edited by Shigeki Akiyama (Niigata University, Japan), Kohji Matsumoto (Nagoya University, Japan), Leo Murata (Meijigakuin University, Japan), & Hiroshi Sugita (Osaka University, Japan)

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.

Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

• On the Littlewood Conjecture in Fields of Power Series (B Adamczewski & Y Bugeaud)
• Series and Polynomial Representations for Weighted Rogers-Ramanujan Partitions and Products Modulo 6 (K Alladi & A Berkovich)
• Limiting Processes with Dependent Increments for Measures on Symmetric Group of Permutations (G J Babu, E Manstavičius & V Zacharovas)
• The Ramifications of a Shift by 2 (P Elliott)
• On Lacunary Trigonometric Product (K Fukuyama)
• On the Backlund Equivalent for the Lindelöf Hypothesis (R Garunkštis)
• The Dynamics Associated with Certain Digital Sequences (P Hellekalek & P Liardet)
• New Approach to Probabilistic Number Theory — Compactifications and Integration (K-H Indlekofer)
• On Simultaneous Diophantine Approximation to Periodic Points Related to Modified Jacobi–Perron Algorithm (S Ito & S-I Yasutomi)
• Limit Theorems for the Mellin Transform of ∣ζ(½+it)∣². II (A Laurinčikas)
• On the Speed of Convergence to Limit Distributions for Dedekind Zeta-Functions of Non-Galois Number Fields (K Matsumoto)
• On Q-Multiplicative Functions having a Positive Upper-Meanvalue (J-L Mauclaire)
• Low Discrepancy Sequences Generated by Dynamical Systems (M Mori)
• Renormalized Rauzy Inductions (T Morita)
• The Universality of L-Functions Attached to Maass Forms (H Nagoshi)
• The Diaphony of a Class of Infinite Sequences (Y Ohkubo)
• Approximations to the Goldbach and Twin Prime Problem and Gaps Between Consecutive Primes (J Pintz)
• Some Highlights from the History of Probabilistic Number Theory (W Schwarz)
• Gaps between Consecutive Zeros of the Zeta-Function on the Critical Line and Conjectures from Random Matrix Theory (R Šleževičienė-Steuding & J Steuding)
• Eigenfunctions for Substitution Tiling Systems (B Solomyak)
• The Probability of Two 𝔽_q-Polynomials to be Coprime (H Sugita & S Takanobu)
• An Analogue of the Chowla–Selberg Formula for Several Automorphic L-Functions (M Suzuki)
• On a Mean Value of a Multiplicative Function of Two Variables (N Ushiroya)
• Hartman Sets, Functions and Sequences — A Survey (R Winkler)
• Integral Representations of q-Analogues of the Barnes Multiple Zeta Functions (Y Yamasaki)