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Analytic and Probabilistic Methods in Number Theory

Proceedings of the International Conference in Honour of J. Kubilius

Manstavicius, Schweiger (Herausgeber)

Buch | Hardcover
384 Seiten
1992
VSP International Science Publishers (Verlag)
978-90-6764-094-7 (ISBN)
CHF 439,95 inkl. MwSt
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This proceedings volume contains papers on probabilistic number theory, especially distribution laws for arithmetical functions. In addition, there are contributions which deal with other parts of number theory, such as Diophantine approximations, transcendental numbers and analytic number theory.

Part 1 Diophantine approximations and transcendental number theory: polynomials of minimal Diophantic relative deviations from zero on the interval, E. Aparicio Bernardo; a theorem of Gelfond via Schneider's method, P. Bundschuh; an estimation of the difference between two zeros of a polynomial, A. Dubickas; on the arithmetic properties of the values of E-functions, A.B. Shidlovskii; approximation of irrationals by m/n, satisfying f(m/n)=a, V. Stakenas. Part 2 Forms and congruences: discriminants of decomposable forms, J.H. Evertse and K. Gyory; on some entire modular forms of half integral weight on the group Gamma0(4N), G. Lomadze; on solutions of linear congruences, V.I. Nechaev. Part 3 Metric number theory: the method of trigonometric sums and lower estimates of Hausdorff dimension, V.I. Bernki and N.A. Pereverseva; the optimal zone for large-deviations of the denominators of continued fractions, G. Misevicius; ergodic properties of multi-dimensional subtractive algorithms, F. Schweiger. Part 3 Multiplicative number theory: Selberg's inequality in arithmetic progressions, C. Calderon; smoothing and inversion inequalities, A.S. Fainleib; the mean values of multiplicative functions defined on a semigroup, A. Maciulis; semigroup elements free of large prime factors, E. Manstavicius; on multiplicative functions with regularity properties, K. Nagasaka et al; on an analytic problem considered by Sierpinski and Ramanujan, A. Schinzel; distribution of prime vectors in integral lattices, M.I. Tulyaganova; multiplicative functions of special type in short intervals, P. Varbanec. Part 5 Distribution of additive functions: smoothness of the distributions of arithmetic functions, G.J. Babu; on the Erdos-Wintner theorem in Banach spaces, J. de la Cal; additive arithmetic functions and processes with independent increments, B. Grigelionis; on the modulus of continuity of the distribution of some arithmetical functions, K.H. Indlekofer and I. Katai; topics on arithmetic functions with rational arguments, Z. Kryzius; measure theory and arithmetical functions, J.L. Mauclaire; generalizations of Kubilius' class of additive functions, I.Z. Ruzsa; the multi-dimensional local theorem for additive arithmetic functions, G. Stepanauskas; the von Mises theorem in number theory, J. Siaulys; the law of large numbers in the case of shifted primes, N.M. Timofeev. Part 6 Zeta-functions and algebraic number theory: on some formulae in analytic number theory, T. Fryska; the Atkinson formula near the critical line, A. Laurincikas; large value estimates for Hecke polynomials, M. Maknys. Part 7 Computational number theory and applications: on normal bases of algebraic number fields, S.A. Stepanov and I.E. Shparlinski; number theory and number crunching, P. Zinterhof.

Erscheint lt. Verlag 1.12.1992
Reihe/Serie New Trends in Probability and Statistics ; 2
Verlagsort Zeist
Sprache englisch
Gewicht 730 g
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 90-6764-094-8 / 9067640948
ISBN-13 978-90-6764-094-7 / 9789067640947
Zustand Neuware
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