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International Conference on
Probability and Number Theory 2005
(P&NT 05)

June 20 (Mon) - June 24 (Fri), 2005

Kanazawa, Japan

The International Conference on Probability and Number Theory (P&NT 05) has successfully been held at Kanazawa Yomiuri Kaikan, located at the center of the city, close to the Kanazawa Castle Park, from June 20, 2005 to June 24, 2005.

The conference is focused on an intersection of probability theory and number theory, with both fields considered in a wide sense. The conference consists of invited talks and poster sessions.

Kanazawa is located in the central area in Japan, faced to the Japan Sea, and is regarded as one of the most beautiful cities in Japan.

  1. Photos
  2. Programme
  3. Instruction for participants
  4. General information
This conference is sponsored by the Japan Society for the Promotion of Science (JSPS).


Organizer Sugita san On behalf of participants Organizer Matsumoto san
More photos in separate web page: Click here.

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Scientific committee

Kohji Matsumoto (Nagoya University)
Hiroshi Sugita (Osaka University)

Shigeki Akiyama (Niigata University)
Shunji Ito (Kanazawa University)
Leo Murata (Meijigakuin University)
Satoshi Takanobu (Kanazawa University)

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List of invited speakers

Adamczewski, B. (CNRS, France)
Alladi, K. (U Florida, USA)
Arnoux, P. (U Mediterranee, France)
Babu, G. J. (Pennsylvania State U, USA)
Berthe, V. (CNRS, France)
Bugeaud, Y. (U Strasbourg, France)
Elliott, P. D. T. A. (U Colorado, USA)
Fujita, T. (Hitotsubashi U, Japan)
Fukuyama, K. (Kobe U, Japan)
Furstenberg, H. (Hebrew U, Israel)
Garunkstis, R. (Vilnius U, Lithuania)
Indlekofer, K.-H. (Paderborn U, Germany)
Kamae, T. (Matsuyama U, Japan)
Kaneko, H. (Science U of Tokyo, Japan)
Keane, M. (Wesleyan U, USA)
Laurincikas, A. (Vilnius U, Lithuania)
Liardet, P. (U Provence, France)
Manstavicius, E. (Vilnius U, Lithuania)
Mauclaire, J.-L. (CNRS, France)
Mishou, H. (Nagoya U, Japan)
Morita, T. (Hiroshima U, Japan)
Nagoshi, H. (Niigata U, Japan)
Nakada, H. (Keio U, Japan)
Nakaishi, K. (U Tokyo, Japan)
Pintz, J. (Renyi Inst of Math, Hungary)
Schwarz, W. (Frankfurt U, Germany)
Siegel, A. (CNRS, France)
Solomyak, B. (U Washington, USA)
Steuding, J. (U Autonoma Madrid, Spain)
Tamura, J. (Yokohama, Japan)
Winkler, R. (TU Wien, Austria)
Yasuda, K. (Keio U, Japan)
Yasutomi, S. (Suzuka Nat Coll Tech, Japan)

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- 20 (mon) 21 (tue) 22 (wed) 23 (thu) 24 (fri)
9:30-10:15 Alladi Laurincikas Arnoux 9:30-10:15 Kamae 9:30-10:15 Mauclaire
10:25-11:10 Yasuda Indlekofer Ito 10:25-11:10 Nakada 10:25-11:10 Manstavicius
11:20-11:50 Bugeaud Babu Steuding 11:20-11:50 Fukuyama 11:20-11:50 Pintz
(Lunch) - - -
13:40-14:40 Elliott Furstenberg 13:45-14:30 Solomyak 13:40-14:40 Morita
14:50-15:20 Garunkstis Kaneko 14:40-15:10 Nagoshi 14:50-15:20 Adamczewski
(Break) - -
15:50-16:20 Winkler Fujita 15:40-16:10 Berthe 15:50-16:20 Yasutomi
16:30-17:00 Nakaishi Mishou 16:20-16:50 Siegel 16:30-17:00 Keane
17:10-17:40 Tamura Liardet (Break) - 17:10-17:40 Matsumoto
- (Reception)
17:30-18:30 Schwarz -

Title of talks

June 20 (mon)
09:30-10:15 Alladi, K., Moebius function identities and inequalities, and their multiplicative and q-analogues.
10:25-11:10 Yasuda, K., Semistable processes on local fields.
11:20-11:50 Bugeaud, Y., On the Littlewood conjecture in simultaneous Diophantine approximation.
13:40-14:40 Elliott, P. D. T. A., The ramifications of a shift by 2.
14:50-15:20 Garunkstis, R., Growth and value distribution of some zeta-functions.
15:50-16:20 Winkler, R., Hartman sets, sequences, and functions.
16:30-17:00 Nakaishi, K., A dynamical approach to singular Bernoulli convolutions.
17:10-17:40 Tamura, J., A new appoach to higher dimensional continued fractions II.
June 21 (tue)
09:30-10:15 Laurincikas, A., Limit theorems for the Mellin transforms of the Riemann zeta function.
10:25-11:10 Indlekofer, K.-H., New approach to probabilistic number theory - compactifications and integration.
11:20-11:50 Babu, G. J., Weak convergence for additive functions on random partitions of an integer.
13:40-14:40 Furstenberg, H., Solving Diophantine Equations in Sets of Integers with Specified Statistical Structure.
14:50-15:20 Kaneko, H., Analysis based on function spaces on local field.
15:50-16:20 Fujita, T., Maxima in Excursions of Random Walk and Brownian Motion and their relations to Riemann's Zeta Functions.
16:30-17:00 Mishou, H., The universality of Rankin-Selberg L-functions in the level aspect.
17:10-17:40 Liardet, P., Digital sequences originated in skew products.
June 22 (wed)
09:30-10:15 Arnoux, P., Algebraic numbers and free group automorphisms.
10:25-11:10 Ito, S., Self-similar tiling from non-Pisot unimodular matrix.
11:20-11:50 Steuding, J., The Riemann zeta-function and Random Matrix Theory.
June 23 (thu)
09:30-10:15 Kamae, T., Numeration System and Geodesic Flow.
10:25-11:10 Nakada, H., On non-archimedean metric diophantine approximations.
11:20-11:50 Fukuyama, K., On the law of the iterated logarithm for gap series.
13:45-14:30 Solomyak, B., On self-affine tilings and associated dynamical systems.
14:40-15:10 Nagoshi, H., Joint universality of Lerch zeta-functions, uniform distribution and discrepancy.
15:40-16:10 Berthe, V., Finiteness conditions and tilings.
16:20-16:50 Siegel, A., Beta-numeration and Rauzy fractals for non unit Pisot numbers.
17:30-18:30 Schwarz, W., From the History of Probabilistic Number Theory.
June 24 (fri)
09:30-10:15 Mauclaire, J.-L., On some arithmetical functions.
10:25-11:10 Manstavicius, E., Influence of probabilistic number theory to combinatorics.
11:20-11:50 Pintz, J., Approximations to the Goldbach and Twin Prime Problem and Small Gaps Between Primes.
13:40-14:40 Morita, T., Renormalized Rauzy inductions.
14:50-15:20 Adamczewski, B., Abnormal real numbers: stammering and palindromy.
15:50-16:20 Yasutomi, S., Modified Jacobi-Perron Algorithm and Simultaneous Diophantine Approximation.
16:30-17:00 Keane, M., Finitary Orbit Equivalence.
17:10-17:40 Matsumoto, K., Asymptotic probability measures of Dedekind zeta-functions of non-Galois fields.

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List of poster sessions

Akiyama, S. (Niigata U, Japan)
How bad the distribution of fractional parts of (p/q)n (n=1,2,...) could be ?
Chinen, K. (Osaka Inst Tech, Japan), Murata, L. (Meijigakuin U, Japan)
On a distribution property of the residual order of a (mod p).
Ei, H. (Chuou U, Japan)
Rauzy fractals related to reducible substitutions.
Enomoto, F. (Kanazawa U, Japan)
Ah-Substitutions and Markov Partitions.
Furukado, M. (Yokohama Nat U, Japan)
Examples of self-similar tilings from non-Pisot unimodular matrices.
Hattori, T. (Tohoku U, Japan), Ochiai, H. (Nagoya U, Japan)
Scaling limit of successive approximations for w'=-w2 and its consequences on the theories of random sequential bisections and height of binary search trees.
Kamiya, Y. (Yokohama, Japan), Suzuki, M. (Nagoya U, Japan)
An attempt to interpret the Weil explicit formula from Beurling's spectral theory.
Kawahira, T. (Nagoya U, Japan)
Riemann's zeta function and Newton's method: Numerical experiments from a complex-dynamical viewpoint.
Mori, M. (Nihon U, Japan)
Low discrepancy sequences generated by Dynamical system.
Mustapha, G. (Nirwani Business Coll, Malaysia)
Ohkubo, Y. (Intl U Kagoshima, Japan)
The diaphony of a class of infinite sequences.
Okazaki, R. (Doshisha U, Japan)
On Pillai equation.
Okuyama, Y. (Kanazawa U, Japan)
Diophantine conditions in complex dynamics and ergodic thoeory.
Slezeviciene, R. (Siauliai U, Lithuania)
On the gaps of consecutive zeros of the Riemann zeta-function on the critical line.
Sugita, H. (Osaka U, Japan), Takanobu, S. (Kanazawa U, Japan)
Adelic formulation of number theoretic limit theorems.
Suzuki, M. (Nagoya U, Japan)
On the zeros of the symmetric square L-function associated with the Ramanujan delta-function.
Tachiya, Y. (Keio U, Japan)
Transcendence of the values of generalized Morse-Thue sequence.
Taya, H. (Tohoku U, Japan)
A note on the density of real quadratic fields with lambda2=mu2=nu2=0.
Terai, N. (Ashikaga Inst Tech, Japan)
On the exponential Diophantine equation ax+by=cz.
Ushiroya, N. (Wakayama Nat Coll Tech, Japan)
On a mean value of a multiplicative function of two variables.
Yamasaki, Y. (Kyushu U, Japan)
Classical and crystal limit behavior of q-zeta functions.

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Abstracts of invited talks

In separate web page: Click here.

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Instruction for participants

To those interested in attending

If you are interested in attending the conference, please contact one of the organizers, K. Matsumoto or H. Sugita.

Kohji Matsumoto (Nagoya University) kohjimat@
Hiroshi Sugita (Osaka University) sugita@

Please inform the organizers: your name, your e-mail address, affiliation and postal address, period of stay, and whether you will
  1. contribute to the poster sessions,
  2. attend the Conference dinner,
  3. join the excursion on Saturday,
(with the number of persons, if you have company on these events).

Deadline for first contact:
May 29, for overseas participants
June 3, for domestic participants

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Registration will be on June 19 (Sun), 5:00 pm - 10:00 pm, at KKR Hotel Kanazawa, which is very close to Kanazawa Yomiuri Kaikan. (
A local map, available also in pdf format, may help you.)

Conference fee is 2,000 yen (a little less than 20 US dollars), which must be payed at the registration. This fee mainly covers abstract copies, stationaries such as name tags, and snacks and soft drinks at the conference hall. Optional conference dinner and excursion are charged in addition (see below).

Participants who cannot come on June 19, please ask one of the organizers at the conference hall on arrival for registration.

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Internet facilities

Access to internet will be made available at the conference hall. Wireless LAN will be made available, and, a few sets of PCs connected to internet are planned to be placed.

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Poster sessions

Poster sessions are organized during the conference. Participants who wish to contribute to the poster sessions are asked to inform the title of the poster to the organizers (K. Matsumoto or H. Sugita) before the end of May 2005. The total area of the poster of each contribution should be at most 109 cm (3 ft 6 in) long in height and 78 cm (2 ft 7 in) wide in width. Electronic submission of the posters are not accepted; the posters should be brought by the contributers.

Hand in the poster at the registration, and it will be posted in the conference hall during the conference. (`Poster session hours' are not scheduled.)

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Conference dinner

Conference dinner will be held in the evening of June 21 (Tue), at KKR Hotel Kanazawa. The attendance at the dinner is to be reserved on registration, with 3,000 yen per person.

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An excursion is scheduled on June 25 (Sat), after the meeting, to visit some local area (Gokayama or Shirakawa-go), which is famous by traditional style houses and is registered as one of the World Heritage by UNESCO. Additional fee is necessary to attend this excursion (approximately 4,000 yen per person).

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Conference proceedings

Advanced Studies in Pure Mathematics (ASPM) has accepted to publish the conference proceedings as a volume in the series. All the registerd participants (including invited speakers and contributors to poster sessions) are invited to submit their articles in this volume.

Original papers with full proofs on the results presented in and/or closely related to the talks are welcome, as well as survey papers of related subjects. All the manuscripts are refereed.

50 free offprints are available for each contributed papers. It is also possible to order additional offprints with charge.

Preparation of Manuscripts. Manuscripts are to be prepared according to the template TeX source file below, which uses a style file aspmproc.sty provided by ASPM:

  1. Download the template TeX source file and the style file aspmproc.sty below and save them in a same directory (or folder or desktop, or wherever you work with your TeX files). (Some computers seem to try to automatically rename on downloading the files, for example, aspmproc.sty as aspmproc.sty.txt. Caution!)
  2. Modify the template file as usual to complete a manuscript.
    • Sample TeX source file, an example of a completed manuscript pnt5smp.tex
  3. Before submitting, make sure that the completed manuscript can be compiled without errors by a LaTeX2e compiler.
  4. Manuscripts are to be sent by e-mail to K. Matsumoto or H. Sugita before the end of December, 2005:

    Kohji Matsumoto (Nagoya University,
    Hiroshi Sugita (Osaka University,

    Tex, dvi, ps, or pdf formats are accepted for submission. On acceptance for publication, the author will be asked also for the TeX source file.

Update Information. (To those who had a look at the template file before 18 June, 2005.) The previous template file faithfully followed the instructions in the ASPM web page (at that point), and was consequently too restrictive about using standard packages and fonts. The organizers have made inquiry to the ASPM editorial and made sure that the packages in the \usepackage macro in the new template file linked above are actually allowed.

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General information


Inquiries are to be sent to the organizers, K. Matsumoto or H. Sugita:
Kohji Matsumoto (Nagoya University,
Hiroshi Sugita (Osaka University,

Kanazawa Yomiuri Kaikan (Conference hall)
5-30 Oote-machi, Kanazawa 920-0912
Tel: 076-233-4570

KKR Hotel Kanazawa (Registration and Reception)
2-32 Oote-machi, Kanazawa 920-0912
Tel: 076-264-3261

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  1. The nearest international airport is "Kansai international airport (KIX)" .
  2. From KIX, take JR West railways to KANAZAWA. Tickets are sold at JR West KANSAI AIRPORT station. Reserving seats (see next 3. and 4.) are recommended.
  3. From KANSAI AIRPORT station, take Limited Express train "Haruka" of JR West to SHIN-OSAKA station. (approx. 45min.).
  4. Change trains at SHIN-OSAKA station, and take Limited Express train "Raicho" or "Thunderbird" to KANAZAWA station. (approx. 2 hours and a half)
  5. For local access from JR KANAZAWA station to KKR Hotel Kanazawa, KKR Hotel Kanazawa web site has links to maps (available also in pdf formats). Taxis and buses are available (approx. 5-10 min., a little over 1,000 yen by taxi). It is also a walking distance (approx. 20-30min.).
  6. IMPORTANT. If you are planning to fly to "Tokyo Narita international airport (NRT)" instead of KIX, then change at NRT to a domestic flight to Komatsu airport, a closest domestic airport to KANAZAWA. Since, however, such flights are less frequent, please consult your travel agent beforehand to make sure that you do have a good connection. From Komatsu airport, it is easy to reach KANAZAWA by taking a highway bus. (approx. 1 hour)

Some Japanese Characters

KKR Hotel Kanazawa

Find some more Japanese characters below (in jpeg format).

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A block reservation has been made at KKR Hotel Kanazawa, where the registration is scheduled. The reserved rooms are mainly intended for the invited speakers, but there will be a limited number of SINGLE rooms, which will be spared for the participants from abroad. Consult the organizer

Kohji Matsumoto (Nagoya University)

as soon as possible, if you prefer to stay at KKR Hotel Kanazawa.

Many web sites for hotel searches seem to recommend Kanazawa Excel Hotel Tokyu, which is located in the central area of Kanazawa, fairy close to the conference hall. (Try a GOOGLE search with the keywords "kanazawa excel hotel tokyu".) As for an example of web sites for hotel searches, Rakuten travel (former or Tabi-Mado) is one of the most popular in Japan. Webmaster, however, has received information that the English version of this web sites are poor compared to the popular Japanese version. Your own favorite web sites or trustable travel agents may be the place to consult first, if you are from abroad.

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Weather in Kanazawa

Late June is in the midst of rainy season ("TSUYU") for central Japan, Kanazawa being no exception. This is the time of the year when the sun is highest in the Northern Hemisphere, the warm air from equator is steadily pushing the cool polar air north, and the stationary front, the boundary of the warm air and the cool air happens to be staying around the central Japan, causing a rather long period of rain. Rainy, humid, and warm. Typhoons are occasionally coming near Japan, causing somewhat stronger rains than otherwise, but unlikely to land on central Japan in June.

Averages of past records read around 21 ºC = 70 ºF (average), 25 ºC =77 ºF (average of daily maximum), 17 ºC = 63 ºF (average of daily minimum), humidity 80% (average), and 200 mm = 8 inches rain fall (average of June total), for June in Kanazawa. About half of the week may find rain (but not too strong in intensity).

The webmaster would bring an umbrella, would wear long sleeved shirts (partly because he would expect air conditioners to be fully operating inside the builidings, but might roll up his sleeves much of the time outside), no sweater, and make sure that his shoes do not have holes so that his socks will not get wet!

There are web sites forcasting Kanazawa's weather:, Excite weather, Weather underground, Yahoo! weather.

Note added on Jun 24, 2005. The webmaster, faithfully following his own suggestions made above on joining the meeting, experienced about 3 ºC excess in temperature (min, ave, max) and practically no rain. The webmaster as a scientist would like to point out that the BAIU-ZENSEN, the stationary front or the boundary of cold and warm air, happened to be roughly 100 km south of average position this time of year, which caused constant rain in a part of the pacific ocean, instead of in Kanazawa, and that O(102) km is too small to be predicted weeks ahead, considering the complexity (chaotic behaviors) of the Navier-Stokes non-linear partial differential equations which is thought to predict the motion of fluid.

He as a person apologizes for any inconvenience shared with himself, caused by too bold a description of Kanazawa weather above.

Note added on Jun 28, 2005. The next week of the conference, we are having typical rain in central Japan, including Kanazawa. The webmaster now really thinks that it was lucky we had no rain during the conference!

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About Kanazawa

There are a lot of interesting places to visit around Kanazawa. You may find some in
an official guide web site or Kanazawa city web site .

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pnt5.htm (Created Dec 23, 2004)