In the 1980’s author proved lower bounds for mean value of modulus error term prime number theorem and other important theoretic functions whose oscillation is in connection with zeros Riemann zeta function. present work a general shown simple way which gives bound mentioned as function hypothetical pole Mellin transform The conditions are amply satisfied such results recover earlier ones (even...

By Grothedieck's Anabelian conjectures, Galois representations landing in outer automorphism group of the algebraic fundamental group which are associated to hyperbolic smooth curves defined over number fields encode all arithmetic information of these curves. The goal of this paper is to develope and arithmetic teichmuller theory, by which we mean, introducing arithmetic objects summarizing th...

The biofouling affinity on different polymeric surfaces (PP, PSU, PET, PEEK) in comparison with SS 1.4301 was studied using the model bacterium E.coli K12 DSM 498. A test rig with seven identical chambers allowed investigations at different system conditions (throughputs, inclination of the heat transfer cell, etc.). The biofilm mass deposited on the polymer surfaces was several magnitudes smal...

BACKGROUND The characteristics of tissue conditioners support microorganism development that can threaten the health of the dentures user. PURPOSE The object of this study was to evaluate the effect on antimicrobial activity, roughness and wettability surface of a tissue conditioners material combined with the antimicrobial polymer poly (2-tert-butilaminoethyl) methacrylate (PTBAEMA). MATER...

A novel ultra-smoothing process for aluminum surfaces was developed using porous alumina formation and subsequent oxide dissolution. submicron-scale periodic dimpled surface with an arithmetic mean roughness of 31.5 nm prepared by anodizing in etidronic acid solution. This specimen then anodized a sodium metaborate (NaBO 2 ) solution to form unique film extremely flat barrier layer, which diffe...