Talk:The Riemann zeta function and tuning: Difference between revisions
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:: On more specific points, I believe that all three derivations should be included: the streamlined derivation based on Peter Buch's work should come first, while Gene's and Battaglia's come after. I think it's in general very edifying to see multiple routes of approach to the same concept, to show that concept's naturalness, and especially in this case these different derivations reflect different things you're actually measuring for, which lead to different variants of zeta - e.g. real vs absolute - and have bearing on the choice of sigma. Speaking of which, I think that the section on the "matter of sigma" should include all its current contents (excised from Gene's derivation) ''in addition'' to other writeup (which I plan to do) on why sigma = 1 is reasonable as well. Both Gene's and Battaglia's derivations provide good insight into the subtleties of this choice and I think they have a good cause to remain on the page as a result. | :: On more specific points, I believe that all three derivations should be included: the streamlined derivation based on Peter Buch's work should come first, while Gene's and Battaglia's come after. I think it's in general very edifying to see multiple routes of approach to the same concept, to show that concept's naturalness, and especially in this case these different derivations reflect different things you're actually measuring for, which lead to different variants of zeta - e.g. real vs absolute - and have bearing on the choice of sigma. Speaking of which, I think that the section on the "matter of sigma" should include all its current contents (excised from Gene's derivation) ''in addition'' to other writeup (which I plan to do) on why sigma = 1 is reasonable as well. Both Gene's and Battaglia's derivations provide good insight into the subtleties of this choice and I think they have a good cause to remain on the page as a result. | ||
:: [[User:Lériendil|Lériendil]] ([[User talk:Lériendil|talk]]) 22:57, 14 April 2025 (UTC) | :: [[User:Lériendil|Lériendil]] ([[User talk:Lériendil|talk]]) 22:57, 14 April 2025 (UTC) | ||
::: Yeah, that's the plan. To be clear, my reasong for posting the link was asking for feedback on the writing that is there now. It's obviously a work-in-progress / uncomplete page as it stands. | |||
::: – [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 23:04, 14 April 2025 (UTC) | |||