Here, we determine formulae, for the numbers of representations of a positive integer by certain sextenary quadratic forms whose coefficients are 1, 2, 3 and 6.
The eta function is examined over the critical strip 0σ1and there is an investigation of the statement that all zeros of the zeta function must lie on the critical line Re(s)=1/2. A further investigation is made into...The eta function is examined over the critical strip 0σ1and there is an investigation of the statement that all zeros of the zeta function must lie on the critical line Re(s)=1/2. A further investigation is made into the claim that there are no other zeros of the zeta or eta functions within the critical strip.展开更多
文摘Here, we determine formulae, for the numbers of representations of a positive integer by certain sextenary quadratic forms whose coefficients are 1, 2, 3 and 6.
文摘The eta function is examined over the critical strip 0σ1and there is an investigation of the statement that all zeros of the zeta function must lie on the critical line Re(s)=1/2. A further investigation is made into the claim that there are no other zeros of the zeta or eta functions within the critical strip.
