Quadratic reciprocity and the sign of the gauss sum via the finite weil representation

International Mathematics Research Notices

Volumn 2010, Issue 19, 2010, Pages 3729-3745

  Gurevich, Shamgar ^a   Hadani, Ronny ^b   Howe, Roger ^c  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^c YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77958000953     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1093/imrn/rnp242     Document Type: Article

References (10)

1. Beyl, F. R. "The Schur multiplicator of SL (2, ℤ/mℤ) and the congruence subgroup property" Mathematische Zeitschrift 191(1986):23-42.
2. Berndt, B. C., R. J. Evans, and K. S. Williams. Gauss and Jacobi Sums. Canadian Mathematical Society Series of Monographs and Advanced Texts 21. New York: Wiley-Interscience, 1998.
3. Coxeter, H. S. M., and W. O. J. Moser. Generators and Relations for Discrete Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete 14. Berlin: Springer, 1980.
4. Fulton, W., and J. Harris. Representation Theory. A First Course. Graduate Texts in Mathematics 129. Readings in Mathematics. New York: Springer, 1991.
5. Gurevich, S., and R. Hadani. "The geometric Weil representation. " Selecta Mathematica, New Series 13, no. 3(2007):465-81.
6. Gurevich, S., and R. Hadani. "Quantization of symplectic vector spaces over finite fields." Journal of Symplectic Geometry 7, no. 4(2009):475-502.
7. Howe, R. E. "On the character of Weil's representation. " Transactions of the American Mathematical Society 177(1973):287-98.
8. Ireland, K., and M. Rosen. A Classical Introduction to Modern Number Theory. Graduate Texts in Mathematics 84. New York: Springer, 1990.
9. Serre, J. P. A Course in Arithmetic. Graduate Texts in Mathematics 7. New York: Springer, 1973.
10. Weil A. "Sur certains groupes d'operateurs unitaires." Acta Mathematica 111(1964):143-211.