Výsledky vyhledávání - "Bülent Köklüce"

Evaluation of some convolution sums and representation of integers by certain quadratic forms in 12 variables

Publikováno v: International Journal of Number Theory. 13:775-799

In this paper, the convolution sums ∑i+12j=nσ(l)σ3(m), ∑3i+4j=nσ(l)σ3(m), ∑4i+3j=nσ(l)σ3(m) and ∑12i+j=nσ(l)σ3(m) are evaluated for all n ∈ ℕ, and their evaluations are used to determine the number of representation of a positive

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bc1aeda5e904eddfce8d39611608e4a5
https://doi.org/10.1142/s1793042117500415

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REPRESENTATION NUMBERS OF TWO OCTONARY QUADRATIC FORMS

Autor: Bülent Köklüce

Publikováno v: International Journal of Number Theory. :1641-1648

Let N(a1, …, a4; n) denote the number of representations of an integer n by the form [Formula: see text]. In this paper we derive formulae for N(1, 1, 1, 2; n) and N(1, 2, 2, 2; n). These formulae are given in terms of σ3(n).

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cd456037f095c8189e3ac3f8309936cf
https://doi.org/10.1142/s1793042113500486

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Cusp forms in S 6(Γ 0(23)), S 8(Γ 0(23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables

Autor: Bülent Köklüce

Publikováno v: The Ramanujan Journal. 34:187-208

In this study we find bases of S 6(Γ 0(23)), S 8(Γ 0(23)) and obtain explicit formulae for the number of representations of numbers by some quadratic forms in 12 and 16 variables that are direct sums of binary quadratic forms $F_{1}=x_{1}^{2}+x_{1}

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::857308e0b51d3053a9a60a5424d8ab35
https://doi.org/10.1007/s11139-013-9480-4

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THE REPRESENTATION NUMBERS OF CERTAIN OCTONARY QUADRATIC FORMS

Autor: Bülent Köklüce

Publikováno v: International Journal of Number Theory. :1125-1139

In this study we derive formulae for the number of representations of n by the octonary quadratic forms [Formula: see text] for any n ∈ ℕ0.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2c367354ff2858baaf9a643eb028a223
https://doi.org/10.1142/s1793042113500164

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THE REPRESENTATION NUMBERS OF THREE OCTONARY QUADRATIC FORMS

Autor: BÜLENT KÖKLÜCE

Publikováno v: International Journal of Number Theory. :505-516

In this study we use some known convolution sums to find the representation number for each of the three octonary quadratic forms [Formula: see text], [Formula: see text] and [Formula: see text].

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::146551b7d83f5e8a046897034ad423dc
https://doi.org/10.1142/s1793042112501461

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One-Dimensional Transient Dynamic Response in Functionally Graded Layered Media

Autor: Ibrahim Abu-Alshaikh, Bülent Köklüce

Publikováno v: Journal of Engineering Mathematics. 54:17-30

In this study, one-dimensional transient wave propagation in multilayered functionally graded media is investigated. The multilayered medium consists of N different layers of functionally graded materials (FGMs), i.e., it is assumed that the stiffnes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a23537b99c285e4dc0061f3bd9707417
https://doi.org/10.1007/s10665-005-7718-x

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