Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 56-59
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E. A. Ulanskii. Linear independence of values of Lerch functions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 56-59. http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a10/
@article{VMUMM_2009_2_a10,
author = {E. A. Ulanskii},
title = {Linear independence of values of {Lerch} functions},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {56--59},
year = {2009},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a10/}
}
TY - JOUR
AU - E. A. Ulanskii
TI - Linear independence of values of Lerch functions
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2009
SP - 56
EP - 59
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a10/
LA - ru
ID - VMUMM_2009_2_a10
ER -
%0 Journal Article
%A E. A. Ulanskii
%T Linear independence of values of Lerch functions
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2009
%P 56-59
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a10/
%G ru
%F VMUMM_2009_2_a10
The number of linearly independent numbers among $1,\Phi _1\left( z,\frac{p}{q}\right),\ldots,\Phi _a\left( z,\frac{p}{q}\right)$ is estimated depending on a natural number $a$, where $\Phi _s \left(z,\frac{p}{q}\right),\ s=1,2,\ldots$, are Lerch functions.
