A scattering theory for automorphic functions
A Schinzel theorem on continued fractions in function fields
A search for high rank congruent number elliptic curves.
A search for Tribonacci-Wieferich primes
Such problems as the search for Wieferich primes or Wall-Sun-Sun primes are intensively studied and often discused at present. This paper is devoted to a similar problem related to the Tribonacci numbers.
A self-indexed sequence.
A self-similar tiling generated by the minimal Pisot number
A sequence adapted from the movement of the center of mass of two planets in solar system
In this paper we derive a sequence from a movement of center of~mass of arbitrary two planets in some solar system, where the planets circle on concentric circles in a same plane. A trajectory of center of mass of the planets is discussed. A sequence of points on the trajectory is chosen. Distances of the points to the origin are calculated and a distribution function of a sequence of the distances is found.
A Sequence Has Almost Nowhere Small Discrepancy.
A sequence of binomial coefficients related to Lucas and Fibonacci numbers.
A Sequence of Exponential Numbers
A sequential Riesz-like criterion for the Riemann Hypothesis.
A series transformation formula and related polynomials.
A set of infinite measure whose ratio set does not contain a given sequence.
A set of squares without arithmetic progressions
A sextuple product identity with applications.
A sharp estimate of the number of integral points in a 4-dimensional tetrahedra.
A sharp estimate of the number of integral points in a tetrahedron.
A sharpening of the bounds for linear forms in logarithms
A sharpening of the bounds for linear forms in logarithms II
A sharpening of the bounds for linear forms in logarithms III