Let fnew be a classical newform of weight ≥2 and prime to p level. We study the arithmetic its unique p-stabilisation f when is p-irregular, that is, Hecke polynomial at admits single repeated root. In particular, we p-adic families through base-change an imaginary quadratic field F where splits, prove respective eigencurves are both Gorenstein f. use this construct two-variable L-function over...

The specializations of the motivic elliptic polylogarithm on the universal elliptic curve to the modular curve are referred to as Eisenstein classes. In this paper, we prove that the syntomic realization of the Eisenstein classes restricted to the ordinary locus of the modular curve may be expressed using p-adic Eisenstein series of negative weight, which are p-adic modular forms defined using ...

This paper brings to light a method based on Multiphase algorithm for single variable equation using Newton's correction. Newton's method is derived through the logarithmic differentiation of polynomial equation. A correction term which enhances the high speed of convergence is hereby introduced. A translation of Newton's method to Total Step and Single Step Methods (T. S. M and S. S. M) re...

 In recent years, high-rise construction has been rising. A big challenge for engineers and executives in the construction of these structures is the stability of the structures against earthquakes. And this requires the development of appropriate arrangements for structures under lateral system and are braced system. And this requires the development of appropriate arrangements for structures ...