1. zeta function at zero, at 1, at 3, particular values

    zeta function at zero, at 1, at 3, particular values

    27
    6
    2
  2. Complex contour integral: e^{-x}cos(x)/sqrt(x), e^{-x}sin(x)/sqrt(x) from 0 to infinity

    Complex contour integral: e^{-x}cos(x)/sqrt(x), e^{-x}sin(x)/sqrt(x) from 0 to infinity

    29
    4
    3
  3. Factorize a^3 + b^3 + c^3 - 3abc

    Factorize a^3 + b^3 + c^3 - 3abc

    19
    2
    1
  4. Nested radical 2: Nested radical of Ramanujan

    Nested radical 2: Nested radical of Ramanujan

    26
    8
    1
  5. Complex contour: Integral of ln(x)/(x^2+1) and ln(x)^2/(x^2+1)

    Complex contour: Integral of ln(x)/(x^2+1) and ln(x)^2/(x^2+1)

    28
    6
    1
  7. Two ways: Integral of 1/(x^2+1)^2 from 0 to infinity

    Two ways: Integral of 1/(x^2+1)^2 from 0 to infinity

    28
    6
    1
  8. Nested radical1: Nested radical of Ramanujan

    Nested radical1: Nested radical of Ramanujan

    30
    4
    2
  10. integral of t^{z-1}/(e^z-1) from 0 to infinity

    integral of t^{z-1}/(e^z-1) from 0 to infinity

    31
    4
    2
  11. Prove Method of infinite Descent : square 2 is irrational

    Prove Method of infinite Descent : square 2 is irrational

    16
    4
    2
  12. Cantor's intersection theorem Prove

    Cantor's intersection theorem Prove

    22
    3
    2
  13. Prove Method of infinite Descent : no nontrivial solutions x^2+y^2=3z^2

    Prove Method of infinite Descent : no nontrivial solutions x^2+y^2=3z^2

    22
    2
    1
  14. Prove Fermat last theorem n=4

    Prove Fermat last theorem n=4

    22
    2
    7
  15. Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

    Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

    21
    4
  16. Prove Method of infinite Descent : square k is irrational if k is not square free

    Prove Method of infinite Descent : square k is irrational if k is not square free

    14
    4
    2
  17. sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

    sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

    16
    2
    1
  18. Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

    Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

    14
    4
  19. Normal subgroup and quotient subgroup

    Normal subgroup and quotient subgroup

    20
    5
  20. There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

    There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

    21
    4
    1
  21. Plot Mcdonald Shape by function

    Plot Mcdonald Shape by function

    19
    5
  22. a_{n+2}=5a_{n+1}-6a_{n} Mathematical induction

    a_{n+2}=5a_{n+1}-6a_{n} Mathematical induction

    22
    4
    6
  23. zero morphism and kernel and cokernel

    zero morphism and kernel and cokernel

    12
    1
  25. Mathematical induction exercise: 6^n-1 is divisible by 5

    Mathematical induction exercise: 6^n-1 is divisible by 5

    13
    2