Results 31 to 40 of about 25,597,246 (186)
Trace functions and Galois invariant p-adic measures [PDF]
, 2006 Let p be a prime number, Qp the field of p-adic numbers, Qp a fixed algebraic closure of Qp, and Cp the completion of Qp with respect to the p-adic valuation.
M. Vâjâitu +3 more
core +1 more source
Journal of Approximation Theory, 2003 In this article the authors consider continuous real functions defined on the ring of \(p\)-adic integers \(Z_p\). Given a set \(x_1, x_2, \ldots, x_{p^n}\) of representatives mod \(p^n\), they consider functions of the form \(x \mapsto \lambda_1 |x - x_1|+ \ldots + \lambda_{p^n} |x - x_{p^n}|\).
Andrei Yu. Khrennikov, Aliaksandr Radyna
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p-Adic valuations associated to fibers and images of polynomial functions
Finite Fields and Their Applications, 2022 Chevalley-Warning theorem deals with certain polynomial equations in many variables over finite fields that have solutions. This article can be considered as an extension of the article by \textit{P. L. Clark} et al. [Expo. Math. 39, No. 4, 604--623 (2021; Zbl 1486.11146)] using Teichmüller character and \(p\)-adic valuation of multiplicative character
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Products of $p$-Adic Valuation Trees
, 2023 The study of prime divisibility plays a crucial role in number theory. The $p$-adic valuation of a number is the highest power of a prime, $p$, that divides that number.
Snyder, Dillon
core
p-adic valuations and k-regular sequences
Discrete Mathematics, 2007 The author characterizes the polynomials \(f\) in \(\mathbb Q_p[x]\) such that the sequence of \(p\)-adic valuations \((v_p(f(n)))_{n\geq 0}\) is \(p\)-regular (in the sense of \textit{J.-P. Allouche} and \textit{J. Shallit} [Theor. Comput. Sci. 98, No.
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Unexpected Primes of Good Reduction in Quotients of Modular and Shimura Curves
Mathematische Nachrichten, EarlyView.ABSTRACT We find all zero‐dimensional spaces of newforms of weight 2 and squarefree level N$N$ with a fixed Atkin–Lehner sign pattern. As an application, we classify unexpected primes of good reduction of Atkin–Lehner quotients of modular and Shimura curves of squarefree levels.
Oana Padurariu +2 more
wiley +1 more source
Binomial expansions modulo prime powers
International Journal of Mathematics and Mathematical Sciences, 1980 In this note a result is given and proved concerning binomial expansions modulo prime powers. In the proof congruence modulo prime powers is generalized to the rational numbers via valuations.
Paul W. Haggard, John O. Kiltinen
doaj +1 more source
Noûs, EarlyView.ABSTRACT There is no precise characterization of the A‐ and B‐theories that has won a consensus in the literature. In this paper, we set out to provide clear formulations of these theories in the setting of higher‐order logic in what we call the operational framework.
Minjun Kang
wiley +1 more source
On p-adic valuations of certain m colored p-ary partition functions [PDF]
The Ramanujan Journal, 2020 AbstractLet $$k\in \mathbb {N}_{\ge 2}$$ k ∈ N ≥ 2 and for given $$m\in \mathbb {Z}{\setminus }\{0\}$$
Maciej Ulas, Błażej Żmija
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The 3‐sparsity of Xn−1$X^n-1$ over finite fields of characteristic 2
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let q$q$ be a prime power and Fq$\mathbb {F}_q$ the finite field with q$q$ elements. For a positive integer n$n$, the polynomial Xn−1∈Fq[X]$X^n - 1 \in \mathbb {F}_q[X]$ is termed 3‐sparse over Fq$\mathbb {F}_q$ if all its irreducible factors in Fq[X]$\mathbb {F}_q[X]$ are either binomials or trinomials.
Kaimin Cheng
wiley +1 more source