IIT JEE , AIEEE Forum - Mathematics , Algebra

kghedriu

Hiee evryone......

please contribute any important identities.....which are new or imp...

m starting from the below post......

kghedriu

FIBONACCI IDENTITY:

Since

			(1)
			(2)

it follows that

			(3)
			(4)

This identity implies the two-dimensional Cauchy's identity.

Euler-Four Square Identity:

The amazing polynomial identity

is called as euler-four square identity

Lebesgue identity:

The following algebraic identity is called as Lebesgue's identity

Riemann Zeta function zeroes

Zeros of the Riemann zeta function

come in two different types. So-called "trivial zeros" occur at all negative even integers

, -4, -6, ..., and "nontrivial zeros" occur at certain values of

satisfying

(1)

for

in the " critical strip"

. In general, a nontrivial zero of

is denoted

, and the

th nontrivial zero with

is commonly denoted

(Brent 1979; Edwards 2001, p. 43), with the corresponding value of

being called

.

subs

thnx man....

ur pleaguristic post which u picked up from mathematica really helped!!