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math.NT2008
Cup products and L-values of cusp forms
Romyar T. Sharifi
In this note, we describe a conjecture, that, for an odd prime p, relates special values of a cup product pairing on cyclotomic p-units in the pth cyclotomic field to the L-values…
math.NT2008★ 1 cited
On Galois groups of unramified pro-p extensions
Romyar T. Sharifi
Let p be an odd prime satisfying Vandiver's conjecture. We consider two objects, the Galois group X of the maximal unramified abelian pro-p extension of the compositum of all Z_p-e…
math.NT2004
On the failure of pseudo-nullity of Iwasawa modules
Yoshitaka Hachimori, Romyar Sharifi
We consider the family of CM-fields which are pro-p p-adic Lie extensions of number fields of dimension at least two, which contain the cyclotomic Z_p-extension, and which are rami…