Publication detail

The cube of the Fermat quotient

SKULA, L. DILCHER, K.

Czech title

Třetí mocnina Fermatova kvocientu

English title

The cube of the Fermat quotient

Type

journal article - other

Language

en

Original abstract

In this paper a certain polynomial congruence modulo a prime greater than 3 is proved, and as a consequence a congruence for the cube of the Fermat quotient to base 2 is presented in terms of simple finite sums.

Czech abstract

V tomto článku je dokázána jistá kongruence modulo prvočíslo, které je větší než 3. Jako důsledek je uvedena kongruence pro třetí mocninu Fermatova kvocientu s bazí 2 ve tvaru jednoduchých konečných součtů.

English abstract

In this paper a certain polynomial congruence modulo a prime greater than 3 is proved, and as a consequence a congruence for the cube of the Fermat quotient to base 2 is presented in terms of simple finite sums.

Keywords in English

Fermat Quotient, sums of reciprocals, antiderivatives

RIV year

2007

Released

06.02.2007

Publisher

Amer.Math.Soc.

Location

New York

Journal

INTEGERS:Electronic Journal of Combinatorial Number Theory

Volume

6

Number

A24

Pages from–to

1–12

Pages count

12

BIBTEX


@article{BUT44837,
  author="Ladislav {Skula} and Karl {Dilcher},
  title="The cube of the Fermat quotient",
  journal="INTEGERS:Electronic Journal of Combinatorial Number Theory",
  year="2007",
  volume="6",
  number="A24",
  month="February",
  pages="1--12",
  publisher="Amer.Math.Soc.",
  address="New York"
}