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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Zeros of entire functions in several complex variables
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by Richard A. Kramer PDF
Trans. Amer. Math. Soc. 172 (1972), 143-160 Request permission

Abstract:

A geometric condition on the zero set of an entire function $f$ in ${{\mathbf {C}}^N}(N \geq 1)$ is presented which is both necessary and sufficient for $f$ to have the same zeros as some polynomial in ${{\mathbf {C}}^N}$.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 172 (1972), 143-160
  • MSC: Primary 32A15
  • DOI: https://doi.org/10.1090/S0002-9947-1972-0311932-4
  • MathSciNet review: 0311932