Results 51 to 60 of about 25,324 (178)
p-adic difference-difference Lotka-Volterra equation and ultra-discrete limit [PDF]
, 2001 We study the difference-difference Lotka-Volterra equations in p-adic number space and its p-adic valuation version. We point out that the structure of the space given by taking the ultra-discrete limit is the same as that of the p-adic valuation space ...
Shigeki Matsutani
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Some bounds related to the 2‐adic Littlewood conjecture
Mathematika, Volume 72, Issue 2, April 2026.Abstract For every irrational real α$\alpha$, let M(α)=supn⩾1an(α)$M(\alpha) = \sup _{n\geqslant 1} a_n(\alpha)$ denote the largest partial quotient in its continued fraction expansion (or ∞$\infty$, if unbounded). The 2‐adic Littlewood conjecture (2LC) can be stated as follows: There exists no irrational α$\alpha$ such that M(2kα)$M(2^k \alpha)$ is ...
Dinis Vitorino, Ingrid Vukusic
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Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
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Counting problems for orthogonal sets and sublattices in function fields
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let K=Fq((x−1))$\mathcal {K}=\mathbb {F}_q((x^{-1}))$. Analogous to orthogonality in the Euclidean space Rn$\mathbb {R}^n$, there exists a well‐studied notion of ultrametric orthogonality in Kn$\mathcal {K}^n$. In this paper, we extend the work of [4] on counting problems related to orthogonality in Kn$\mathcal {K}^n$.
Noy Soffer Aranov, Angelot Behajaina
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The 2-adic valuation of shifted Padovan and Perrin numbers and applications
Turkish Journal of MathematicsThe Padovan sequence is the ternary recurrent sequence \((P_n)_{n\ge 0}\) given by the recurrence \(P_{n+3}=P_{n+1}+P_n\) of initial values \(P_0=P_1=P_2=1\). The Perron numbers \((R_n)_{n\ge 0}\) satisfy the same recurrence but have initial values \(R_0=3,~R_1=0,~R_2=2\).
Bravo, Eric, Irmak, Nurettin
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Moments of L$L$‐functions via a relative trace formula
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We prove an asymptotic formula for the second moment of the GL(n)×GL(n−1)$\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ Rankin–Selberg central L$L$‐values L(1/2,Π⊗π)$L(1/2,\Pi \otimes \pi)$, where π$\pi$ is a fixed cuspidal representation of GL(n−1)$\mathrm{GL}(n-1)$ that is tempered and unramified at every place, while Π$\Pi$ varies over a family of
Subhajit Jana, Ramon Nunes
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Valuation Studies? Our Collective Two Cents
, 2013 This article presents the results of a poll made among the members of the editorial and advisory boards of Valuation Studies. The purpose is to overview the topic that is the remit of the new journal. The poll focused on three questions: 1.
Aspers, Patrik, Aspers, Patrik,
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Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, Volume 299, Issue 3, Page 496-513, March 2026.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
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Valuation studies and the critique of valuation
, 2014 International audienceAn editorial note for Valuation Studies on the critique of ...
Doganova, Liliana, +32 more
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