4 papers
Error terms for continued fractions of and
Nikita Kalinin, Takao Komatsu
Many classical identities arise from nothing more mysterious than looking at the same object in two different ways. A number, a function, or a combinatorial object may admit severa…
CayleyPy-4: AI-Holography. Towards analogs of holographic string dualities for AI tasks
A. Chervov, F. Levkovich-Maslyuk, A. Smolensky +41
This is the fourth paper in the CayleyPy project, which applies AI methods to the exploration of large graphs. In this work, we suggest the existence of a new discrete version of h…
Wolstenholme's theorem over Gaussian integers
Nikita Kalinin
This paper establishes an extension of Wolstenholme's theorem to the ring of Gaussian integers . For a prime , we prove that the sum of inverses of Gaus…
Legendre duality for certain summations over the Farey pairs
Nikita Kalinin
Each irreducible fraction corresponds to a primitive vector with positive coordinates. Such a vector can be uniquely written as the sum of two…