[isabelle-dev] Old_Number_Theory

[Manuel Eberl]

True, but even though I am hardly an expert in number theory, I would 
imagine that a solid foundation in analysis (especially complex 
analysis) is very helpful, if not indispensable, in the development of 
advanced number theory. (the most obvious example is the 
complex-analytic proof of PNT and the Riemann ζ function)

So I think if anyone wants to work on this in the future, I think we 
have a lot of nice building blocks available.

Cheers,

Manuel


On 18/10/16 13:27, Lawrence Paulson wrote:
> That is great news!
>
> It’s a pity that our coverage of number theory is minuscule compared 
> with what we have for analysis. I blame John Harrison :-)
>
> Larry
>
>> On 18 Oct 2016, at 12:11, Manuel Eberl <eberlm at in.tum.de 
>> <mailto:eberlm at in.tum.de>> wrote:
>>
>> I am glad to announce that as of261d42f0bfac, Old_Number_Theory is 
>> finally history.
>>
>> A lot of the proofs are still quite messy and don't take advantage of 
>> the new features we now have in Number_Theory (such as a uniform 
>> concept of ‘primes’ and ‘prime factorisations’ for both nat and int), 
>> but I do not think the work necessary to achieve that is worth it.
>>
>> The vast majority of the porting work was done by a student of ours, 
>> Jaime Mendizabal Roche, so big thanks to him. He even extended the 
>> ‘two squares’ AFP entry a bit, showing the converse direction as well.
>>
>>
>> Cheers,
>>
>> Manuel
>>
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