Proceedings of the Japan Academy

Note on dirichlet series, IX. Remarks on J. J. Gergen-S. Mandelbrojt's theorems

Chuji Tanaka

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Article information

Source
Proc. Japan Acad., Volume 28, Number 2 (1952), 73-76.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195571073

Digital Object Identifier
doi:10.3792/pja/1195571073

Mathematical Reviews number (MathSciNet)
MR0049365

Zentralblatt MATH identifier
0047.31401

Subjects
Primary: 40.0X

Citation

Tanaka, Chuji. Note on dirichlet series, IX. Remarks on J. J. Gergen-S. Mandelbrojt's theorems. Proc. Japan Acad. 28 (1952), no. 2, 73--76. doi:10.3792/pja/1195571073. https://projecteuclid.org/euclid.pja/1195571073


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References

  • [1] J. J. Gergen-S. Mandelbrojt: "On entire functions denned by a Dirichlet series." Amer. Jour. Math. Vol. 53 (1931).
  • [2] G. Valiron: "Theorie generale des series de Dirichlet." Memorial des sciences mathematiques, Fasc. 17 (1926).

See also

  • Part X: Chuji Tanaka. Note on Dirichlet series, X. Remark on S. Mandelbrojt's theorem. Proc. Japan Acad., Volume 29, Number 8 (1953), 423--426.
  • 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.