Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I heard somewhere that the above formulation of conjecture is for predicting the exact leading term of a L-function at an integer. But i didnt find any reference about how it is stated, anyone please give me any reference or either state the conjecture precisely ,thank you

share|improve this question

1 Answer 1

up vote 2 down vote accepted

The 'Tamagawa Number Conjecture' is a bit murky. When I hear it, I think of two different things: the Bloch-Kato Conjecture, or the Birch and Swinnerton-Dyer Conjecture.

The Block-Kato Conjecture is badly named, because there are a couple different BK Conjectures on very different topics. So I have heard the one we are thinking of as the Tamagawa Number Conjecture because it deals with Tamagawa Numbers. More on this can be read, for instance, here.

The Swinnerton-Dyer Conjecture is one of the Millenium Prize problems, so lots can be read about it. But for the sake of completeness, I refer you to its wiki page and to this description by Andrew Wiles, at the Clay Institute's site. Look in particular at the first 'conjecture' of Wiles's summary.

For a general overview of the related ideas going into this conjecture, I recommend reading this abstract, or a copy of the lecture itself if you can find it (maybe not so unlikely, as Cambridge is good about those things).

share|improve this answer
1  
You are right, the "Block-Kato conjecture" is badly named ;) –  Adrián Barquero Sep 25 '11 at 16:30
    
@mixed math:but what is the Difference between both of them ,i mean BSD and Tamagawa number conjecture –  Iyengar Sep 25 '11 at 16:39

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.