Geodesic
On the convergence of iterations for a method of solution of discrete logarithm representation problem by means of rational approximations
Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 4, pp. 111-125 
V. E. Tarakanov. On the convergence of iterations for a method of solution of discrete logarithm representation problem by means of rational approximations. Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 4, pp. 111-125. http://geodesic.mathdoc.fr/item/MVK_2010_1_4_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper contains partial justification of author's method permitting to transform a pair of congruences so that coefficients in these congruences became smaller. It is supposed that this method may be used in a new approach to the discrete logarithm problem.

[1] Khinchin A. Ya., Tsepnye drobi, ONTI, NKTM, M., 1935

[2] Tarakanov V. E., “Novye serii ratsionalnykh approksimatsii i nekotorye ikh primeneniya”, Matem. zametki, 76:2 (2004), 237–257 | MR | Zbl

[3] Tarakanov V. E., “Ob odnom podkhode k resheniyu zadachi diskretnogo logarifmirovaniya s pomoschyu ratsionalnykh approksimatsii”, Trudy po diskretnoi matematike, 10, 2007, 301–314

[4] Tarakanov V. E., “K resheniyu zadachi predstavleniya diskretnogo logarifma chisla v vide summy logarifmov malykh prostykh chisel s pomoschyu ratsionalnykh approksimatsii”, Trudy po diskretnoi matematike, 11, no. 2, 2008, 192–206