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- Tatyana S Zamolodchikova, Ekaterina Smirnova, +5 authors Alan David Pemberton
- Biochemistry (Moscow)
- 2005

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. N. Andrianov
- 2008

The introductory part contains definitions and basic properties of harmonic theta series, Siegel modular forms, and Hecke operators. Then the transformation formulas are recalled, related to the action of modular substitutions and regular Hecke operators on general harmonic theta series, including specialization to the case of Maass theta series. The… (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)

- A. N. Andrianov
- 2009

Linear twistings of Siegel modular forms with Dirichlet characters are considered. It is shown that the twisting operators transform modular forms to modular forms. Commutation of twisting operators and Hecke operators is examined. It is proved that under certain conditions the spinor zeta-function of a twisted modular form can be interpreted as the… (More)

- By S. D. Ustyugov, A. N. Andrianov

One of the main problems in the physics of the Sun is the interaction between convection and magnetic fields. Convective motions in stellar envelopes span a substantial radial distance from the convectively unstable region into the adjacent stable zones and can distort the magnetic field into concentrated flux sheets and tubes in which the magnetic pressure… (More)

- A. N. Andrianov, Fedor Andrianov, FEDOR ANDRIANOV
- 2003

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.

- A. N. Andrianov, Fedor Andrianov, F. A. ANDRIANOV
- 2003

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)

- D G Miaskovskiĭ, David A. Margolin, A. N. Andrianov, Ia I Gorenshteĭn
- Stomatologii︠a︡
- 1979

- A. N. Andrianov, K. N. Efimkin, V. Y. Levashov, Irina N. Shishkova
- International Conference on Computational Science
- 2001

- A. N. Andrianov
- 2004

The explicit formulas for the transformation of theta-functions of integral positive definite quadratic forms under the action of regular Hecke operators, obtained in the author’s earlier paper (1996), are converted to transformation formulas for the theta-functions with rational characteristics (the theta-series) viewed as Siegel modular forms. As… (More)