User:Contribution/327ed7: Difference between revisions

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== Theory ==

327ed7 is related to [[695zpi no-2 no-3 no-5 analogue]].

[[695zpi]] sets a height record on the Riemann zeta function with primes 2, 3 and 5 removed.

There is no better peak until the [[2485zpi no-2 no-3 no-5 analogue]], related to 934ed7.

5.50170634367309287643484991017769754899729226704541986574311048539416

327.005976583980785662359711182151706915324382836632556050595015540

5.6157930141135163017766685402444293609627477857549470376596348292657

933.950702612953471546210854419427367873650944163629066387540013694

== Harmonics ==

{{Harmonics in cet|10.3022198974590976419888782283736910408845013796922597566139145837442966930|columns=15|start=1|title=Approximation of harmonics in 327ed7}}

{{Harmonics in cet|10.3022198974590976419888782283736910408845013796922597566139145837442966930|columns=16|start=16|title=Approximation of harmonics in 327ed7}}

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In 327ed7, the following harmonics are pretty good (less than 1.1 cent error): 1, 4, 6, 7, 10, 11, 13, 15, 16, 17, 23, 24, 25, 28, 31, 40, 41, 42, 43, 44, 47, 49, 52, 60, 66, 68, 70, 73, 77, 91, 96, 105, 112, 114, 119, 121, 124, 127, 130, 134, 138, 143, 150, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 187, 188, 195, 196, 202, 208, 213, 217, 233, 240, 243

=== Riemann zeta ===

327ed7 has an exceptionally strong [[The Riemann zeta function and tuning#Removing primes|no-2 no-3 no-5 zeta peak]].

@@ Line 1: / Line 1: @@
+{{Infobox ET|debug=1}}
+{{ED intro}}
+== Theory ==
+ed7 is related to [[695zpi no-2 no-3 no-5 analogue]].
+[[695zpi]] sets a height record on the Riemann zeta function with primes 2, 3 and 5 removed.
+There is no better peak until the [[2485zpi no-2 no-3 no-5 analogue]], related to 934ed7.
+.50170634367309287643484991017769754899729226704541986574311048539416
+.005976583980785662359711182151706915324382836632556050595015540
+.6157930141135163017766685402444293609627477857549470376596348292657
+.950702612953471546210854419427367873650944163629066387540013694
+== Harmonics ==
 {{Harmonics in cet|10.3022198974590976419888782283736910408845013796922597566139145837442966930|columns=15|start=1|title=Approximation of harmonics in 327ed7}}
 {{Harmonics in cet|10.3022198974590976419888782283736910408845013796922597566139145837442966930|columns=16|start=16|title=Approximation of harmonics in 327ed7}}
@@ Line 5: / Line 23: @@
 In 327ed7, the following harmonics are pretty good (less than 1.1 cent error): 1, 4, 6, 7, 10, 11, 13, 15, 16, 17, 23, 24, 25, 28, 31, 40, 41, 42, 43, 44, 47, 49, 52, 60, 66, 68, 70, 73, 77, 91, 96, 105, 112, 114, 119, 121, 124, 127, 130, 134, 138, 143, 150, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 187, 188, 195, 196, 202, 208, 213, 217, 233, 240, 243
+=== Riemann zeta ===
+ed7 has an exceptionally strong [[The Riemann zeta function and tuning#Removing primes|no-2 no-3 no-5 zeta peak]].