Article
Licensed
Unlicensed
Requires Authentication
Jacobsthal identity for
-
Ki-ichiro Hashimoto
,
Ling Long
Published/Copyright:
November 3, 2012
Abstract.
Let p be a prime congruent to 1 or 3 modulo 8
so that the equation 
is solvable in integers. In this
paper, we obtain closed-form expressions for a and b in
terms of Jacobsthal sums. This is analogous to a classical
identity of Jacobsthal.
Received: 2010-05-31
Published Online: 2012-11-03
Published in Print: 2012-11-01
© 2012 by Walter de Gruyter Berlin Boston
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Masthead
- Generalized pseudohermitian manifolds
- Loop space homology associated with the mod 2 Dickson invariants
- Interacting superprocesses with discontinuous spatial motion
- Jacobsthal identity for
- Regularized theta lift and formulas of Katok–Sarnak type
- Holomorphic extensions associated with series expansions
- Stone duality for real-valued multisets
- Corrigendum: Some characterizations of finite groups in which semipermutability is a transitive relation [Forum Math.22 (2010), 855–862]
Articles in the same Issue
- Masthead
- Generalized pseudohermitian manifolds
- Loop space homology associated with the mod 2 Dickson invariants
- Interacting superprocesses with discontinuous spatial motion
- Jacobsthal identity for
- Regularized theta lift and formulas of Katok–Sarnak type
- Holomorphic extensions associated with series expansions
- Stone duality for real-valued multisets
- Corrigendum: Some characterizations of finite groups in which semipermutability is a transitive relation [Forum Math.22 (2010), 855–862]
