Advanced Studies in Pure Mathematics 2007; 558 pp; hardcover Volume: 49 ISBN10: 4931469434 ISBN13: 9784931469433 List Price: US$90 Member Price: US$72 Order Code: ASPM/49
 This volume is the proceedings of the International Conference on Probability and Number Theory held at Kanazawa, Japan, in June 2005 and includes several survey articles on probabilistic number theory and research papers on various recent topics around the border area between probability theory and number theory. This volume is useful for all researchers and graduate students who are interested in probability theory and number theory. Volumes in this series are freely available electronically 5 years postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in number theory and probability. Table of Contents  B. Adamczewski and Y. Bugeaud  On the Littlewood conjecture in fields of power series
 K. Alladi and A. Berkovich  Series and polynomial representations for weighted RogersRamanujan partitions and products modulo
 G. J. Babu, E. Manstavicius, and V. Zacharovas  Limiting processes with dependent increments for measures on symmetric group of permutations
 P. Elliott  The ramifications of a shift by 2
 K. Fukuyama  On lacunary trigonometric product
 R. Garunkštis  On the Backlund equivalent for the Lindelöf hypothesis
 P. Hellekalek and P. Liardet  The dynamics associated with certain digital sequences
 K.H. Indlekofer  New approach to probabilistic number theorycompactifications and integration
 S. Ito and S.I. Yasutomi  On simultaneous Diophantine approximation to periodic points related to modified JacobiPerron algorithm
 A. Laurinčikas  Limit theorems for the Mellin transform of \(\left\vert\zeta(1/2 +it)\right\vert^2\). II
 K. Matsumoto  On the speed of convergence to limit distributions for Dedekind zetafunctions of nonGalois number fields
 J.L. Mauclaire  On \(\bold Q\)multiplicative functions having a positive uppermeanvalue
 M. Mori  Low discrepancy sequences generated by dynamical systems
 T. Morita  Renormalized Rauzy inductions
 H. Nagoshi  The universality of \(L\)functions attached to Maass forms
 Y. Ohkubo  The diaphony of a class of infinite sequences
 J. Pintz  Approximations to the Goldbach and twin prime problem and gaps between consecutive primes
 W. Schwarz  Some highlights from the history of probabilistic number theory
 R. ŠleževičienéSteuding and J. Steuding  Gaps between consecutive zeros of the zetafunction on the critical line and conjectures from random matrix theory
 B. Solomyak  Eigenfunctions for substitution tiling systems
 H. Sugita and S. Takanobu  The probability of two \(\mathbb{F}_q\)polynomials to be coprime
 M. Suzuki  An analogue of the ChowlaSelberg formula for several automorphic \(L\)functions
 N. Ushiroya  On a mean value of a multiplicative function of two variables
 R. Winkler  Hartman sets, functions and sequencesa survey
 Y. Yamasaki  Integral representations of \(q\)analogues of the Barnes multiple zeta functions
