What problems are easier assuming zeros of a zeta function don’t behave as we expect?

Asked Aug 16 '20 at 07:15

Active Aug 16 '20 at 17:43

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What are some examples of problems which are easier to solve assuming zeros of zeta functions lie off the critical line or do not have expected vertical distribution.

There are some very well known ones such as oscillations in error terms in PNT or using Landau-Siegel zeros to construct sieve weights. What else is out there?

edited Aug 16 '20 at 17:43

asked Aug 16 '20 at 07:15

5

See https://mathoverflow.net/questions/125276/good-uses-of-siegel-zeros – KConrad Aug 16 '20 at 09:06
Thanks for this, please see the edit – Aug 16 '20 at 17:43

What problems are easier assuming zeros of a zeta function don’t behave as we expect?

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