Results 31 to 40 of about 947,467 (42)

Enumerating number fields [PDF]

open access: yesarXiv, 2019
We construct small models of number fields and deduce a better bound for the number of number fields of given degree and bounded discriminant.
arxiv  

L-function and rational points on an elliptic curve via the classical number theory [PDF]

open access: yesarXiv, 2013
L-function and rational points on an elliptic curve via the classical number theory.
arxiv  

Fermat's Last Theorem: Algebra and Number Theory [PDF]

open access: yesarXiv, 2016
In our work we give the examples using Fermat's Last Theorem for solving some problems from algebra and number theory.
arxiv  

Some of Erd\H os' unconventional problems in number theory, thirty-four years later [PDF]

open access: yesarXiv, 2019
We give an historical account, including recent progress, on some problems of Erd\H os in number theory.
arxiv  

Why everyone should know number theory [PDF]

open access: yesarXiv, 2002
This was an expository lecture for the graduate student colloquium at the University of Arizona on the topic of numbers.
arxiv  

Sparse binary cyclotomic polynomials [PDF]

open access: yesJ. Number Theory 132 (2012), 410-413, 2011
We derive a lower and an upper bound for the number of binary cyclotomic polynomials $\Phi_m$ with at most $m^{1/2+\epsilon}$ nonzero terms.
arxiv  

Class numbers of orders in cubic fields [PDF]

open access: yesarXiv, 2000
We give an asymptotic formula for class numbers of orders in cubic number fields.
arxiv  

A note on the q-Genocchi numbers and polynomials [PDF]

open access: yesarXiv, 2007
In ths paper we discuss the new concept of the q-extension of Genocchi numbers and give the some relations between q-Genocchi polynomials and q-Euler numbers.
arxiv  

Euler number and polynomials of higher order [PDF]

open access: yesarXiv, 2010
In this paper we study the higher-order Euler numbers and polynomials and we introduce the mutiple zeta functions which interpolate higher-order Euler polynomials and numbers at negative ...
arxiv  

Octagonal relations [PDF]

open access: yesarXiv
We study the action of the absolute Galois group on the fundamental groups.
arxiv  

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