Number Theory

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Autorentext
Dr. Attial Pethö ist Dozent für Mathematik an der Kossuth Lajos Universität in Debrecen, Ungarn.

Inhalt
The average behaviour of the number of solutions of a Diophantine equation and an averaging technique, S.D. Adhikari; Pisot numbers and greedy algorithm, S. Akiyama; upper bounds for the resultant and Diophantine applications, F. Amoroso; logarithmic forms and the abc-conjecture, a. Baker; local-global principles and linear algebraic groups, E. Bayer-Fluckiger; Diophantine approximation and quadratic fields, J. Beck; on a problem of P. Turan concerning irreducible polynomials, A. Berczes et al; on products of the terms of linear recurrences, B. Brindza et al; on the Kronecker-Gyory specialization, B. Brindza, A. Pinter; the Euclidean algorithm in cubic number fields, S. Cavallar; a problem of Diophantus and Dickson's conjecture, A. Dujella; transcendence of Jacobi's theta series and related results, D. Duverney et al; some of my new and almost new problems and results in combinatorial number theory, P. Erdos; lower bounds for resultants II, J.H. Evertse; distribution of binomial coefficients modulo p., Z.M. Franco; the distribution of the zeros of the Riemann zeta function and Baker's theorems, A. Fujii; computing power integral bases in algebraic number fields, I. Gaal; recent bounds for the solutions of decomposable form equations, K. Gyory; on a generalization of the Maillet determinant, S. Kanemitsu, T. Kuzumaki; an approximation problem concerning linear recurrences, P. Kiss; new methods in algebraic independence, M. Laurent; on the arithmetic of simplest sextic fields and related Thue equations, G. Lettl et al; algebraic constructions of lattices; isodual lattices, J. Martinet; real roots of Fibonacci-like polynomials, F. Matyas; on some modular identities, G. Melfi; complete resolution of some families of Diophantine equations, M. Mignotte; experiments on a problem of D. Shanks concerning quadratic fields, T. Nakahara; squares in binary recurrence sequences, K. Nakamula, A. Petho; algebraic curves over finite fields with many rational points, H. Niederreiter, C. Xing; Klein polyhedra for complete decomposable forms, V.I. Parusnikov; arithmetical progression formed by Lucas pseudoprimes, A. Rotkiewicz; reducibility of polynomials over Kroneckerian fields, A. Schinzel; a note on certain exponential Diophantine equations, N. Terai; the fundamental lemma of Kubilius and the model of Kubilius in number fields, J.M. Thuswaldner; Diophantine properties of digital expansions - R. Tijdenan - exponential Diophantine equations 1986-1996, R.F. Tichy; basic algorithms for elliptic curves, H.G. Zimmer. (Part contents).

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