The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Some Identities Involving Character Sums and their Applications


Affiliations
1 Department of Mathematics, Panjab University, Chandigarh -160014, India
     

   Subscribe/Renew Journal


§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.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 229

PDF Views: 0




  • Some Identities Involving Character Sums and their Applications

Abstract Views: 229  |  PDF Views: 0

Authors

J. C. Parnami
Department of Mathematics, Panjab University, Chandigarh -160014, India
M. K. Agrawal
Department of Mathematics, Panjab University, Chandigarh -160014, India
A. R. Rajwade
Department of Mathematics, Panjab University, Chandigarh -160014, India

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.