## On two-variable primitive $$p$$-adic $$L$$-functions.(English)Zbl 1354.11068

Summary: We construct a two variable $$p$$-adic $$L$$-function which lead to the $$p$$-adic interpolation of values of $$primitive$$ Hecke $$L$$-functions, and use it to give a modification of R. I. Yager’s theorem [Ann. Math. (2) 115, 411–449 (1982; Zbl 0496.12010)] which relate the $$p$$-adic $$L$$-function to a certain Iwasawa module.

### MSC:

 11R23 Iwasawa theory 11G40 $$L$$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture

Zbl 0496.12010
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