English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Let  p  be an odd prime. Letf1{f_{1}}andf2{f_{2}}be weight 2 cuspidal Hecke eigenforms with isomorphic residual Galois representations at  p . Greenberg–Vatsal and Emerton–Pollack–Weston showed that if  p  is a good ordinary prime for the two forms, the Iwasawa invariants of their  p -primary Selmer groups and  p -adic  L -functions over the cyclotomicℤp{\mathbb{Z}_{p}}-extension ofℚ{\mathbb{Q}}are closely related. The goal of this article is to generalize these results to the anticyclotomic setting. More precisely, let  K  be an imaginary quadratic field where  p  splits. Suppose that the generalized Heegner hypothesis holds with respect to both(f1,K){(f_{1},K)}and(f2,K){(f_{2},K)}. We study relations between the Iwasawa invariants of the BDP Selmer groups and the BDP  p -adic  L -functions off1{f_{1}}andf2{f_{2}}.

On the Iwasawa invariants of BDP Selmer groups and BDP p -adic L -functions