we consider the coupled system$f(x,y)=g(x,y)=0$,where$$f(x, y)=bs 0 {m_1}   a_k(y)x^{m_1-k}mbox{ and } g(x, y)=bs 0 {m_2} b_k(y)x^{m_2-k}$$with entire functions $a_k(y), b_k(y)$.we    derive a priory estimates  for the sums of the rootsof the considered system andfor the counting function of  roots.

nonexchangeable soil-k release rate can significantly affect k dynamics and it's bioavailability during plant growth. in this study, twelve soil samples taken from different wheat cropping regions of iran were incubated with nabph4 to (i) investigate the kinetics of nonexchangeable k release and (ii) to compare the ability of various kinetic equations (zero-, first- and second-order, parab...

in the present article, we propose the $(p,q)$variant of genuine baskakov durrmeyer operators. we obtain moments and establish some directresults, which include weighted approximation and results in terms of modulus of continuity of second order.

We generalize to higher algebraic $K$-theory an identity (originally due Milnor) that relates the Reidemeister torsion of infinite cyclic cover its Lefschetz zeta function. Our involves a invariant, endomorphism torsion, parametrized family endomorphisms as well function such family. also exhibit several examples families having non-trivial torsion.