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Theorems in the additive theory of numbers

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Commentarii Mathematici Helvetici

Summary

This paper extends some earlier results on difference sets andB 2 sequences bySinger, Bose, Erdös andTuran, andChowla.

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References

  1. R. C. Bose,An affine analogue of Singer's theorem, J. Ind. Math. Soc. (new series)6 (1942), 1–15.

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  2. R. D. Carmichael,Introduction to the theory of groups of finite order, Dover publications Inc.

  3. S. Chowla,Solution of a problem of Erdös andTuran in additive number theory, Proc. Nat. Acad. Sci. India14 (1944), 1–2.

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  4. Erdös andTuran,On a problem of Sidon in additive number theory and some related problems, J. Lond. Math. Soc. (1941), 212–215.

  5. A. E. Ingham,On the difference between consecutive primes, Quarterly J. Math., Oxford series,8 (1937), 255–266.

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  6. J. Singer,A theorem in finite projective geometry and some applications to number theory, Trans. Amer. Math. Soc.43 (1938), 377–385.

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Authors and Affiliations

  1. University of North Carolina, USA

    R. C. Bose & S. Chowla

  2. University of Geneva University of Colorado, USA

    R. C. Bose & S. Chowla

Authors
  1. R. C. Bose
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  2. S. Chowla
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Additional information

This research was supported in part by the United States Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command, under Contract No. AF 49 (638)-213. Reproduction in whole or part is permitted for any purpose of the United States Government.

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Bose, R.C., Chowla, S. Theorems in the additive theory of numbers. Commentarii Mathematici Helvetici 37, 141–147 (1962). https://doi.org/10.1007/BF02566968

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  • DOI: https://doi.org/10.1007/BF02566968

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