On integral zeroes of binary Krawtchouk polynomials

R.J. Stroeker; B.M.M. Weger, de

On integral zeroes of binary Krawtchouk polynomials

R.J. Stroeker
, B.M.M. Weger, de

Research output: Contribution to journal › Article › Academic › peer-review

4 Downloads (Pure)

Abstract

In this paper we provide complete sets of integral zeroes of the binary Krawtchouk polynomials of degree 6 and 7. The zeroes of these polynomials correspond to points on certain rational elliptic curves. Our results are obtained by applying estimates of associated linear forms in elliptic logarithms.

Original language	English
Pages (from-to)	175-186
Journal	Nieuw Archief voor Wiskunde
Volume	4/17
Issue number	2
Publication status	Published - 1999

Cite this

@article{1d8f9cff64b544bdb2f23c36592a2f8e,

title = "On integral zeroes of binary Krawtchouk polynomials",

abstract = "In this paper we provide complete sets of integral zeroes of the binary Krawtchouk polynomials of degree 6 and 7. The zeroes of these polynomials correspond to points on certain rational elliptic curves. Our results are obtained by applying estimates of associated linear forms in elliptic logarithms.",

author = "R.J. Stroeker and \{Weger, de\}, B.M.M.",

year = "1999",

language = "English",

volume = "4/17",

pages = "175--186",

journal = "Nieuw Archief voor Wiskunde",

issn = "0028-9825",

number = "2",

}

TY - JOUR

T1 - On integral zeroes of binary Krawtchouk polynomials

AU - Stroeker, R.J.

AU - Weger, de, B.M.M.

PY - 1999

Y1 - 1999

N2 - In this paper we provide complete sets of integral zeroes of the binary Krawtchouk polynomials of degree 6 and 7. The zeroes of these polynomials correspond to points on certain rational elliptic curves. Our results are obtained by applying estimates of associated linear forms in elliptic logarithms.

AB - In this paper we provide complete sets of integral zeroes of the binary Krawtchouk polynomials of degree 6 and 7. The zeroes of these polynomials correspond to points on certain rational elliptic curves. Our results are obtained by applying estimates of associated linear forms in elliptic logarithms.

M3 - Article

SN - 0028-9825

VL - 4/17

SP - 175

EP - 186

JO - Nieuw Archief voor Wiskunde

JF - Nieuw Archief voor Wiskunde

IS - 2

ER -

On integral zeroes of binary Krawtchouk polynomials

Abstract

Fingerprint

Cite this