A. N. Andrianov

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Mammalian serine proteases such as the chromosome 14 (Homo sapiens, Mus musculus) located granzymes, chymases, cathepsin G, and related enzymes including duodenase collectively represent a special group within the chymotrypsin family which we refer to here as “granases”. Enzymes of this group have lost the ancient active-site disulfide bond Cys191-Cys220(More)
A . — The introduction contains an historical survey of the transformation theory of theta functions and theta series of integral quadratic forms under Hecke operators. In the main part the explicit formulas are deduced which express images under Hecke operators of general vector-valued theta functions with (pluri)harmonic coefficients of integral(More)
Invariant subspaces and eigenfunctions for regular Hecke operators actinng on spaces spanned by products of even number of Igusa theta constants with rational characteristics are constructed. For some of the eigenfunctions of genuses g = 1 and 2, the corresponding zeta functions of Hecke and Andrianov are explicitely calculated.
We derive explicit formulas for the images of products of Igusa theta constants with rational characteristics under the action of regular Hecke operators. In particular, we prove that when the class number of the sum of 2k squares is one, images of products of 2k Igusa theta constants with rational characteristics under the action of regular Hecke operators(More)