Results 101 to 110 of about 1,598,417 (209)

Variable‐Range Hopping Conduction in Amorphous, Non‐Stoichiometric Gallium Oxide

open access: yesAdvanced Electronic Materials, Volume 11, Issue 4, April 2025.
The combination of experimental evidence, ab‐initio DOS calculations and quantitative modeling by kinetic Monte Carlo simulations reveals: Variable‐range hopping (VRH) is the dominant electron conduction mechanism in a‐GaOx (x = 0.8 to 1.0), even at room temperature, which leads to a new, fundamental understanding of a‐GaOx‐based electronic devices ...
Philipp Hein   +7 more
wiley   +1 more source

Dimorphic Mersenne numbers and their applications

open access: yes, 2022
The Mersenne primes are primes which can be written as some prime power of 2 minus 1. These primes were studied from antiquity in that their close connection with perfect numbers and even to present day in that their easiness for primality test. In this paper, we introduce the dimorphic Mersenne numbers as a degenerate version of the Mersenne numbers ...
Kim, Taekyun, Kim, Dae san
openaire   +2 more sources

Closed-Form Solutions of Second-Order Leonardo-Type Sequences: Homogeneous Counterparts in Jacobsthal and Mersenne Numbers

open access: yesAsian journal of current research
The objective of this study is to derive explicit closed-form solutions for second-order nonhomogeneous linear recurrence relations with polynomial inputs, formulated as generalized Leonardo-type sequences.
Y. Soykan
semanticscholar   +1 more source

On Mersenne’s number 𝑀₂₂₇ and cognate data [PDF]

open access: yesBulletin of the American Mathematical Society, 1948
condition XX-i /^^O. But ^2—^1 shows that this condition is not sufficient. Polya remarked that if (25) has infinitely many solutions we can not have a i^O, #1+02 se 0, • • • , # i+#2+ • • • +an^0t The characterization of the forms which satisfy (26) seems a difficult problem. Finally we mention two more questions: (1) Cantheinequal i t ies^ n +i-^n pk-
openaire   +3 more sources

Silicon single-electron random number generator based on random telegraph signals at room temperature

open access: yesAIP Advances, 2020
The need for hardware random number generators (HRNGs) that can be integrated in a silicon (Si) complementary-metal–oxide–semiconductor (CMOS) platform has become increasingly important in the era of the Internet-of-Things (IoT).
Kouta Ibukuro   +9 more
doaj   +1 more source

On Mersenne’s number 𝑀₁₉₉ and Lucas’s sequences [PDF]

open access: yesBulletin of the American Mathematical Society, 1947
On July 27, 1946 the writer finished calculating the 198th remainder of the Lucasian sequence 3, 7, 47, • • • as applied to the 60-digit Mersenne number 2 1 9 9 -1=80346 90221 29495 13777 09810 46170 ...
openaire   +3 more sources

Mersenne numbers [PDF]

open access: yes, 1987
These notes have been issued on a small scale in 1983 and 1987 and on request at other times. This issue follows two items of news. First, WaIter Colquitt and Luther Welsh found the 'missed' Mersenne prime M110503 and advanced the frontier of complete Mp-testing to 139,267. In so doing, they terminated Slowinski's significant string of four consecutive
openaire  

Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials

open access: yesMathematics
In this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud   +2 more
doaj   +1 more source

On the emergence of the Quanta Prime sequence

open access: yesArab Journal of Basic and Applied Sciences
This paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
Moustafa Ibrahim
doaj   +1 more source

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