Volume 3, 1997, Number 4

Volume 3 ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4

Preface: Prof. Aldo Peretti
Editorial. Pages 177–178
Editorial (PDF, 181 Kb)

One extremal problem
Original research paper. Pages 179–180
Krassimir Atanassov
Full paper (PDF, 100 Kb)

A relation of modular discriminant Δ(τ)
Original research paper. Pages 181–184
Daeyeoul Kim
Full paper (PDF, 156 Kb) | Abstract

Let \Delta(\Lambda_{tau}) = \Delta(\tau} be modular discriminant and \Omega(\tau) = (2\pi)^4\eta(\tau)^8, where \eta(\tau) be Dedekind \eta-function.

(a) \Delta(\tau) = \pm \frac{1}{16}\Omega(\frac{\tau + 1}{2})\Omega(\frac{\tau}{2})( \overline{\rho}\Omega(\frac{\tau + 1}{2}) + \rho\Omega((\frac{\tau}{2})).

(b) \Delta(\tau) = \pm \left ( \frac{1}{16}\Omega(\frac{\tau + 1}{2})^2\Omega(\frac{\tau}{2})^2 - 16\frac{h_1 (\tau)^2}{ \Omega (\frac{\tau}{2}) \Omega(\frac{\tau + 1}{2})} \right ).

A note on sums of squares of integers
Original research paper. Pages 185–187
J. H. Clarke and A. G. Shannon
Full paper (PDF, 93 Kb)

The irrationality of Euler’s constant. III
Original research paper. Pages 188–193
Aldo Peretti
Full paper (PDF, 171 Kb)

About Goldbach’s problem. III
Original research paper. Pages 194–204
Aldo Peretti
Full paper (PDF, 206 Kb) | Abstract

Without any condition, is proved conjecture [A] of Hardy-Littlewood, in their paper P. N. III.

Volume 3 ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4

Comments are closed.