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Irreducible Values of Polynomials: A Non-Analogy

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Number Fields and Function Fields—Two Parallel Worlds

Part of the book series: Progress in Mathematics ((PM,volume 239))

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References

  1. B. Conrad, K. Conrad, and R. Gross, Irreducible specialization in genus 0, submitted.

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  2. B. Conrad, K. Conrad, and H. A. Helfgott, Root numbers and ranks in positive characteristic, Adv. Math., to appear.

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  3. A. Granville, ABC allows us to count squarefrees, Internat. Math. Res. Notices, 19 (1998), 991–1009.

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  4. H. A. Helfgott, Root Numbers and the Parity Problem, Ph.D. thesis, Princeton University, Princeton, NJ, 2003.

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  5. B. Poonen, Squarefree values of multivariable polynomials, Duke Math. J., 118 (2003), 353–373.

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  6. H. N. Shapiro, Some assertions equivalent to the prime number theorem for arithmetic progressions, Comm. Pure Appl. Math., 2 (1949), 293–308.

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  7. R. G. Swan, Factorization of polynomials over finite fields, Pacific J. Math., 12 (1962), 1099–1106.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Connecticut, Storrs, CT, 06269-3009, USA

    Keith Conrad

Authors
  1. Keith Conrad
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Editor information

Editors and Affiliations

  1. Korteweg-de Vries Instituut, Universiteit van Amsterdam, 1018 TV, Amsterdam, The Netherlands

    Gerard van der Geer  & Ben Moonen  & 

  2. Dipartimento di Matematica, Università di Roma “Tor Vergata”, I-00133, Roma, Italy

    René Schoof

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© 2005 Birkhäuser Boston

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Conrad, K. (2005). Irreducible Values of Polynomials: A Non-Analogy. In: van der Geer, G., Moonen, B., Schoof, R. (eds) Number Fields and Function Fields—Two Parallel Worlds. Progress in Mathematics, vol 239. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4447-4_5

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