Results 31 to 40 of about 14,657,964 (307)

A Page in Number Theory

open access: yesJ. Formaliz. Reason., 2008
We discuss the formalization, in the Matita Interactive Theorem Prover, of a few elementary results in number theory about the Moebius mu function and the Euler phi function.
ASPERTI, ANDREA, C. Armentano
openaire   +4 more sources

New family of special numbers associated with finite operator [PDF]

open access: yesMathematica Moravica, 2020
Using the notion of the generating function of a function, we define an operator with whom we manage to build a large family of numbers and polynomials. This technique permits to give the closed formulae and interesting combinatorial identities.
Goubi Mouloud
doaj   +1 more source

RESEARCH ON NUMBER THEORY AND SMARANDACHE NOTIONS [PDF]

open access: yes, 2010
This Book is devoted to the proceedings of the Sixth International Conference on Number Theory and Smarandache Notions held in Tianshui during April 24-25, 2010.
Wenpeng, Zhang
core   +1 more source

Fast library for number theory : an introduction [PDF]

open access: yes, 2010
We discuss FLINT (Fast Library for Number Theory), a library to support computations in number theory, including highly optimised routines for polynomial arithmetic and linear algebra in exact ...
R. A. Carr   +4 more
core   +1 more source

A problem in the theory of numbers [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1890
Let it be required to find the square integral numbers which added to a given integer shall produce a square integer, and the smallest such number.
openaire   +2 more sources

The height of q-Binary Search Trees [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2002
q-binary search trees are obtained from words, equipped with a geometric distribution instead of permutations. The average and variance of the heighth computated, based on random words of length n, as well as a Gaussian limit law.
Michael Drmota, Helmut Prodinger
doaj   +1 more source

RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (VOL. II) [PDF]

open access: yes, 2005
The research on Smarandache Problems plays a key role in the development of number theory. Therefore, many mathematicians show their interest in the Smarandache problems and they conduct much research on them.
Duansen, Liu   +2 more
core   +1 more source

The distribution of ascents of size d or more in compositions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
Combinatorics
Charlotte Brennan, Arnold Knopfmacher
doaj   +1 more source

Record statistics in integer compositions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
A $\textit{composition}$ $\sigma =a_1 a_2 \ldots a_m$ of $n$ is an ordered collection of positive integers whose sum is $n$. An element $a_i$ in $\sigma$ is a strong (weak) $\textit{record}$ if $a_i> a_j (a_i \geq a_j)$ for all $j=1,2,\ldots,i-1 ...
Arnold Knopfmacher, Toufik Mansour
doaj   +1 more source

Elliptic curves with complex multiplication and applications to class field theory [PDF]

open access: yes, 2022
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the extensions of number fields. This problem appears as the 12° of the 23 Hilbert's problems, and is essentially an extension of the Kronecker-Weber theorem,
Silvestri, Ersilia
core  

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