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### Proceedings of the Japan Academy, Ser. A, Mathematical Sciences

The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.

#### Vol. 92 No. 1 (2016)

On radial distributions of Julia sets of Newton’s method of solutions of complex differential equations
Guowei Zhang and Lianzhong Yang
Proc. Jpn. Acad., Ser. A, Vol. 92, 1-6 (2016) [Abstract and Full Text]
Schrödinger operators with $n$ positive eigenvalues: an explicit construction involving complex-valued potentials
Serge Richard, Jun Uchiyama and Tomio Umeda
Proc. Jpn. Acad., Ser. A, Vol. 92, 7-12 (2016) [Abstract and Full Text]
On log canonical rational singularities
Osamu Fujino
Proc. Jpn. Acad., Ser. A, Vol. 92, 13-18 (2016) [Abstract and Full Text]
Real abelian fields satisfying the Hilbert-Speiser condition for some small primes $p$
Humio Ichimura
Proc. Jpn. Acad., Ser. A, Vol. 92, 19-22 (2016) [Abstract and Full Text]
Non-norm-Euclidean fields in basic $\mathbf{Z}_{l}$-extensions
Kuniaki Horie and Mitsuko Horie
Proc. Jpn. Acad., Ser. A, Vol. 92, 23-26 (2016) [Abstract and Full Text]