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On a Connection of Number Theory with Graph Theory

open access: yesFrom Great Discoveries in Number Theory to Applications, 2004
L. Somer, M. Křížek
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Analytic Number Theory and Algebraic Asymptotic Analysis

Monographs in Number Theory, 2023
This monograph elucidates and extends many theorems and conjectures in analytic number theory and algebraic asymptotic analysis via the natural notion of"degree"and a more general notion that we call"logexponential degree."Specifically, we define the ...
Jesse Elliott
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A conjectural asymptotic formula for multiplicative chaos in number theory

Research in Number Theory, 2021
We investigate a special sequence of random variables A(N) defined by an exponential power series with independent standard complex Gaussians (X(k))k≥1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Daksh Aggarwal   +4 more
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Representational measurement theory: Is its number up?

Theory & psychology, 2020
Representational measurement theory was proposed initially to solve problems caused by disciplinary aspirations of 19th-century mathematicians, who wanted to construe their subject as independent of its applications in empirical science.
J. Michell
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Proof of Mirror Theory for ξmax = 2

IEEE Transactions on Information Theory, 2022
In ICISC-05, and in the ePrint 2010/287, Patarin claimed a lower bound on the number of $2 q$ tuples of $n$ -bit strings $(P_{1}, \ldots, P_{2q}) \in ({\{0,1\}}^{n})^{2q}$ satisfying $P_{2i - 1} \oplus P_{2i} = \lambda _{i}$ for $1 \leq i \leq q$
Avijit Dutta, M. Nandi, Abishanka Saha
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Computational Number Theory in Relation with L-Functions

Notes from the International Autumn School on Computational Number Theory, 2018
We give a number of theoretical and practical methods related to the computation of L-functions, both in the local case (counting points on varieties over finite fields, involving in particular a detailed study of Gauss and Jacobi sums), and in the ...
H. Cohen
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Number of solutions to a special type of unit equations in two unknowns, II

Research in Number Theory, 2022
This paper contributes to the conjecture of R. Scott and R. Styer which asserts that for any fixed relatively prime positive integers a, b and c all greater than 1 there is at most one solution to the equation ax+by=cz\documentclass[12pt]{minimal ...
Takafumi Miyazaki, István Pink
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On further application of the zeta distribution to number theory

Research in Number Theory, 2023
Takahiko Fujita, Naohiro Yoshida
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Synthesis Theory of Ultra-Wideband Bandpass Transformer and its Wilkinson Power Divider Application With Perfect in-Band Reflection/Isolation

IEEE transactions on microwave theory and techniques, 2019
A synthesis theory of ultra-wideband (UWB) bandpass (BP) transformer with short-circuited stubs is proposed in this paper. Based on the short-circuited stub number and their positions, six combination topologies are presented when the transmission line ...
Xiaolong Wang   +5 more
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