Andrew Walker on Thu, 06 Jun 2019 09:02:55 +0200


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Memory usage for zeta()

Using one of the latest 64 bit binaries for Windows:

E:\PrimeZeta>gp64-2-12-0.exe
                   GP/PARI CALCULATOR Version 2.12.0 (alpha)
          amd64 running mingw (x86-64/GMP-6.1.2 kernel) 64-bit version
            compiled: Jun  3 2019, gcc version 6.3.0 20170516 (GCC)
                            threading engine: single
               (readline not compiled in, extended help enabled)

                     Copyright (C) 2000-2019 The PARI Group

I've found that the memory usage for zeta() is a lot bigger than the previous version I've been using,

gp64-2-11-1.exe (also 64 bit) from 21 Nov last year.

Using the default precision, try zeta(0.5+100000.0*I) then at increasing values of the imaginary
part, looking at memory usage in the task manager.

For the latest version zeta(0.5+300000*.0*I) the usage shown gets to over 294 Mb whereas for
the earlier one it is just over 20 Mb

Is this due to the recent changes related to Bernoulli numbers?

Andrew