n379026SE Academic Article uri icon

abstract

  • We give new proofs of two basic results in number theory: the law of quadratic reciprocity and the sign of the Gauss sum. We show that these results are encoded in the relation between the discrete Fourier transform and the action of the Weyl element in the Weil representation modulo p, q, and pq. 2010 The Author. Published by Oxford University Press. All rights reserved.

published proceedings

  • International Mathematics Research Notices

author list (cited authors)

  • Gurevich, S., Hadani, R., & Howe, R.

publication date

  • January 1, 2010 11:11 AM