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pro vyhledávání: '"Gwynneth H. Coogan"'
Autor:
Gwynneth H. Coogan
Publikováno v:
The Ramanujan Journal. 10:43-50
The j-function j(z) = q−1+ 744 + 196884q + ⋅s plays an important role in many problems. In [7], Zagier, presented an interesting series of functions obtained from the j-function: j m (ζ) = (j(ζ) – 744)∨T0(m), where T0(m) is the usual m′th
Publikováno v:
Journal of Number Theory. 96:388-399
Motivated by a conjecture of Mazur, Kuwata and Wang proved that for elliptic curves E1 and E2 whose j-invariants are not simultaneously 0 or 1728, there exist infinitely many square-free integers d for which the rank of the Mordell–Weil group of th
Autor:
Ken Ono, Gwynneth H. Coogan
Publikováno v:
Proceedings of the American Mathematical Society. 131:719-724
Using a single variable theta identity, which is similar to the Jacobi Triple Product identity, we produce the generating functions for values of certain expressions of Hurwitz zeta functions at non-positive integers.
Autor:
Gwynneth H. Coogan, Ken Ono
Publikováno v:
Proceedings of the American Mathematical Society; 2002, Vol. 131 Issue 3, p719-724, 6p