On the sum of squares of the coefficients of Bloch functions

In this article several types of inequalities for weighted sums of the moduli of Taylor coefficients for Bloch functions are provedComment: 13 page

Estimates of LpL_p norms for sums of positive functions

We present new inequalities of $L_p$ norms for sums of positive functions. These inequalities are useful for investigation of convergence of simple partial fractions in $L_p(\mathbb{R})$

Uzbek mythology and shamanism

There is a lot of debate about the myth, its specificity, and essence of the meaning of this term. The article contains information about various doctrines. And under the influence of these teachings we can see that the classification of myths has taken place. The well-known Uzbek folklorist M. Juraev emphasized that the myth was the first conscious notion of the occurrence of natural phenomena of our ancient ancestors [10.p.12.]

Optimal colliding energy for the synthesis of superheavy element ZZ=119

The evaporation residue (ER) cross section of 3n and 4n channels related to the synthesis of superheavy element (SHE) with the charge number $Z=119$ in the $^{51}$V+$^{248}$Cm reaction has been calculated by the dinuclear system (DNS) model as a sum of the partial cross sections of the corresponding channels. The angular momentum distribution of the compound nucleus is estimated by the dynamical trajectory calculations of the capture probability which is considered as the DNS formation probability. The fusion probability decreases by the increase of the DNS angular momentum due to its influence on the intrinsic fusion barrier $B_{\rm fus}^*$. The range $\alpha_2=60^{\circ} \div 70^{\circ}$ of the orientation angle of the axial symmetry axis of the deformed target nucleus $^{248}$Cm is favorable for the formation of the compound nucleus. The fusion probability decreases at around $\alpha_2=90^{\circ}$ since the number of the partial waves contributing to the capture decreases. Therefore, it is important to calculate the capture cross section dynamically. The 4n channel cross section of the SHE synthesis is larger than the 3n channel cross section maximum value of the ER cross section is 12.3 fb at $E_{\rm c.m.}$=232 MeV.Comment: 9 pages, 8 figures, 3 tables. arXiv admin note: text overlap with arXiv:2111.0286