Results 81 to 90 of about 13,182 (153)
An Euler system for GU(2, 1). [PDF]
Math Ann, 2022 Loeffler D, Skinner C, Zerbes SL.
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Irreducibility of limits of Galois representations of Saito-Kurokawa type. [PDF]
Res Number Theory, 2021 Berger T, Klosin K.
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On the $p$-adic valuations of values of Legendre polynomials
We prove an explicit formula for the $p$-adic valuation of the Legendre polynomials $P_n(x)$ evaluated at a prime $p$, and generalize an old conjecture of the third author. We also solve a problem proposed by Cigler in 2017.
Alekseyev, Max A. +3 more
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From p-rigid elements to valuations (with a Galois-characterization of p-adic fields).
Journal für die reine und angewandte Mathematik (Crelles Journal), 1995 It is proved that for an odd prime \(p\), an element \(a\) of a field \(F\) containing a primitive \(p\)-th root of unity has non-\(p\)-divisible value w.r.t. a \(p\)-henselian valuation of residual characteristic \(\neq p\) if and only if \(F^ p+ a^ i F^ p \subseteq F^ p \cup a^ i F^ p\) for each \(i=1, \dots, p-1\).
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Lattices in Tate modules. [PDF]
Proc Natl Acad Sci U S A, 2021 Poonen B, Rybakov S.
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The $p$-adic Valuations of Möbius Duals of Lucas Sequences
In this paper, we extend the $p$-adic valuations of the Möbius duals of Lucas sequences, originally obtained by Carmichael for regular Lucas sequences to irregular Lucas sequences. We conclude with a brief observation about the relationship of these valuations to the existence of Wall-Sun-Sun primes.
Ross, Tyler +2 more
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A note on $p$-adic valuations of the Schenker sums
, 2014 A prime number $p$ is called a Schenker prime if there exists such $n\in\mathbb{N}_+$ that $p\nmid n$ and $p\mid a_n$, where $a_n = \sum_{j=0}^{n}\frac{n!}{j!}n^j$ is so-called Schenker sum. T. Amdeberhan, D. Callan and V. Moll formulated two conjectures concerning $p$-adic valuations of $a_n$ in case when $p$ is a Schenker prime.
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Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]
Proc Natl Acad Sci U S A, 2021 Allen PB, Khare CB, Thorne JA.
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A Novel Cipher-Based Data Encryption with Galois Field Theory. [PDF]
Sensors (Basel), 2023 Hazzazi MM +3 more
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