Výsledky vyhledávání - Number theory Diophantine equations $p$-adic and power series fields. msc*

THE DIOPHANTINE EQUATION x/y + y/x + z/w + w/z = n.

Autoři: Nguyen Duy TAN Nguyen Xuan THO

Zdroj: Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Science; Apr-Jun2025, Vol. 26 Issue 2, p123-133, 11p

Témata: PRIME factors (Mathematics), ELLIPTIC curves, ALGEBRA, DIOPHANTINE equations, INTEGERS, ARGUMENT

Overlapping Iterated Function Systems from the Perspective of Metric Number Theory.

Autoři: Baker, Simon

Zdroj: Memoirs of the American Mathematical Society; Jul2023, Vol. 287 Issue 1428, p1-108, 108p

p-adic number theory.

Autoři: Gorgui-Naguib, R.N.

Zdroj: IEE Proceedings: Part G: Electronic Circuits & Systems; Jun1988, Vol. 135 Issue 3, p107-115, 9p

Artin's Primitive Root Conjecture - A Survey.

Autoři: Moree, Pieter

Zdroj: Integers; Dec2012, Vol. 12 Issue 6, p1305-1416, 112p

Témata: NUMBER theory, ARTIN'S conjecture, ELLIPTIC curves, EUCLIDEAN algorithm, ALGEBRAIC curves, COMPLEX multiplication, K-theory

Heuristic derivation of Zudilin's supercongruences for rational Ramanujan series: Heuristic derivation of Zudilin's...: J. Guillera.

Autoři: Guillera, Jesús

Zdroj: Revista Matematica Complutense; Jan2025, Vol. 38 Issue 1, p295-305, 11p

Translation‐invariant generalized P‐adic Gibbs measures for the Ising model on Cayley trees.

Autoři: Mukhamedov, Farrukh Khakimov, Otabek

Zdroj: Mathematical Methods in the Applied Sciences; Nov2021, Vol. 44 Issue 16, p12302-12316, 15p

Témata: ISING model, POTTS model, PROBABILITY theory, PHASE transitions, RENORMALIZATION group

Intersections of orbits of self‐maps with subgroups in semiabelian varieties.

Autoři: Bell, Jason Ghioca, Dragos

Zdroj: Bulletin of the London Mathematical Society; Feb2024, Vol. 56 Issue 2, p783-795, 13p

Témata: ORBITS (Astronomy), ARITHMETIC series, COMPOSITION operators, DENSITY

Normed Amenability and Bounded Cohomology over Non-Archimedean Fields.

Autoři: Fournier-Facio, Francesco

Zdroj: Memoirs of the American Mathematical Society; Jul2024, Vol. 299 Issue 1494, p1-116, 116p

Intrinsic Approach to Galois Theory of q-Difference Equations.

Autoři: Vizio, Lucia Di Hardouin, Charlotte Granier, Anne

Zdroj: Memoirs of the American Mathematical Society; 9/24/2022, Vol. 279 Issue 1376, p1-88, 88p

Rigid Local Systems and Sporadic Simple Groups.

Autoři: Michael, Nicholas Katz Rojas-Le\'on, Antonio Huu, Pham Tiep

Zdroj: Memoirs of the American Mathematical Society; Apr2025, Vol. 308 Issue 1559, p1-198, 198p

Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field Regime.

Autoři: Bilman, Deniz D., Peter Miller

Zdroj: Memoirs of the American Mathematical Society; Aug2024, Vol. 300 Issue 1505, p1-102, 102p

Solving S-unit, Mordell, Thue, Thue--Mahler and Generalized Ramanujan--Nagell Equations via the Shimura--Taniyama Conjecture.

Autoři: K\"anel, Rafael von Matschke, Benjamin

Zdroj: Memoirs of the American Mathematical Society; Jun2023, Vol. 285 Issue 1419, p1-154, 154p

On Refined Conjectures of Birch and Swinnerton-Dyer type for Hasse--Weil--Artin L-Series.

Autoři: Burns, David Castillo, Daniel Macias

Zdroj: Memoirs of the American Mathematical Society; May2024, Vol. 297 Issue 1482, p1-168, 168p

Identities for Korobov-type polynomials arising from functional equations and p-adic integrals.

Autoři: Yardimci, Ahmet Simsek, Yilmaz

Zdroj: Journal of Nonlinear Sciences & Applications (JNSA); 2017, Vol. 10 Issue 5, p2767-2777, 11p

Témata: FUNCTIONAL equations, POLYNOMIALS, COMBINATORIAL topology, BERNOULLI numbers, INTEGRAL equations

The Motivic Anabelian Geometry of Local Heights on Abelian Varieties.

Autoři: Alexander, L. Betts

Zdroj: Memoirs of the American Mathematical Society; Oct2024, Vol. 302 Issue 1518, p1-100, 100p

On p-adic L-functions for Hilbert modular forms.

Autoři: Bergdall, John Hansen, David

Zdroj: Memoirs of the American Mathematical Society; Jun2024, Vol. 298 Issue 1489, p1-138, 138p

Modular Representation Theory and Commutative Banach Algebras.

Autoři: J., David Benson

Zdroj: Memoirs of the American Mathematical Society; Jun2024, Vol. 298 Issue 1488, p1-130, 130p

Candidate Biographies.

Zdroj: Notices of the American Mathematical Society; Sep2024, Vol. 71 Issue 8, p1091-1108, 18p

Hyperderivatives of Periods and Quasi-Periods for Anderson t-Modules.

Autoři: Namoijam, Changningphaabi A., Matthew Papanikolas

Zdroj: Memoirs of the American Mathematical Society; Oct2024, Vol. 302 Issue 1517, p1-134, 134p

Regularity with Respect to the Parameter of Lyapunov Exponents for Diffeomorphisms with Dominated Splitting.

Autoři: Saghin, Radu Valenzuela-Henr\'{\i}quez, Pancho V\'asquez, Carlos H.

Zdroj: Memoirs of the American Mathematical Society; Aug2024, Vol. 300 Issue 1506, p1-90, 90p