Arithmetics



  • 10-adic arithmetic...(2007, May-June?)

  • p-adic and Peano curves.

  • Integer points on the ellipse (21.05.2009).

  • One interesting combinatorial problem (20.02.2012).

  • The arithmetico-geometrical mean. What is it and why it is useful (Galois group lecture on 26-th April 2012).

  • On number of permutations which displace all the elements. (2012---2018).

  • Calculation of Riemann zeta-function at negative integers, or why 1+2+3+4+5+...=-1/12.(26 July 2014)

  • Lagrange interpolating polynomial and Chinese remainder theorem; points---functions duality} 10.02. 2015)

  • Some calculations about quintes in music 02.02. 2018)

  • Этот этюд послал мне Саша Боровик. 03.01. 2022)

  • 02.26. 2022) Very long time I knew about two sequences $\{5,25, 625,\dots\}$; $\{6,76, 376,\dots\}$ of numbers which obey the condition that their square is finished on them. Sasha Veselov made very beautuful comment that may be this makes the very expansive way to ptove that $10$ is not prime number... (02.26.22)