Arithmetic problems concerning Cauchy's functional equation

I. J. Schoenberg

Compositio Mathematica (1964)

  • Volume: 16, page 169-175
  • ISSN: 0010-437X

How to cite


Schoenberg, I. J.. "Arithmetic problems concerning Cauchy's functional equation." Compositio Mathematica 16 (1964): 169-175. <>.

author = {Schoenberg, I. J.},
journal = {Compositio Mathematica},
keywords = {functional analysis},
language = {eng},
pages = {169-175},
publisher = {Kraus Reprint},
title = {Arithmetic problems concerning Cauchy's functional equation},
url = {},
volume = {16},
year = {1964},

AU - Schoenberg, I. J.
TI - Arithmetic problems concerning Cauchy's functional equation
JO - Compositio Mathematica
PY - 1964
PB - Kraus Reprint
VL - 16
SP - 169
EP - 175
LA - eng
KW - functional analysis
UR -
ER -


  1. A.S. Besicovitch [1] a paper to appear in the G. Pólya Anniversary Volume, December 1962. MR143742
  2. P. Erdös [2] On the distribution function of additive functions, Ann. of Math. (2), vol. 47 (1946), pp. 1-20, in particular Theorem XI on p. 17. Zbl0061.07902MR15424
  3. L. Moser and J. Lambek [3] On monotone multiplicative functions, Proc. Amer. Math. Soc., vol. 4 (1953), pp. 544-545. Zbl0050.26805MR56630
  4. CH. Pisot and I.J. Schoenberg [4] Arithmetic problems concerning Cauchy's functional equation, to appear in the Illinois J. of Math. Zbl0132.11502
  5. I.J. Schoenberg [5] On two theorems of P. Erdös and A. Renyi, Illinois J. of Math., vol. 6 (1962), pp. 53 - 58. Zbl0099.03704MR137676

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