Partial Sum RZF Paper

25
1 2 3 –2 –1.5 –1 –0.5 0.5

description

A look at the partial sums of the riemann zeta function by brownie et al.

Transcript of Partial Sum RZF Paper

  • 12

    3

    2 1.5 1 0.5 0.5

  • 0500

    1000

    1500

    2000

    20 15 10 5

  • 0200

    400

    600

    800

    1000

    1200

    15 10 5

  • 02000

    4000

    6000

    8000

    10000

    1 0.8 0.6 0.4 0.2 0.2 0.4 0.6 0.8

  • 22.5

    3

    3.5

    1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 0

    2

    4

    6

    8

    1 0.8 0.6 0.4 0.2 0.2 0.4 0.6 0.8

    0

    2

    4

    6

    8

    10

    12

    14

    16

    18

    4 2 2 4 0

    2

    4

    6

    8

    10

    12

    14

    16

    18

  • 29

    30

    31

    32

    1 0.5 0 0.5

    23

    24

    25

    26

    27

    1 0.5 0 0.5

  • 0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    1 0.8 0.6 0.4 0.2 0.2 0.4 0.6 0.8 0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    1 0.8 0.6 0.4 0.2 0.2 0.4 0.6 0.8

  • 02

    4

    6

    8

    1.5 1 0.5 0.5 1

    1

    2

    3

    4

    5

    1.5 1 0.5 0.5 1 0

    5

    10

    15

    20

    1.5 1 0.5 0.5 1

  • 00.5 1

    1.5 2

    1.51

    0.50

    0

    0.5 1

    1.5 2

    1.51

    0.50

  • 12

    3

    2 1.5 1 0.5 0.5

    1

    2

    3

    2 1.5 1 0.5 0.5

  • 01

    2

    3

    2 1.5 1 0.5 0.5 1 0

    1

    2

    3

    2 1.5 1 0.5 0.5 1

  • 0.5

    1

    1.5

    2

    2.5

    3

    3.5

    2.5 2 1.5 1 0.5 0.5 0

    0.5

    1

    1.5

    2

    2.5

    3

    3.5

    2.5 2 1.5 1 0.5 0.5

    1.5

    1

    0.5

    0

    0.5

    1

    1.5

    3 2 1 1

    1.5

    1

    0.5

    0

    0.5

    1

    1.5

    3 2 1 1

  • 02

    4

    6

    8

    10

    12

    2 1.5 1 0.5 0.5

    1

    2

    3

    4

    5

    2 1.5 1 0.5 0.5

    3

    2

    1

    1

    2

    3

    2 1.5 1 0.5 0.5 1

    5

    10

    15

    20

    25

    30

    2.5 2 1.5 1 0.5 0.5

    2

    4

    6

    8

    10

    3 2 1 1

  • 010

    20

    30

    40

    50

    60

    5 4 3 2 1 1

    4

    2

    2

    4

    5 4 3 2 1 1