Exceptional zeros of p-adic L-functions over non-abelian extensions

Delbourgo, Daniel

Exceptional zeros of p-adic L-functions over non-abelian extensions

dc.contributor.author	Delbourgo, Daniel	en_NZ
dc.date.accessioned	2015-11-16T00:33:58Z
dc.date.available	2014	en_NZ
dc.date.available	2015-11-16T00:33:58Z
dc.date.issued	2014	en_NZ
dc.description.abstract	Suppose E is an elliptic curve over , and p > 3 is a split multiplicative prime for E. Let q = p be an auxiliary prime, and fix an integer m coprime to pq. We prove the generalised Mazur–Tate–Teitelbaum conjecture for E at the prime p, over number fields K ⊂ μq∞ , q∞√m such that p remains inert in K ∩ (μq∞ ) +. The proof makes use of an improved p-adic L-function, which can be associated to the Rankin convolution of two Hilbert modular forms of unequal parallel weight.	en_NZ
dc.format.mimetype	application/pdf
dc.identifier.citation	Delbourgo, D. (2014). Exceptional zeros of p-adic L-functions over non-abelian extensions. Glasgow Mathematical Journal, First View. http://doi.org/10.1017/S0017089515000245	en
dc.identifier.doi	10.1017/S0017089515000245	en_NZ
dc.identifier.issn	1469-509X	en_NZ
dc.identifier.uri	https://hdl.handle.net/10289/9749
dc.language.iso	en
dc.publisher	Cambridge University Press (CUP)	en_NZ
dc.relation.isPartOf	Glasgow Mathematical Journal	en_NZ
dc.rights.uri	The is an accepted version of an article published in the journal: Glasgow Math. © 2015 Glasgow Mathematical Journal Trust.
dc.title	Exceptional zeros of p-adic L-functions over non-abelian extensions	en_NZ
dc.type	Journal Article
pubs.begin-page	385	en_NZ
pubs.elements-id	115915
pubs.end-page	432	en_NZ
pubs.issue	02	en_NZ
pubs.notes	accepted for publication	en_NZ
pubs.organisational-group	/Waikato
pubs.organisational-group	/Waikato/FCMS
pubs.organisational-group	/Waikato/FCMS/Mathematics
pubs.publication-status	Accepted	en_NZ
pubs.volume	First View	en_NZ