Proceedings of the Japan Academy

Note on Dirichlet series, X. Remark on S. Mandelbrojt's theorem

Chuji Tanaka

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 29, Number 8 (1953), 423-426.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195570554

Digital Object Identifier
doi:10.3792/pja/1195570554

Mathematical Reviews number (MathSciNet)
MR0062253

Zentralblatt MATH identifier
0052.30002

Subjects
Primary: 40.0X

Citation

Tanaka, Chuji. Note on Dirichlet series, X. Remark on S. Mandelbrojt's theorem. Proc. Japan Acad. 29 (1953), no. 8, 423--426. doi:10.3792/pja/1195570554. https://projecteuclid.org/euclid.pja/1195570554


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References

  • [1] S. Mandelbrojt: " Series lacunaires", Actualites scientifiques et industrielles, Paris, 305 (1936).
  • [2] G. Polya: "Untersuchungen uber Liicken und Singularity ten von Potenz-reihen", Math. Zeit., 29 (1929).
  • [3] J.J. Gergen-S. Mandelbrojt: "On entire functions defined by a Dirichlet series", Amer. Jour. Math., 53 (1931).
  • [4] V. Bernstein: "Legons sur les progres recents de la theorie des series de Dirichlet", Collection Borel (1933).

See also

  • Part IX: Chuji Tanaka. Note on dirichlet series, IX. Remarks on J. J. Gergen-S. Mandelbrojt's theorems. Proc. Japan Acad., Volume 28, Number 2 (1952), 73--76.
  • Part XI: Chuji Tanaka. Note on Dirichlet series, XI. On the analogy between singularities and order-curves. Proc. Japan Acad., Volume 29, Number 9 (1953), 478--481.
  • Part XII: Chuji Tanaka. Note on Dirichlet series, XII. On the analogy between singularities and order-directions, I. Proc. Japan Acad., Volume 30, Number 3 (1954), 157--159.
  • Part XIII: Chuji Tanaka. Note on Dirichlet series, XIII. On the analogy between singularities and order-directions, II. Proc. Japan Acad., Volume 30, Number 4 (1954), 257--261.