Results 31 to 40 of about 312 (173)
Some exponential diophantine equations [PDF]
Some exponential diophantine equations制度:新 ; 文部省報告番号:甲961号 ; 学位の種類:博士(理学) ; 授与年月日:1993-03-04 ; 早大学位記番号:新1907 ; 理工学図書館請求番号 ...
Terai, Nobuhiro, 寺井, 伸浩
openaire +1 more source
Reverse engineered Diophantine equations [PDF]
, 2023 We answer a question of Samir Siksek, asked at the open problems session of the conference ``Rational Points 2022'', which, in a broader sense, can be viewed as a reverse engineering of Diophantine equations.
Gajović, Stevan
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Formalizing a Diophantine Representation of the Set of Prime Numbers [PDF]
, 2022 The DPRM (Davis-Putnam-Robinson-Matiyasevich) theorem is the main step in the negative resolution of Hilbert’s 10th problem. Almost three decades of work on the problem have resulted in several equally surprising results.
Kaliszyk, Cezary, Pąk, Karol
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On the moments of exponential sums over r$r$‐free polynomials
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let Fq[t]${\mathbb {F}}_q[t]$ denote the ring of polynomials over the finite field Fq${\mathbb {F}}_q$. Building off of techniques of Balog and Ruzsa and of Keil in the integer setting, we determine the precise order of magnitude of k$k$th moments of exponential sums over r$r$‐free polynomials in Fq[t]${\mathbb {F}}_q[t]$ for all k>0$k>0$.
Ben Doyle
wiley +1 more source
Multiplicatively dependent integer vectors on a hyperplane
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed affine hyperplane and have bounded height. This work constitutes a direct extension of the results obtained by Pappalardi, Sha, Shparlinski, and Stewart.
Muhammad Afifurrahman +2 more
wiley +1 more source
Definability of complex functions in o‐minimal structures
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We prove that holomorphic continuations of functions in the classes an∗$\mathbf {an}^*$ and G$\mathcal {G}$ are definable in the o‐minimal structures Ran∗$\mathbb {R}_{\operatorname{an}^*}$ and RG$\mathbb {R}_{\mathcal {G}}$, respectively. More specifically, we give complex domains on which the holomorphic continuations are definable and show ...
Adele Padgett, Patrick Speissegger
wiley +1 more source
On some exponential diophantine equations [PDF]
, 2019 Anadolu Üniversitesi ve Bilecik Şeyh Edebali Üniversitesi tarafından ortak yürütülen program.Üç bölümden oluşan bu çalışmada sayılar teorisinin insanlık tarihi kadar eski sayılabilecek problemlerinden birisi olan Diophantine denklemlerinin özel bir ...
Akkuş, Seda Nur
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An Abstract Birkhoff Normal Form Theorem and Exponential Type Stability of the 1d NLS [PDF]
, 2020 We study stability times for a family of parameter dependent nonlinear Schrödinger equations on the circle, close to the origin. Imposing a suitable Diophantine condition (first introduced by Bourgain), we prove a rather flexible Birkhoff Normal Form ...
Biasco L., Massetti J. E., Procesi M.
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New results on embeddings of self‐similar sets via renormalization
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract For self‐similar sets X,Y⊆R$X,Y\subseteq \mathbb {R}$, we obtain new results toward the affine embeddings conjecture of Feng–Huang–Rao (2014), and the equivalent weak intersections conjecture. We show that the conjecture holds when the defining maps of X,Y$X,Y$ have algebraic contraction ratios, and also for arbitrary Y$Y$ when the maps ...
Amir Algom, Michael Hochman, Meng Wu
wiley +1 more source
Exponential Diophantine equations [PDF]
, 2006 Kroz mnoštvo ilustrativnih primjera opisani su različiti pristupi za rješavanje eksponencijalnih diofantskih jednadžbi. Zadaci su prilagođeni učenicima srednje škole.Various approaches to solving exponential diophantine equations are described by a wide ...
Ilišević, I., I. Ilišević
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