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A. Uluslararası hakemli dergilerde yayımlanan makaleler :
A1. Kurt, V. ve Şimşek, Y., “On the Hermitian Matrix Inequalities,” Pure and Applied Mathematika Sciences, Vol. XXXVI, No. 1-2,
(1992), 29-32.
A2. Şimşek, Y., “ A Note on Dedekind Sums,” Bull. Cal. Math.
Soc., 85 (1993), 567-572.
A3. Şimşek, Y.,
“Theorems on Three-Term Relations For Hardy Sums”, Turkish Journal
of Mathematics, 22(2) (1998), 153-162.
A4. Şimşek, Y., “ Relations Between Theta-Functions Hardy Sums
Eisenstein and Lambert Series in the transformation formula of logng,h(z),” Journal of Number Theory, 99(2) (2003) , 338-360.
A5. Şimşek, Y.,
“On q-analogue of the twisted L-functions
and q-twisted Bernoulli numbers”, J. Korean Math. Soc., 40(6) (2003), 963-975.
A6. Şimşek Y.,
“ On twisted generalized Euler
numbers”, Bull. Korean
Math. Soc. Vol. 41(2) (2004), 299-306.
A7. Şimşek, Y.,“
Generalized Dedekind sums associated with the Abelsums and the
Eisenstein and Lambert series”,
Adv. Stud. in Contemp. Math., 9(2) (2004), 125-137.
A8. Şimşek Y and Yang, S.,“
Transformation of Four Titchmarsh-type infinite integrals and
generalized Dedekind sums associated with Lambert series”,
Adv. Stud. in Contemp. Math., 9(2) (2004), 195-202.
A9. Şimşek Y.,
“ On generalized Hardy Sums
S5(h,k)” Ukrainian Math.
J. Vol. 56(10) (2004), 1434-1440.
A10. Şimşek Y.,
“Theorems on Weierstrass P(z)
functions, Hardy Sums and Eisenstein Series”
Proc. Jangjeon Math. Soc., Vol. 7(2) (2004), 99-108.
A11. Şimşek Y., Kim T., Park D.W.,
Ro Y. S., Jang L. C., Rim S. H.,
“An explicit formula for the
Multiple Frobenius-Euler Numbers and Polynomials”,
JP Journal of Algebra Number Theory
and Applications,. 4(3) (2004), 519-529.
A12. Şimşek Y.,
“ q-Analogue of the Twisted l-Series
and q-Twisted Euler Numbers”,
Journal of Number Theory, 100(2)
(2005), 267-278.
A13. H. Sirivastava, Kim T. and
Şimşek, Y, "q-Bernoulli
numbers and polynomials associated withmultiple q-zeta functions and
basic L-series", Russian Journal of Mathematical Physics, 12(2)
(2005), 201-228 (arXiv:math.NT/0502019 v1, 1 Feb. 2005.).
A14.
Kim D., Jeon H., Jeong S and Şimşek Y.,
“ A set of cube numbers in Fp with
prime p=0(mod 3), Far East Journal of Mathematical Sciences (FJMS),
16(2) (2005), 207-216.
A15.
Şimşek Y., and Acıkgoz M.,
“Remarks on Dedekind Eta function
Thaeta functions and Eisenstein series under the Hecke operators”, Adv. Stud. in Contemp.
Math., 10(1) (2005), 15-24.
A16. Şimşek Y., Kim T. and I.-S
Pyung,., “On Barnes’
type multiple Changhee q-zeta function”,
Adv. Stud. in Contemp. Math., 10(2)
(2005), 121-129.
A17. Şimşek Y., Kim D. and S.-H Rim, “On two variable
Dirichlet’s q-L-function”,
Adv. Stud. in Contemp. Math., 10(2)
(2005), 131-142.
A18. Şimşek Y.,
“Theorems on twisted L-function and
twisted Bernoulli numbers”,
Adv. Stud. in Contemp. Math., 11(2)
(2005), 205-218.
A19. Şimşek Y., “Hardy character sums related to
Eisenstein series and theta functions”,
Adv. Stud. in Contemp. Math., 12(1)
(2006), 39-53.
A20. Şimşek Y.,
“p-adic q-higher-order Hardy-type
sums”, J. Korean Math.
Soc., 43(1) (2006),
111-131.
A21. Y. SIMSEK, “ q-Dedekind type sums related to q-zeta function
and basic L-series” J. Math. Anal. Appl. (JMAA),318(1), 333-351, 2006.
A22. Şimşek Y., “Twisted
(h,q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta
function and L-function”.
Journal of Mathematical Analysis and
Applications(JMAA),
324 (2006), no. 2,
790-804.
A23- Şimşek, Y., " Analytic continuation
of the multiple Daehee q-l-functions associatted with Daehee numbers "
with T. Kim, to appear in Russian J. Math. Phys. (2007).
A24. Simsek, Y.,
A note on the alternating sums of powers of
consecutive $q$-integers with
Kim, Taekyun;
Rim, Seog-Hoon;.
Adv. Stud.
Contemp. Math. (Kyungshang)
13 (2006), no. 2,
159-164.
A25. Y. Simsek, "A note on the sums of
powers of consecutive q-integers", with T. Kim, D. Kim and S. H. Rim,
Journal of Applicable Functional Differential Equations (JAFDE), Vol.
1 (1) Jan-June-(2006).
A26- Y. SIMSEK, “Hardy’s summation, Bose-Einstein integral and q-version
of Bose-Einstein type kernel”, with S. Yang, V. Kurt and D. Kim, Procd.
Jangjeon math. Soc., 9(1) (2006), 9-18.
A27- Y. SIMSEK,“Remarks On Reciprocity Laws of the Dedekind and
Hardy Sums”, Advanc. Stud. Contep Math., 12 (2) (2006), 237-247.
A28- Y. SIMSEK, “On p-adic twisted q-L-functions related to
generalized twisted Bernoulli numbers”, Russ. J. Math. Phys., 13(3)
(2006), 340-348.
A29- Y. SIMSEK, The behavior
of the twisted p-adic (h,q)-L-functions at s=0 , J. Korean Math.
Soc.
Vol. 44,
No.4 (2007),
915-929.
A30- Y.
SIMSEK, “On twisted q-Hurwitz
zeta function and q-two-variable L-function” to appear in
Applied Mathematics and Computation, Volume
187, Issue 1, 1 April 2007, Pages 466-473.
A31. Y.
Şimşek,
New approach to the
complete sum of products of the twisted (h, q)-Bernoulli numbers and
polynomials with Veli Kurt and Daeyoul Kim, Journal of Nonlinear
Mathematical Physics(JNMP), 14(1) (2007), 44-56.
A32. Simsek Y., An invariant p-adic q-integral associated with q-Euler numbers and
polynomials with I. Naci CANGÜL, Veli
KURT, Hong Kyung PAK, Seog-Hoon RIM, Journal of Nonlinear
Mathematical Physics(JNMP), 14(1) (2007), 8-14.
A33.
Simsek Y., Further
remarks on multiple p-adic q-L-function of two variables with M.
Cenkci and V. Kurt, Advan. Stud. Contemp. Math. 14(1) (2007),
49-68.
A34.
Y. SIMSEK,
“A note on p-adic q-Euler ” with Hacer Ozden and I. Naci Cangul,
Advan. Stud. Contemp. Math. 14(2) (2007), 233-239 arXiv:math/0702868.
A35. Y. SIMSEK, " Arithmetic of infnite product Rogers-Ramanujan continued fractions
with D. Kim, J. K. Koo”, Commun. Korean Math. Soc. 22(3) (2007),
331-351.
A36. Y. SIMSEK, Elliptic
analogue of the Hardy sums related to elliptic Bernoulli functions,
General Mathematics Vol. 15, No. 2-3 (2007), 3-23.
A37 Y. SIMSEK, Euler
polynomials associated with p-adic q-Euler measure with H. Ozden and
I. N. Cangul, General Mathematics Vol. 15, No. 2-3 (2007), 24-37.
A38. Y. SIMSEK, A
new extension of q-Euler numbers and polynomials related to their
interpolation functions, with H. Ozden, Applied
Mathematics Letters, In Press,
Accepted Manuscript, Available
online 5 November 2007.
A39. Y. SIMSEK,
On (i,q)
Bernoulli and Euler numbers, with M. Cenkci, V. Kurt and
S.H. Rim, Applied Mathematics Letters, In
Press, Corrected Proof, Available
online 11 September 2007.
A40. Y. SIMSEK,
Remarks on
sum of product of (h,q) twisted Euler polynomials and numbers,
with H. Ozden, and I. N. Cangul, to appear in Journal of Inequalities
and Applications.
A41. Y. SIMSEK, On Interpolation
functions of the twisted generalized Frobenius-Euler numbers with O.
Yurekli and V. Kurt, , Advan. Stud. Contemp. Math. 15(2) (2007),
187-194.
A42. Y. SIMSEK, On Analytic
properties and character analogs of Hardy sums, to appear in Taiwanese
Journal of Mathematics.
arXiv.org
Makaleri
1.
Y. Simsek,
Twisted Dedekind Type Sums Associated with Barnes' Type Multiple
Frobenius-Euler l-Functions with
M. Cenkci,
M. Can,
and
V. Kurt,
arXiv:0711.0579.
2.
Y. Simsek,
On q-deformed Stirling numbers,
arXiv:0711.0481.
3.
Y. Simsek,
Twisted p-adic (h,q)-L-functions,
arXiv:0711.0085.
4.
Y. Simsek,
q-Hardy-Berndt type sums associated with q-Genocchi type zeta and
l-functions,
arXiv:0710.5681.
5.
Y. Simsek,
p-adic Dedekind and Hardy-Berndt type sum related to Volkenborn
Integral on Z_p ,
arXiv:0707.3667.
6.
Y. Simsek,
Complete sums of products of (h,q)-extension of Euler numbers and
polynomials,
arXiv:0707.2849.
7.
Y. Simsek,
On p-adic twisted Euler (h,q)-l-function with
S.H. Rim,
V. Kurt,
and
T. Kim,
arXiv:math/0702310.
B. Uluslararası bilimsel toplantılarda sunulan ve
bildiri kitabında (Proceedings) basılan bildiriler :
B1. Şimşek, Y.,
“Theorems on Weierstrass p (z)
Function Hardy sums and Eisenstein series” International
Mathematical Conference VI.th Bogolubov Readings, Agust 26-30, (2003),
pp. 300.
B2. Şimşek,
Y., “On normalized
Eisenstein series and new theta functions”, The Proceedings of
the 14th International Conference of the Jangjeon Mathematical Society,
December 2003-Maysore- Hindistan (2003). Proceed. Jangjeon Math. Soc.
8(1) (2005), 25-34.
B3. Şimşek,
Y., “On Generalized q-Hardy
Character Sums”, Proceedings of The 15th International
Conference of the Jangjeon Mathematical Society, (Hapcheon-Dong, South
Korea), (August 05-07, 2004), PP. 7-23.
B4. Şimşek,
Y., “Workshop on p-adic Analysis and Special Functions” (July 14-August 14, 2004,
Kungju-South Korae).
B5. Şimşek, Y.,
“On relations between q-Dirichlet L
functions, q-Hurwitz zeta function and q-Dedekind sums”,
International Workshop on Analysis
and Its Application, (Mersin- Turkey), (September 2004).
B6. Y. Şimşek.,“Remarks
On Reciprocity Laws of the Dedekind and Hardy Sums”, The 15th
International Conference of the Jangjeon Mathematical Society Akdeniz
University, (South Korea-Turkey:Antalya), (July 04-06, 2005).
Proceed.
Of the 16th International Conference of the Jangjeon Math. Soc. 4-6
July 2005, 148-158.
B7. Şimşek, Y., "Dedekind type q-
Dahehee sums" with S.H. Rim, The 16th
International Conference of the Jangjeon Mathematical Society Akdeniz
University, (South Korea-Turkey:Antalya), (July 04-06, 2005). Proceed.
Of the 16th International Conference of the Jangjeon Math. Soc. 4-6
July 2005, 159-168.
B8. Şimşek, Y.,
“On twisted q-Hurwitz zeta function
and q-two-variable L-function,”,
International Semposium On Analytic
Function Theory, Fractional Calculus and Their Applications In Honour
of Professor H. M. Srivastava on his 65th Birth Anniversary, Victorya
University-Victorya -Canada, 22-27 August 2005.
B9. Şimşek, Y Workshop on p-adic q- Special Functions and their
applications” (January 24-February 7, 2005, Taegu-South Korae.
B10. Şimşek, Y 2005 Algebraic Geometry-Number Theory Camp February 1
(tue.)-5(Sat.), 2005, KAIST, Math. Dep. DAEJEON, S. KOREA
B11-Y. SIMSEK,” On twisted q-Bernoulli Numbers and twisted q-L-functions
“Uluslar arası sempozyum ve konferanslara eklenecek On the 17th
International Conference of the Jangjeon Mathematical Society , Daegu,
South Korea July 8-9, 2006.
B12 Şimşek Y., Generating
function of the twisted q-Bernoulli polynomials and numbers related
to their intepolation functions,
The 17th International
Conference of The Jangjeon Mathematical Society”
at Department of Mathematics, Kyungpook National University, Taegu, S.
Korea during July 2-4, 2006.
B13
Y. Simsek, Remarks on q-Barnes’s multiple zeta function and
q-Barnes multiple Bernoulli polynomials,
The 19th International
Conference of The Jangjeon Mathematical Society”
at Department of Mathematics, Bangalore University, Bangalore, INDIA
during February 22-24, 2007
B14 Şimşek Y., Workshop on p-adic analysis and its applications” 16-28 July 2007, Taegu-South Korae.
B15 Şimşek Y., On generating
functions of q-Euler numbers and Polynomials,International
Symposium on Geometric Function Theory and application, August 20-24,
2007, Kultur University Istanbul, Turkey.
B16
Y. Simsek, Elliptic analogue of the Hardy sums related to
elliptic Bernoulli functions,
International
Symposium on Complex Function Theory"
organized by "Lucian Blaga" University of Sibiu, Romania on
August
26-29, 2007.
B17
Y. Simsek, p-adic q-L-functions,
ICTAMI- International
Conference on Theory and Applications
in Mathematics and Informatics" organized by "1 Decembrie 1918"
University of Alba Iulia, "Simion Stoilow" Mathematical Institute of
the Romanian Academy, Kinki University and "Alexander the Great"
Technological Institute of Thessalonik will be held at "1 Decembrie
1918" University of Alba Iulia, Romania on August 30 - September
02, 2007.
D. Ulusal
dergilerde yayımlanan makaleler :
D1. Şimşek, Y., “Theta Fonksiyonlarının Logaritmik Dönüşümleri
Üzerine”, Mersin Üniversitesi Mühendislik ve Fen Bilimleri Dergisi,
60-66 (1988).
E.
Ulusal bilimsel
toplantılarda sunulan ve bildiri kitaplarında basılan bildiriler:
E1. Şimşek, Y. Ve Çetinkaya Y., “On P-Adic Hardy Sums”, XV.
Ulusal Matematik Sempozyumu, 4-7 Eylül 2002, Mersin
F. Katıldığı Ulusal Matematik sempozyumları :
F1. Kurt V., Şimşek, Y.,
“ Hermityen Matris Eşitsizliği ve İki Problem”, III. Ulusal
Matematik Sempozyumu, 20-24 Ağustos 1990, Van.
F2. Şimşek, Y.,
“ Kongrüans Altgruplar Üzerinde Theta Fonksiyonları”, IV. Ulusal
Matematik Sempozyumu, 2-6 Eylül 1991, Hatay.
F3. Şimşek, Y., VIII. Ulusal Matematik Sempozyumu,
19-23 Eylül 1995, Adana
F4. Şimşek, Y. Ve Taşkın C.,
“ Weierstrass P Fonksiyonun Diskriminantı ile Dedekind toplamları
arasındaki bağıntılar”, X. Ulusal Matematik Sempozyumu, 1-5
Eylül 1997, Bolu.
F5. Şimşek, Y.,
“Genelleştirilmiş O (theta) fonksiyonu ile S (h,k) Hardy Toplamları
Üzerine” , XI. Ulusal Matematik Sempozyumu, 7-11 Eylül 1998,
Isparta.
F6. Şimşek, Y.,
“The Relations Between Hardy Sums and Drichlet L-Functio and
Eisenstein Series”, XIV. Ulusal Matematik Sempozyumu, 19-21
Eylül, 2001, Eskişehir.
F7. Şimşek, Y. ve Çetinkaya Y.,
“On P-Adic Hardy Sums”, XV. Ulusal Matematik Sempozyumu, 4-7 Eylül
2002, Mersin.
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