On some entire modular forms of an integral weight for the congruence subgroup .

Lomadze, G.

Displaying similar documents to “On some entire modular forms of an integral weight for the congruence subgroup $Γ_{0} (4 N)$ .”

On the number of representations of integers by some quadratic forms in ten variables.

Lomadze, G. (1995)

Georgian Mathematical Journal

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Summation of singular series corresponding to representations of numbers by some quadratic forms in twelve variables.

Lomadze, G. (1998)

Georgian Mathematical Journal

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On the number of representations of positive integers by the quadratic form $x_{1}^{2} + \dots + x_{8}^{2} + 4 x_{9}^{2}$ .

Lomadze, G. (2001)

Georgian Mathematical Journal

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On some entire modular forms of weights 5 and 6 for the congruence group $Γ_{0} (4 N)$ .

Lomadze, G. (1994)

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On the parity of generalized partition functions, III

Fethi Ben Saïd, Jean-Louis Nicolas, Ahlem Zekraoui (2010)

Journal de Théorie des Nombres de Bordeaux

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Improving on some results of J.-L. Nicolas [], the elements of the set $𝒜 = 𝒜 (1 + z + z^{3} + z^{4} + z^{5})$ , for which the partition function $p (𝒜, n)$ (i.e. the number of partitions of $n$ with parts in $𝒜$ ) is even for all $n \geq 6$ are determined. An asymptotic estimate to the counting function of this set is also given.