4 citations · 5 across the 5 of their papers we have counts for
5 papers
Distribution of primes represented by polynomials and Multiple Dedekind zeta functions
Ivan Horozov, Nickola Horozov, Zouberou Sayibou
n this paper, we state several conjectures regarding distribution of primes and of pairs of primes represented by irreducible homogeneous polynomial in two variables . We f…
Cohomology of SL(3,Z) with coefficients in the standard representation
Ivan Horozov
This paper is a natural continuation of a joint paper with Bajpai, Harder and Moya Giusti \cite{BHHM}, even though it began as an answer to Goncharov's question. It that paper, we…
An Exponential Diophantine Equation - One Order Higher than Fermat's Equation
Ivan Horozov
We formulate an exponential Diophantine equation, which is is some sense one order higher that Fermat's Last Theorem. We also give three examples of solutions to this exponential D…
Iterated integrals over higher dimensional loops
Anton Deitmar, Ivan Horozov
We give a definition of higher dimensional iterated integrals based on integration over membranes. We prove basic properties of this definition and formulate a conjecture which ext…
A refinement of the Parshin symbol for surfaces
Ivan Horozov
On an algebraic curve there are Tate symbols, which satisfy Weil reciprocity law. The analogues in higher dimensions are the Parshin symbols, which satisfy Kato-Parshin reciprocity…