Publication detail

The fourth power of the Fermat quotient

SKULA, L. AGOH, T.

Czech title

Čtvrtá mocnina Fermatova kvocientu

English title

The fourth power of the Fermat quotient

Type

journal article - other

Language

en

Original abstract

In this paper a formula for the fourth power of the fermat quotient with base 2 is derived. This formula is represented by a linear comnination of Mirimanoff polynomial values. The Bernoulli numbers accurs also in this formula.

Czech abstract

V článku je odvozen vzorec pro čtvrtou mocninu Fermatova kvocientu s bazí 2. Tento vzorec je reprezentován lineární kombinací hodnot Mirimaniffových polynomů. Ve vzorci vystupují Bernoulliova čísla.

English abstract

In this paper a formula for the fourth power of the fermat quotient with base 2 is derived. This formula is represented by a linear comnination of Mirimanoff polynomial values. The Bernoulli numbers accurs also in this formula.

Keywords in Czech

Fermatův kvocientů; Mirimanoffovy polynomy; Bernoulliova čísla

Keywords in English

Fermat quotients; Mirimanoff polynomials; Bernoulli numbers

RIV year

2008

Released

01.10.2008

Publisher

ELSEVIER

Location

New Yourk

ISSN

0022-314X

Journal

JOURNAL OF NUMBER THEORY

Volume

128

Number

1

Pages from–to

2865–2873

Pages count

9

BIBTEX


@article{BUT47342,
  author="Ladislav {Skula} and Takashi {Agoh},
  title="The fourth power of the Fermat quotient",
  journal="JOURNAL OF NUMBER THEORY",
  year="2008",
  volume="128",
  number="1",
  month="October",
  pages="2865--2873",
  publisher="ELSEVIER",
  address="New Yourk",
  issn="0022-314X"
}