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Problems in Number Theory related to Mathematical Physics

open access: green, 2008
This thesis consists of an introduction and four papers. All four papers are devoted to problems in Number Theory. In Paper I, a special class of local ζ-functions is studied. The main theorem states that the functions have all zeros on the line Re(s)=1/2.This is a natural generalization of the result of Bump and Ng stating that the zeros of the Mellin
Rikard Olofsson
openalex   +2 more sources

A Mathematical Problem Formulation Based on Number Theory

open access: diamondCommunications on Applied Nonlinear Analysis
A branch of mathematics known as number theory is primarily concerned with the study of whole numbers. In that sense, number theory is used less in design than it is in analytics, computation, and other fields. Its inability to be used directly in any application was the issue.
Vinayak Kishan Nirmale
openalex   +2 more sources

Mathematics in ‘the news’: number theory and number sense

open access: yesThe Mathematical Gazette, 2022
Time spent in national pandemic ‘lockdowns’ and ‘tiers’ for most of 2020 has created an opportunity to revisit some ideas previously committed to paper, but unfinished. I now return to one of them, to continue and share the line of thought, if not to complete it.
openaire   +2 more sources

Two-Player Tower of Hanoi [PDF]

open access: yes, 2017
The Tower of Hanoi game is a classical puzzle in recreational mathematics (Lucas 1883) which also has a strong record in pure mathematics. In a borderland between these two areas we find the characterization of the minimal number of moves, which is $2^n ...
Chappelon, Jonathan   +2 more
core   +2 more sources

Universal arrows to forgetful functors from categories of topological algebra [PDF]

open access: yes, 1992
We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological algebra.
Pestov, Vladimir G.
core   +2 more sources

Number theory in secondary schools’ mathematics

open access: yesLietuvos matematikos rinkinys, 2021
Schools’ curricula are analyzed in terms of Number Theory.  We deduce,  that the concept of number is first and main in secondary schools’ Mathematics.  The problems of divisibility of numbers are also discussed, the examples of such problems are given.
openaire   +2 more sources

A Note on Powers in Finite Fields [PDF]

open access: yes, 2015
The study of solutions to polynomial equations over finite fields has a long history in mathematics and is an interesting area of contemporary research.
Aabrandt, Andreas   +1 more
core   +2 more sources

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