Some Identities Involving Character Sums and their Applications

Jump To References Section

Authors

  • Department of Mathematics, Panjab University, Chandigarh -160014 ,IN
  • Department of Mathematics, Panjab University, Chandigarh -160014 ,IN
  • Department of Mathematics, Panjab University, Chandigarh -160014 ,IN

Abstract

§1. The identities. It is well known [8], that if the two elliptic curves y2=f(x) and y2= g(x), defined over the integers Z are isogenous, then for all primes p # 2,3 and not dividing the discriminant of either, the character sums ∑ (f(x)/p) and ∑(g(x)/p) are equal, where (./p) is the Legendre symbol.

Downloads

Download data is not yet available.

Published

1989-12-01

How to Cite

Parnami, J. C., Agrawal, M. K., & Rajwade, A. R. (1989). Some Identities Involving Character Sums and their Applications. The Journal of the Indian Mathematical Society, 54(1-4), 125–132. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/21879