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Grant, David R.

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Author ID: grant.david-r Recent zbMATH articles by "Grant, David R."
Published as: Grant, David; Grant, David R.; Grant, D.
Documents Indexed: 38 Publications since 1988

Publications by Year

Citations contained in zbMATH Open

27 Publications have been cited 120 times in 7 Documents Cited by Year
Formal groups in genus 2. Zbl 0702.14025
Grant, David
14
1990
Examples of torsion points on genus two curves. Zbl 1007.11038
Boxall, John; Grant, David
12
2000
A formula for the number of elliptic curves with exceptional primes. Zbl 1011.11039
Grant, David
10
2000
A generalization of a formula of Eisenstein. Zbl 0738.14019
Grant, David
9
1991
A generalization of Jacobi’s derivative formula to dimension two. Zbl 0646.14033
Grant, David
8
1988
Computing the Mordell-Weil rank of Jacobians of curves of genus two. Zbl 0790.14028
Gordon, Daniel M.; Grant, David
7
1993
On heterogeneous spaces. Zbl 0714.14021
Coombes, Kevin R.; Grant, David R.
7
1989
Space-time codes and non-associative division algebras arising from elliptic curves. Zbl 1163.17005
Deajim, Abdulaziz; Grant, David
6
2008
Units from 3- and 4-torsion on Jacobians of curves of genus 2. Zbl 0828.11033
Grant, David
5
1994
5-torsion points on curves of genus 2. Zbl 1069.14031
Boxall, John; Grant, David; Leprévost, Franck
5
2001
Duality theory for space-time codes over finite fields. Zbl 1275.94041
Grant, David; Varanasi, Mahesh K.
5
2008
One-parameter families of elliptic curves over \(\mathbb Q\) with maximal Galois representations. Zbl 1284.11090
Cojocaru, Alina-Carmen; Grant, David; Jones, Nathan
5
2011
Integer points on curves of genus 2 and their Jacobians. Zbl 0828.11032
Grant, David
3
1994
The equivalence of space-time codes and codes defined over finite fields and Galois rings. Zbl 1234.94089
Grant, David; Varanasi, Mahesh K.
3
2008
Units from 5-torsion on the Jacobian of \(y^2=x^5+1/4\) and the conjectures of Stark and Rubin. Zbl 1004.11066
Grant, David
3
1999
Formal groups of twisted multiplicative groups and \(L\)-series. Zbl 0839.11057
Childress, Nancy; Grant, David
2
1995
An explicit theorem of the square for hyperelliptic Jacobians. Zbl 1083.14029
Arledge, Jane; Grant, David
2
2001
Singular torsion points on elliptic curves. Zbl 1130.11322
Boxall, John; Grant, David
2
2003
Integral division points on curves. Zbl 1292.11072
Grant, David; Ih, Su-Ion
2
2013
On an analogue of the Lutz-Nagell theorem for hyperelliptic curves. Zbl 1310.11068
Grant, David
2
2013
Torsion on theta divisors of hyperelliptic Fermat Jacobians. Zbl 1077.11045
Grant, David
2
2004
A curve for which Coleman’s effective Chabauty bound is sharp. Zbl 0834.14015
Grant, David
1
1994
Geometric proofs of reciprocity laws. Zbl 1113.11059
Grant, David
1
2005
Theta functions and singular torsion on elliptic curves. Zbl 1195.11076
Boxall, John; Grant, David
1
2002
Some product formulas for theta functions in one and two variables. Zbl 1021.11009
Grant, David
1
2002
On the classification of 3-dimensional non-associative division algebras over \(p\)-adic fields. Zbl 1242.17006
Deajim, Abdulaziz; Grant, David
1
2011
A public key cryptosystem based on sparse polynomials. Zbl 1018.94016
Grant, D.; Krastev, K.; Lieman, D.; Shparlinski, I.
1
2000
Integral division points on curves. Zbl 1292.11072
Grant, David; Ih, Su-Ion
2
2013
On an analogue of the Lutz-Nagell theorem for hyperelliptic curves. Zbl 1310.11068
Grant, David
2
2013
One-parameter families of elliptic curves over \(\mathbb Q\) with maximal Galois representations. Zbl 1284.11090
Cojocaru, Alina-Carmen; Grant, David; Jones, Nathan
5
2011
On the classification of 3-dimensional non-associative division algebras over \(p\)-adic fields. Zbl 1242.17006
Deajim, Abdulaziz; Grant, David
1
2011
Space-time codes and non-associative division algebras arising from elliptic curves. Zbl 1163.17005
Deajim, Abdulaziz; Grant, David
6
2008
Duality theory for space-time codes over finite fields. Zbl 1275.94041
Grant, David; Varanasi, Mahesh K.
5
2008
The equivalence of space-time codes and codes defined over finite fields and Galois rings. Zbl 1234.94089
Grant, David; Varanasi, Mahesh K.
3
2008
Geometric proofs of reciprocity laws. Zbl 1113.11059
Grant, David
1
2005
Torsion on theta divisors of hyperelliptic Fermat Jacobians. Zbl 1077.11045
Grant, David
2
2004
Singular torsion points on elliptic curves. Zbl 1130.11322
Boxall, John; Grant, David
2
2003
Theta functions and singular torsion on elliptic curves. Zbl 1195.11076
Boxall, John; Grant, David
1
2002
Some product formulas for theta functions in one and two variables. Zbl 1021.11009
Grant, David
1
2002
5-torsion points on curves of genus 2. Zbl 1069.14031
Boxall, John; Grant, David; Leprévost, Franck
5
2001
An explicit theorem of the square for hyperelliptic Jacobians. Zbl 1083.14029
Arledge, Jane; Grant, David
2
2001
Examples of torsion points on genus two curves. Zbl 1007.11038
Boxall, John; Grant, David
12
2000
A formula for the number of elliptic curves with exceptional primes. Zbl 1011.11039
Grant, David
10
2000
A public key cryptosystem based on sparse polynomials. Zbl 1018.94016
Grant, D.; Krastev, K.; Lieman, D.; Shparlinski, I.
1
2000
Units from 5-torsion on the Jacobian of \(y^2=x^5+1/4\) and the conjectures of Stark and Rubin. Zbl 1004.11066
Grant, David
3
1999
Formal groups of twisted multiplicative groups and \(L\)-series. Zbl 0839.11057
Childress, Nancy; Grant, David
2
1995
Units from 3- and 4-torsion on Jacobians of curves of genus 2. Zbl 0828.11033
Grant, David
5
1994
Integer points on curves of genus 2 and their Jacobians. Zbl 0828.11032
Grant, David
3
1994
A curve for which Coleman’s effective Chabauty bound is sharp. Zbl 0834.14015
Grant, David
1
1994
Computing the Mordell-Weil rank of Jacobians of curves of genus two. Zbl 0790.14028
Gordon, Daniel M.; Grant, David
7
1993
A generalization of a formula of Eisenstein. Zbl 0738.14019
Grant, David
9
1991
Formal groups in genus 2. Zbl 0702.14025
Grant, David
14
1990
On heterogeneous spaces. Zbl 0714.14021
Coombes, Kevin R.; Grant, David R.
7
1989
A generalization of Jacobi’s derivative formula to dimension two. Zbl 0646.14033
Grant, David
8
1988

Citations by Year