**24**(1997)

ISSN 1787-5021 (Print)

ISSN 1787-6117 (Online)

## Editorial Board:Péter Kiss, János Rimán ## Technical Editor:Tünde Szabó, Tibor Tómács |

## Content

### Research papers:

A characterization of the identity function

by Bui Minh Phong

Pages: 3-9

The generalization of Pascal’s triangle from algebraic point of view

by Gábor Kallós

Pages: 11-18

On some connections between Legendre symbols and continued fractions

by Aleksander Grytczuk

Pages: 19-21

Remark on Ankeny, Artin and Chowla conjecture

by Aleksander Grytczuk

Pages: 23-28

Some congruences concerning second order linear recurrences

by James P. Jones, Péter Kiss

Pages: 29-33

Pure powers in recurrence sequences

by Kálmán Liptai, Tibor Tómács

Pages: 35-40

A generalization of an approximation problem concerning linear recurrences

by Béla Zay

Pages: 41-45

A note on the products of the terms of linear recurrences

by László Szalay

Pages: 47-53

The asymptotic behavior of the real roots of Fibonacci-like polynomials

by Ferenc Mátyás

Pages: 55-61

A generalization of two combinatorial identities (in Hungarian)

by Fehér Zoltán

Pages: 63-66

Independent intersection systems II. (in Hungarian)

by Róka Sándor

Pages: 67-73

Residual Lie nilpotence of the augmentation ideal

by Bertalan Király

Pages: 75-88

Unitary subgroup of the Sylow 2-subgroup of the group of normalized units in an infinite commutatuve group ring

by Attila Szakács

Pages: 89-97

Free-form curve design by neural networks

by Miklós Hoffmann, Lajos Várady

Pages: 99-104

On the Fejér kernel functions with respect to the Walsh-Paley system

by György Gát

Pages: 105-110

On the certain subsets of the space of metrics

by S. Čeretková, J. Fulier, J. T. Tóth

Pages: 111-115

General solution of the differential equation *y’’(x) - (y’(x)) ^{2} + x^{2}e^{y(x)} = 0*

by Krystyna Grytczuk

Pages: 117-119

### Methodological papers:

The motivation system of the mathematics learning (in Hungarian)

by Orosz Gyuláné

Pages: 123-129

Vírusok a tanulók matematikai gondolkodásában (in Hungarian)

by Szilák Aladárné

Pages: 131-136