45
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Algebraic properties of the ring of general exponential polynomials

, &
Pages 1-20 | Received 15 Sep 1987, Published online: 29 May 2007

References

  • Adler , A . 1969 . Some recursively unsolvable problems in analysis . Proc Amer Math Soc , 22 : 523 – 526 .
  • Berenstein , C.A and Dostal , M.A . 1974 . The Ritt theorem in several variables . Ark Mat , 12 : 267 – 280 .
  • Bourbaki , N . 1961 . Algèbre Commutative , Paris : Hermann . Chapters 1 and 2
  • Cassels , J.W.S . 1974 . An embedding theorem for fields . Bull Australian Math Soc , 14 : 193 – 198 .
  • Chang , C.C and Keisler , H.J . 1973 . Model Theory , Amsterdam : North Holland .
  • Chase , S.U . 1960 . Direct products of modules . Trans Amer Math Soc , 97 : 457 – 473 .
  • Van Den Dries , L . 1984 . Exponential rings exponential polynomials and exponential functions . Pacific J Math , 113 : 51 – 66 .
  • Fuchs , L . 1963 . Ordered Algebraic Systems , London : Pergamon .
  • Gourin , E . 1930 . On irreducible polynomials in several variables which become reducible when the variables are replaced by powers of themselves . Trans Amer Math Soc , 32 : 485 – 501 .
  • Harris , M.E . 1966 . Some results on coherent rings . Proc Amer Math Soc , 17 : 474 – 479 .
  • Henson , C.W and Rubel , L.A . 1984 . Some applications of Nevanlinna theory to mathematical logic identities of exponential functions . Trans Amer Math Soc , 282 : 1 – 32 . correction, 294 1986, 381
  • Laohakosol , V . 1983 . “ Some extensions of the Skolem-Mahler-Lech Theorem ” . In PhD Thesis , Urbana-Champaign : University of Illinois .
  • macintyre , A . 1984 . Notes on realo exponentiation , University of Illinois . Unpublished Lectures Notes
  • Van der Poorten , A.J and Tijdeman , R . 1975 . On common zeros of exponential polynomials . Enseignement Mathématique , 21 : 57 – 67 .
  • Ritt , J.F . 1927 . A factorization theory for functions . Trans Amer Math Soc , 29 : 584 – 596 .
  • Ritt , J.F . 1929 . Algebraic combinations of exponentials . Trans Amer Math Soc , 31 : 654 – 679 .
  • Ritt , J.F . 1929 . On the zeros of exponential polynomials . Trans Amer Math Soc , 31 : 680 – 686 .
  • Schinzel , A . 1982 . Selected Topics on Polynomials , Ann Arbor : University of Michigan Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.