CURRICULUM VITAE

 

YILMAZ SIMSEK

Current Adresses

AKDENIZ UNIVERSITY

 FACULTY OF ART AND SCIENCE

 DEPARTMENT OF MATHEMATICS

 07058  ANTALYA

TURKEY

           

Tel: ++90 242 310 23 43

           

Fax:+ +90242227 89 11

 

E-mail: ysimsek@akdeniz.edu.tr

yilmazsimsek@hotmail.com

simsekyil63@yahoo.com

Personal Information

Date of Birth: 25 .10. 1963

Citizenship: Turkey

Education:

PhD. Cukurova University (Adana-Turkey)-1993.

“Dedekind ve Hardy Toplamlarının Genelleştirilmesi (Generalized Dedekind and Hardy sums)”

B.Sc. Cukurova University (Adana-Turkey)-1990.

“Hermityen Matris Eşitsizlikleri (Hermityen Matrix Inequalities)”

Employment

Member of Mathematics of the Faculty of Science, University of Akdeniz

 

 

 
Teaching

I have taught Mathematics at Akdeniz University since 2005. I taught Mathematics at Mersin University since 1993-2005 and at Akdeniz University since 2005. Courses I taught include all undergraduate Mathematics courses, Calculus, Statistics and Probability, Real Analysis, Measure Theory, Komplex Analysis.

Courses I taught include graduate Mathematics courses, Theory of Elliptic Functions, Theory of Modular Forms, Theory of Modular group, Theory of Theta functions.

Current Research Interests:

  • Real and Complex Analysis
  • Special Functions
  • Fractional Calculus and Its Applications
  • Integral Equations and Transforms
  • q-Series and q-Polynomials
  • Analytic Number Theory
  • P-adic analysis
  • Modular form and Eliptic functions

 

Master Students

Taşkın, C.,  “Eliptic Weierstrass P-fonksiyonun delta diskirminantının Teta fonksiyonları ve

 Dedekind toplamları arasındaki bağıntılar üzerine”, Mersin Üniversitesi, 1997.

Cetinkaya, Y., “P-adic Hardy toplamları”, Mersin Üniversitesi, 2002.

Karlık, E., “Eisenstein serileri ile Dedekind toplamları arasındaki bağıntılar”, Mersin Üniversitesi, 2004.

Tepe, N., “q- Bernoulli Polinomları ve sayıları”, Mersin Üniversitesi, 2004.

Akgül, F., “Ortaöğretim Lise  Matematik Programlarında Yer Alan Seriler Konusunun Öğretimi” , Mersin Üniversitesi 2005.

 

 

 

 

Publications Papers

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 ComputationVolume 187, Issue 11 April 2007, Pages 466-473.

 

A31 Simsek, Y., On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers, Russ. J. Math. Phys. 13 (2006), no. 3, 340-348.

 

A32. 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.

 

A33.  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.

 

 

A34. 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.

 

A35. 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.

 

 

 

A36. Y. SIMSEK, " Analytic continuation of the multiple Daehee q-l-functions associatted with Daehee numbers " with T. Kim, to appear in Russian J. Math. Phys. (2007).

 

 

 

A37. 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.

 

A38. Y. SIMSEKElliptic analogue of the Hardy sums related to elliptic Bernoulli functions, General Mathematics Vol. 15, No. 2-3 (2007), 3-23.

 

A39. Y. SIMSEKEuler 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.

 

A40. Y. SIMSEK, A new extension of q-Euler numbers and polynomials related to their interpolation functions, with H. Ozden, Applied Mathematics LettersIn Press, Accepted ManuscriptAvailable online 5 November 2007.

 

 

A41. Y. SIMSEK, On (i,q) Bernoulli and Euler numbers, with M. Cenkci, V. Kurt and S.H. Rim, Applied Mathematics LettersIn Press, Corrected ProofAvailable online 11 September 2007.
 

 

 

A42. 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.

 

A43. 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.

 

A44. Y. SIMSEK, On Analytic properties and  character analogs of Hardy sums, to appear in Taiwanese Journal of Mathematics.

 

 

 

           Papers in arXiv.org  

1. Y. Simsek, Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions with  M. CenkciM. 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-Intenational Conference

 

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 Şimşek Y., Remarks on [WINDOWS-1254?]q-Barnes’s multiple zeta function and q-Barnes multiple Bernoulli polynomials, The 19th International Conference of The Jangjeon Mathematical [WINDOWS-1254?]Society” at Department of Mathematics, Bangalore University, Bangalore, INDIA during February 22-24, 2007.

 

B14 Şimşek Y., Workshop on p-adic analysis and its [WINDOWS-1254?]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 Şimşek Y.Elliptic analogue of the Hardy sums related to elliptic Bernoulli functions,International Symposium on Complex Function Theory" organized by Istanbul Kultur University (Turkey), Lucian Blaga University of Sibiu (Romania) and Kinki Univeristy (Japan) will be held at "Lucian Blaga" University of Sibiu, Romania on August 26-29, 2007.

 

B17 Şimşek Y., q-Dedekind type sums related to p-adic q-Volkenborn Integral, 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

 

International Cowork Team

 

1-  Prof. Dr. Daeyoul KİM Department of Mathematics Chonbuk National University Chonju-Korea

Prof. Dr. Ja Kyung KOO Korea Advanced Institute of Science And Technology, Department of Mathematics Tajeon-Korea

Çalışma alanı: Özel Fonksiyonlar, Dedekind eta fonksiyonu, Teta Fonksiyonları, Eisenstein Serileri ve Lambert Serileri.

 

2-Prof. Dr. Sheldon YANG Canadian College Research Fellow in Mathematics KANADA

Subject Area: Special Functions, Dedekind Sums

 

3- Prof. Dr. Taekyun Kim,  Prof. Dr. D. W. Park ve Prof.Dr. Y. S. Ro Kongju National University South Korea, .... Prof. Dr. L. C. Jang KonKuk University Chungju-South Korea,... Prof. Dr.Seog-Hoon Rim Kyungpook National University Daegu-South Korea

Subject Area: p-adic functions, q-series, Special Functions, Moduler forms, Dedekind Sums

 

4- Prof. Dr. Hari M. Srivastava Department of Mathematics and Statistics University of Victoria Victoria, British Columbia V8W 3P4 Canada-KANADA

Subject Area: p-adic functions, q-series, Special Functions, Moduler forms, Dedekind Sums

 

 

 

 

Referee in the International Mathematical Journal

 

Acta Arithmetica

 

Adv. Stud. Contp. Math.

 

Proc. Jangjeon Math. Soc.

 

Bull. Korean Math. Soc.

 

Hacettepe Journal of Math. And Stat.

 

 

 

 

 

 

Membersheep of Conferences

 

 

  Mathematical Sempozyumu  (Eylül 2002-Mersin).

  The 14th International Conference of the Jangjeon Mathematical Society (South Korea) Uluslar arsı Bilim Kurulu Üyesi (Aralık 2003-Maysore- Hindistan).

  International Workshop on Analysis and Its Application (Eylül 2004-Mersin).

  The 15th International Conference of the Jangjeon Mathematical Society (South Korea) (Hapcheon-Dong, South Korea), (August 05-07, 2004).

  The 16th International Conference of the Jangjeon Mathematical Society (South Korea) (Antalya-TURKEY), (July 04-06, 2005).

 

 

EDITORIAL BOARD and  Reviewer

 

 Reviewer for The Zentralblatt MATH : http://www.emis.de/ZMATH

 

 MEMBER OF THE EDITORIAL BOARD OF THE JOURNAL OF ANALYSIS AND COMPUTATIONS:

 

 http://www.serialspub.com/editorialboard.asp?issn=26

 

 Reviewer for Mathematical Reviews

 

 

C-National Conference

C1. III. National Mathematical Conference, August 20-24, 1990, Van-Turkey.

C2. IV. National Mathematical Conference, September 2-6, 1991, Hatay-Turkey.

C3. XIII. National Mathematical Conference, September 19-23, 1995, Adana-Turkey.

C4. X. National Mathematical Conference, September 1-5, 1997, Bolu-Turkey.

C5. XI. National Mathematical Conference, September 7-11, 1998, Isparta-Turkey.

C6. XIV. National Mathematical Conference, September 19-21, 2001, Eskişehir-Turkey.

C7. Xv. National Mathematical Conference, September 4-7, 2002, Mersin-Turkey.