mukai Functor, Derived Categories, Tannakian Formalism, Spectral Stacks, Arithmetic Geometry, Algebraic Groups, Representation Theory, Algebraic Topology, Homotopical Algebra, Derived Stacks, Categorical Descent, Spectral Gluing, Validator-Grade Proofs, Replication Frameworks, Mathematical Physics, Number Theory, Algebraic Geometry, Non-Abelian Hodge Theory, Geometric Satake Equivalence, Beilinson-Drinfeld, Deligne, Grothendieck, Voevodsky, Frenkel, Gaitsgory, Lurie, Mirkovié-Vilonen, Jacquet-Langlands, Arthur Trace Formula, Ngo Fundamental Lemma, Local Langlands Correspondence, Global Langlands Correspondence, p-adic Langlands Program, Langlands Parameters, L-packets, Endoscopy Theory, Stabilization of the Trace Formula, Base Change, Liftings, Langlands–Shahidi Method, Converse Theorems, Langlands–Deligne Conjecture, Langlands–Rapoport Conjecture, Langlands–Tunnell Theorem, Ran Space, Factorization Algebras, Chiral Algebras, Twisted Sheaves, Ind-schemes, Loop Groups, Perfectoid Spaces, Diamonds, Prismatic Cohomology, Crystalline Cohomology, Rigid-Analytic Spaces, Infinity Categories, ∞-categories, Higher Topos Theory, Sheaf Theory in ∞-categories, Spectral Algebraic Geometry, Stable ∞-categories, Simplicial Presheaves, Model Categories, Homotopy Type Theory, Motivic Homotopy Theory, A¹-homotopy, Mirror Symmetry, S-duality, Topological Quantum Field Theory, Extended TQFTs, Kapustin–Witten Correspondence, Betti Moduli, de Rham Moduli, Dolbeault Moduli, Hodge Filtration, Hitchin Fibration, Nonabelian Poincaré Duality, Modularity Lifting Theorems, Galois Deformation Rings, Shimura Varieties, Eigenvarieties, Cohomology of Arithmetic Groups, Mod p Representations, p-adic Representations, Iwasawa Theory, p-adic Hodge Theory, Perfectoid Modular Curves, Overconvergent Modular Forms, Categorical Traces, Topos Theory, Groupoid Schemes, Cohomological Descent, Étale Cohomology, Grothendieck Topologies, Crystals, F-isocrystals, Shtukas, Stacky Picard Group, Robert Langlands, Pierre Deligne, Jean-Pierre Serre, Michael Harris, Richard Taylor, Vincent Lafforgue, Laurent Fargues, Peter Scholze, Rapoport, Zink, Carayol, Laumon, Waldspurger, Drinfeld, Gauge Theory, Topological Sigma Models, Electric–Magnetic Duality, String Theory, Branes, A-model, B-model, Quantum Geometric Langlands, Conformal Field Theory, Arithmetic Topology, Categorified Langlands Program, Extended Langlands Duality, Arithmetic Topos, Higher Reciprocity Laws, Functoriality Principle, Relative Trace Formula, Noncommutative Geometry, Motivic Integration, Crystalline Stacks, Langlands Program, Automorphic Forms, 11F70, 11F80, Shimura Varieties, Modular Forms, Representation Theory, Galois Representations

Algebraic Groups.

Autoři: Jakob, Konstantin

Zdroj: Oberwolfach Reports; 2025, Vol. 22 Issue 2, p941-1004, 63p

Témata: LINEAR algebraic groups, ALGEBRAIC geometry, ALGEBRAIC topology, NUMBER theory, REPRESENTATION theory, DIFFERENTIAL equations, ALGEBRAIC combinatorics

A class of spatially inhomogeneous Dirichlet spaces on the p-adic number field: A class of spatially inhomogeneous Dirichlet spaces on the \(p\)-adic number field.

Autoři: Hiroshi Kaneko

Zdroj: Stochastic Processes and their Applications. 88:161-174

Témata: Statistics and Probability, Dirichlet forms, recurrence, transience, Applied Mathematics, \(p\)-adic number, 01 natural sciences, inhomogeneous stochastic processes, Harmonic, subharmonic, superharmonic functions on other spaces, Fourier transformation, Recurrence, p-Adic number, Modelling and Simulation, Inhomogeneous stochastic processes, Transience, Jump processes, 0101 mathematics, Diffusion processes, Algebraic number theory: local fields

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2098327
https://doi.org/10.1016/s0304-4149(99)00124-6
https://www.sciencedirect.com/science/article/abs/pii/S0304414999001246
https://ideas.repec.org/a/eee/spapps/v88y2000i1p161-174.html
https://www.sciencedirect.com/science/article/pii/S0304414999001246
http://directory.umm.ac.id/Data%20Elmu/jurnal/S/Stochastic%20Processes%20And%20Their%20Applications/Vol88.Issue1.2000/925.pdf
https://EconPapers.repec.org/RePEc:eee:spapps:v:88:y:2000:i:1:p:161-174

Some Generalized Fermat-type Equations via Q-Curves and Modularity

Autoři: Barroso de Freitas, Nuno Ricardo

Přispěvatelé: University/Department: Universitat de Barcelona. Departament d'Algebra i Geometria

Thesis Advisors: nunobfreitas@gmail.com, Dieulefait, L. V. (Luis Victor)

Zdroj: TDX (Tesis Doctorals en Xarxa)

Témata: Equacions, Ecuaciones, Equations, Anàlisi diofàntica, Diophantine analysis, Análisis diofántico, Corbes el·líptiques, Curvas elípticas, Elliptic curves, Geometria algebraica aritmètica, Geometría algebraica aritmética, Arithmetical algebraic geometry, Formes de Hilbert, Formas de Hilbert, Hilbert modular forms, Number Theory, Teoria de nombres, Teoría de números, Ciències Experimentals i Matemàtiques

Popis souboru: application/pdf

Přístupová URL adresa: http://hdl.handle.net/10803/91288

Codes over p-adic Numbers and Finite Rings Invariant under the Full Affine Group: Codes over \(p\)-adic numbers and finite rings invariant under the full affine group

Autoři: Kanat Abdukhalikov

Zdroj: Finite Fields and Their Applications. 7:449-467

Témata: Algebra and Number Theory, finite rings, \(p\)-adic numbers, Applied Mathematics, Algebraic coding theory, cryptography (number-theoretic aspects), 02 engineering and technology, 01 natural sciences, affine group, Theoretical Computer Science, affine invariant codes, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Engineering(all), Linear codes (general theory), Algebraic number theory: local fields

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S1071579700902971
https://core.ac.uk/display/82241515
https://www.sciencedirect.com/science/article/abs/pii/S1071579700902971

On the Extension of the von Mises Frequency Approach and Kolmogorov Axiomatic Approach to the p-Adic Probability Theory: On the extensions of the von Mises frequency approach and Kolmogorov axiomatic approach to the \(p\)-adic probability theory

Autoři: A. Yu. Khrennikov

Zdroj: Theory of Probability & Its Applications. 40:371-376

Témata: \(p\)-adic numbers, frequency, 0103 physical sciences, \(p\)-adic norm, Foundations of probability theory, 0101 mathematics, 01 natural sciences, Algebraic number theory: local fields

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/850393
https://epubs.siam.org/doi/abs/10.1137/1140040

Attractors of random dynamical systems over p-adic numbers and a model of ‘noisy’ cognitive processes: Attractors of random dynamical systems over \(p\)-adic numbers and a model of ``noisy'' cognitive processes.

Autoři: Volker Matthias Gundlach Oliver Steinkamp Daniel Dubischar a další

Zdroj: Physica D: Nonlinear Phenomena. 130:1-12

Témata: Bifurcation theory for random and stochastic dynamical systems, Cognitive psychology, 0103 physical sciences, 0101 mathematics, 01 natural sciences, Dynamical systems in biology, Algebraic number theory: local fields

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1370182
https://doi.org/10.1016/s0167-2789(99)00011-1
http://ui.adsabs.harvard.edu/abs/1999PhyD..130....1D/abstract
https://www.sciencedirect.com/science/article/pii/S0167278999000111

The infinite base change lifting associated to an APF extension of a $p$-adic field (Algebraic Number Theory and Related Topics 2015)

Zdroj: The infinite base change lifting associated to an APF extension of a $p$-adic field (Algebraic Number Theory and Related Topics 2015). :37-64

The geometric theory of p-adic fields: The geometric theory of \(p\)-adic fields

Autoři: Edmund Robinson

Zdroj: Journal of Algebra. 110:158-172

Témata: p-adic fields, Local ground fields in algebraic geometry, p-adically closed fields, Algebra and Number Theory, definable closed sets, General valuation theory for fields, sets of n-th powers, Quantifier elimination, model completeness, and related topics, 01 natural sciences, Non-Archimedean valued fields, quantifier elimination, model completion, 0101 mathematics, Algebraic number theory: local fields, Model theory of fields

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/002186938790041X
https://www.sciencedirect.com/science/article/pii/002186938790041X

Algebraic number fields

Autoři: L. V. Kuz'min

Zdroj: Journal of Soviet Mathematics. 38:1930-1988

Témata: arithmetic of abelian fields, Algebraic number theory: global fields, Research exposition (monographs, survey articles) pertaining to number theory, Galois theory, bibliography, algebraic numbers, reference list, 01 natural sciences, Gamma-extensions, p-adic L-functions, survey, local fields, cyclotomic fields, Homological methods (field theory), 0101 mathematics, Algebraic number theory: local fields

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007%2FBF01093434
https://rd.springer.com/article/10.1007/BF01093434

K-theory, chamber homology and base change for the p-ADIC groups SL(2), GL(1) and GL(2)

Autoři: Aeal, Wemedh Rowley, Peter. Plymen, Roger

Přispěvatelé: Aeal, Wemedh Rowley, Peter. Plymen, Roger

Témata: 514.2, K-Theory, Non-Commutative Geometry, Chamber Homology, Base Change, Representation Theory, Number Theory, Algebraic Topology

Přístupová URL adresa: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.554170

Pair Correlation of Squares in p-Adic Fields: Pair correlation of squares in \(p\)-adic fields.

Autoři: Alexandru Zaharescu

Zdroj: Canadian Journal of Mathematics. 55:432-448

Témata: growth conditions, Poisson correlation, Well-distributed sequences and other variations, 0101 mathematics, 01 natural sciences, Algebraic number theory: local fields

Popis souboru: application/xml

Přístupová URL adresa: https://experts.illinois.edu/en/publications/pair-correlation-of-squares-in-p-adic-fields
https://cms.math.ca/10.4153/CJM-2003-019-6

Diophantine Problems Over Local Fields II. A Complete Set of Axioms for p-Adic Number Theory: Diophantine problems over local fields. I. II: A complete set of axioms for \(p\)-adic number theory

Autoři: Simon Kochen James Ax

Zdroj: American Journal of Mathematics. 87:631

Témata: Decidability (number-theoretic aspects), \(p\)-adic and power series fields, number theory, Formally \(p\)-adic fields, Algebraic number theory: local fields

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3221528
https://doi.org/10.2307/2373065
https://www.jstor.org/stable/2373066

Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023)

Autoři: Zhiyong Zheng Tianze Wang

Resource Type: eBook.

Témata: Social planning, National security, Number theory

Categories: COMPUTERS / Security / General, MATHEMATICS / Numerical Analysis

ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS: On ergodic behavior of \(p\)-adic dynamical systems

Autoři: Mathias Gundlach Karl-Olof Lindahl Andrei Khrennikov

Zdroj: Infinite Dimensional Analysis, Quantum Probability and Related Topics. :569-577

Témata: 37A25, Dynamical Systems (math.DS), Low-dimensional dynamical systems, 37B05, 01 natural sciences, Dynamical systems over complex numbers, FOS: Mathematics, ergodicity, monomial dynamical systems over \(p\)-adic numbers, Relations of ergodic theory with number theory and harmonic analysis, 12J25, Mathematics - Dynamical Systems, 0101 mathematics, Algebraic number theory: local fields

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/0806.0260
http://arxiv.org/abs/0806.0260
http://www.diva-portal.org/smash/record.jsf?pid=diva2:344785
https://www.worldscientific.com/doi/abs/10.1142/S0219025701000632

On the p-adic Waring's problem: On the \(p\)-adic Waring's problem

Autoři: José Felipe Voloch

Zdroj: Acta Arithmetica. 90:91-95

Témata: \(p\)-adic numbers, unramified extension, Waring's problem, Waring's problem and variants, Other analytic theory, 0101 mathematics, 01 natural sciences, Algebraic number theory: local fields

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/110770?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-aav90i1p91bwm
https://eudml.org/doc/207317