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4 papers
Riemann Hypothesis Analogue for locally finite modules over the absolute Galois group of a finite field
Azniv Kasparian, Ivan Marinov
The article provides a sufficient condition for a locally finite module over the absolute Galois group of a finite field F to satisfy the Riemann Hypothesis Analogue with respect t…
Mac Williams identities and polarized Riemann-Roch conditions
Azniv Kasparian, Ivan Marinov
The present note establishes the equivalence of Mac Williams identities for an additive code C and its dual to Polarized Riemann-Roch Conditions on their Zeta-functions. In such a…
Duursma's reduced polynomial
Azniv Kasparian, Ivan Marinov
The weight distribution of a linear code C is put in an explicit bijective correspondence with Duursma's reduced polynomial of C. We prove that the Riemann Hypothesis Analogue for…
Cohomological restrictions on Kahler groups
Azniv Kasparian
The number of the relations of a Kahler group is bounded below by the number of the generators and some geometric invariants of the corresponding compact Kahler manifold, like the…