2 citations · 6 across the 24 of their papers we have counts for
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Quantum models of the Riemann zeta function, lattice spin models and algebraic models of entanglement
Nikolaj M. Glazunov
A brief overview of results concerning the connection between the Hilbert-Polya conjecture and the Riemann hypothesis about the Riemann zeta function, some new results on p-adic qu…
On optimization on ravine functions. Minkowski-Cohn moduli surface in Cohn parameterization
Nikolaj M. Glazunov
This paper presents a brief overview of ravine functions using the example of the Minkowski-Cohn moduli surface from the point of view of optimization on it. Elements of representa…
On non-Archimedean quantum mathematics and non-Archimedean (quantum) computation
Nikolaj Glazunov
We consider selected aspects of (non-Archimedean) quantum mathematics and non-Archimedean (quantum) computation.
Extremal functions on moduli spaces and applications
Nikolaj Glazunov
Our object of study is extremal functions which are defined by distance functions of convex bodies. These functions take values in the moduli spaces of algebraic and geometric obje…
On the arithmetic and algebraic properties of Minkowski balls and spheres
Nikolaj Glazunov
This paper gives a brief overview of some new work in number theory and algebra, and also studies the arithmetic and algebraic properties of Minkowski balls and spheres. The conten…
On Langlands program, global fields and shtukas
Nikolaj Glazunov
The purpose of this paper is to survey some of the important results on Langlands program, global fields, -shtukas and finite shtukas which have influenced the development of al…
On Langlands program, related representation and -shtukas
Nikolaj Glazunov
This communication is an introduction to the Langlands Program and to (-) shtukas (over algebraic curves) over function fields. Modular curves and Drinfeld (elliptic) modules an…
(-adic) -functions and (-adic) (multiple) zeta values
Nikolaj Glazunov
The article is dedicated to the memory of George Voronoi. It is concerned with (-adic) -functions (in partially (-adic) zeta functions) and cyclotomic (-adic) (multiple…
On A.V. Malyshev's approach to Minkowski's conjecture concerning the critical determinant of the region for
Nikolaj Glazunov
We present A.V. Malyshev`s approach to Minkowski`s conjecture (in Davis`s amendment) concerning the critical determinant of the region for and Malyshev`s…
Deformations and elements of deformation theory
Nikolaj Glazunov
This article consisted of an elementary introduction to deformation theory of varieties, schemes and manifolds, with some applications to local and global shtukas and fever to Newt…
Critical lattices, elliptic curves and their possible dynamics
Nikolaj Glazunov
We present a combinatorial geometry and dynamical systems framework for the investigation and proof of the Minkowski conjecture about critical determinant of the region $ |x|^p + |…
On Two Moduli Problems Concerning Number of Points and Equidistribution over Prime Finite Fields
Nikolaj Glazunov
Problems of (i) precise (exact) bound for families of hyperelliptic curves over prime finite fields and (ii) equidistribution of angles of Kloosterman sums are discussed.
On Validated Numeric of Values of Some Zeta and L-functions, and Applications
Nikolaj M. Glazunov
This paper describes some validated numerics aspects of Riemann zeta function, Dirichlet L-functions, Dedekind zeta functions and Hasse-Weil L-functions.