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รศ.ดร.ประพันธ์พงศ์ พงศ์ศรีเอี่ยม
Associate Professor Dr.Prapanpong Pongsriiam

ห้องทำงาน 1540อาคารวิทย์ฯ 1 มหาวิทยาลัยศิลปากร วิทยาเขตพระราชวังสนามจันทร์
เบอร์โทรศัพท์: 034-245320-1 ต่อ 28114
E-mail: prapanpong@gmail.com

Education and Scholarship  
Primary School-Secondary School: Monfort College,1988-1997
High School: Triumudom Suksa School, 1997-2000

Bachelor of Science (Mathematics)Chulalongkorn University, 2000-2004
Project title: Symmetrically continuous functions and weakly continuous functions
Project advisors: Imchit Termwuttipong and Nattanard Triphop 
Scholarship: Mathematical Olympiad Scholarship of Chulalongkorn University and DPST scholarship of IPST

Master of Science (Mathematics) Chulalongkorn University, 2004-2006
Thesis title: Action by automorphisms on the dual of a group
Thesis advisors: Roberto Conti and Wicharn Lewkeeratiyutkul
Scholarship: DPST Scholarship of IPST

Ph.D. Mathematics The Pennsylvania State University, 2006-2012
Thesis title: The distribution of the divisor function in arithmetic progressions
Thesis advisor: Robert C. Vaughan 
Scholarship: DPST Scholarship of IPST and Royal Thai Goverment, and Teaching Assistantship of The Pennsylvania State University 


Lecturer at Silpakorn University, May 2012- July 2015

Assistant Professor of Mathematics at Silpakorn University, July 2015- present 

Research Interest

My main interest is in number theory (analytic, combinatorial, or elementary) but I am also interested in combinatorics and classical analysis. The topics of particular interest are integer sequences, divisor functions, and metric-preserving functions. My Erdos number is 2. 

Research Fund

1) Postdoctoral Research Fund from Faculty of Science, Silpakorn University, Grant Number RGP 2555-07(ทุนอุดหนุนการวิจัยสำหรับอาจารย์หลังสำเร็จการศึกษาระดับปริญญาเอก จากกองทุนส่งเสริมและพัฒนาคณะวิทยาศาสตร์ มหาวิทยาลัยศิลปากร)

2) New Scholar Research Fund from The Thailand Research Fund, Grant Number TRG5680052(ทุนส่งเสริมนักวิจัยรุ่นใหม่ โดย สำนักงานกองทุนสนับสนุนการวิจัย สกว.)

 3) Postdoctoral Research Fund from Faculty of Science, Silpakorn University,Grant Number SRF-PRG-2557-07(ทุนอุดหนุนการวิจัยสำหรับอาจารย์หลังสำเร็จการศึกษาระดับปริญญาเอก จากกองทุนวิจัยและสร้างสรรค์คณะวิทยาศาสตร์ มหาวิทยาลัยศิลปากร)

 4) Research Fund from Faculty of Science, Silpakorn University,Grant Number SRF-JRG-2558-03(ทุนอุดหนุนการวิจัยเพื่อผลิตผลงานวิจัยตีพิมพ์ในวารสารวิชาการ จากกองทุนวิจัยและสร้างสรรค์คณะวิทยาศาสตร์ มหาวิทยาลัยศิลปากร)

 Selected Publications

I start working at Silpakorn University in May 30, 2012. My list of publications is still short. But I hope I can make it longer and longer with good quality.

Research Articles

- P. Pongsriiam, A Complete Formula for the Order of Appearance of Powers of Lucas Numbers, Communication of the Korean Mathematical Society, 31(3) (2016), 447-450

- P. Pongsriiam, Local Behaviors of the Number of Relatively Prime Sets, International Journal of Number Theory, 12(6) (2016), 1575-1593

 - N. Khaochim, P. Pongsriiam, On the Order of Appearance of Product of Consecutive Fibonacci Numbers, submitted

- P. Pongsriiam and R.C. Vaughan, The Divisor Function on Residue Classes I, Acta Arithmetica, 168(4) (2015), 369-381

- P. Pongsriiam, Exact Divisibility by Powers of the Fibonacci and Lucas Numbers, Journal of Integer Sequences, 17(11) (2014), Article 14.11.2

- T. Khemaratchatakumthorn and P. Pongsriiam, Remarks on Uniformly Symmetrically Continuous Functions, Asian-European Journal of Mathematics, 9(3) (2016), 

- P. Pongsriiam, I. Termwuttipong, On Metric-Preserving Functions and Fixed Point Theorems, Fixed Point Theory and Applications 2014, 2014:179, 14 pages

- P. Pongsriiam, I. Termwuttipong, Remarks on Ultrametrics and Metric-Preserving Functions, Abstract and Applied Analysis, Article ID 163258, 2014, 9 pages

 - K. Onphaeng and P. Pongsriiam, Subsequences and Divisibility by Powers of the Fibonacci Numbers, The Fibonacci Quarterly, 52(2) (2014), pp. 163-171

- P. Pongsriiam, Relatively Prime Sets, Divisor Sums, and Partial Sums, Journal of Integer Sequences, 16(9) (2013), Article 13.9.1  

- P. Pongsriiam, A Remark on Relatively Prime Sets, Integers, 13(2013), A49, 14 pages

- B. Berndt and P. Pongsriiam, Discarded Fragments from Ramanujan’s Papers, Analytic and Probabilistic Methods in Number Theory, Kubilius Memorial Volume, 2012, pp. 49-59

Books and Lecture Notes


1) P. Pongsriiam, Introduction to Mathematical Analysis, Silpakorn University Publishing House, 2016. 

2) P. Pongsriiam, Analytic Number Theory for Beginners, in preparation  

Link to my Research Gate: http://www.researchgate.net/profile/Prapanpong_Pongsriiam

My Coauthors (in alphabetical order of their last name)

Bruce C. Berndt, Narissara Khaochim, Tammatada Khemaratchatakumthorn, Kritkhajohn Onphaeng, Imchit Termwuttipong, Nattanard Triphop, Robert C. Vaughan 



June 2012- May 2013 

511521-2 Analytic Number Theory, June-September 2012
511101-55 Calculus I, June-September 2012
511104-55 Calculus for Engineers I, November 2012- February 2013
511531-1 Theory of Numbers, November 2012- February 2013
511105-55 Calculus for Engineers II, April-May 2013 

 June 2013- May 2014

511101-55 Calculus I, June-September 2013
511541-2 Mathematical Analysis, June- September 2013
511513-2 Abstract Algebra I, November 2013 –February 2014
511541-2 Mathematical Analysis, November 2013 –February 2014
511491-51 Research Project, Narissara Khaochim, The period modulo product of consecutive Fibonacci numbers and modulo powers of Fibonacci and Lucas number, June 2013- March 2014
511491-51 Research Project, Kriangkrai Boonniyom and Attawut Umaree, Problems and games for mathematics club, June 2013- March 2014

 August 2014- July 2015

511541-2 Mathematical Analysis, August-December 2014
511594 Seminar I, Jareena Tharnnukhroh, On irreducibility criterions for polynomial with integer coefficients, August-December 2014
511594 Seminar I, Teraporn Thongsiri, Weakly symmetrically continuous functions, August -December 2014
511521-2 and 511521-55 Analytic Number Theory, January-May 2015
511602-1, 511602-55, 511493-51, and 511482-55 Selected Topics in Mathematics II (Irrational numbers and Diophantine problems), January-May 2015
511491-51 Research Project, Bencharat Prempreesuk, Some inequalities associated with classical multiplicative functions, August 2014 – May 2015

 August 2015- July 2016

511101-51 and 511101-55 Calculus I, August-December 2015
511282-55 Engineering Mathematics, August-December 2015
511491-55 Seminar, Phakhinkon Phunphayap, The p-adic order of some Fibonomial coefficients, August-December 2015
511544-55, 511522-58 Real Analysis, January-May 2016
511483-55 Selected Topics in Mathematics III, January-May 2016
511741-58 Selected Topics in Number Theory, January-May 2016
511492-55 Research Project, Phakhinkon Phunphayap, TBD, January-May 2016
511595-53 Seminar II, Kritkhajohn Onphaeng, Jacobthal and binomial sums, January-May 2016
511791-55 Seminar in Advanced Mathematics I, Suchat Samphavat, Metric-preserving functions, January-May 2016

My Students (Seminar, Research Project, and Thesis) listed in chronological order

Narissara Khaochim, Kriangkrai Boonniyom , Attawut Umaree, Kritkhajohn Onphaeng, Jareena Tharnnukhroh, Teraporn Thongsiri, Bencharat Prempreesuk, Phakhinkon Phunphayap, Suchat Samphavat

Services for Mathematics Community

1) Reviewer for Mathematical Review of the AMS (Reviewer number 098739), 2013-present
2) Reviewer for Journal of Number Theory
3) Reviewer for the Songklanakarin Journal of Science and Technology
4) Lecturer in Mathematical Olympiad Camp, number theory, 2012-2013
5) Team Leader of Silpakorn University in Thailand Mathematical Olympiad at Burapa University, May 2013
6) Coordinator for Thailand Mathematical Olympiad, Khon Kaen University, May 2014
7) Coordinator for International Mathematical Olympiad, Chiangmai, Thailand, July 2015
8) Reviewer for Hardy and Ramanujan Journal 
9) Lecturer in Science and Mathematics school ( โครงการ วมว. คณะวิทยาศาสตร์ ม. ศิลปากร), 2015-2016


1) Second Moments Associated with the Divisor Function in Arithmetic Progressions, Number Theory Seminar at UIUC, USA, December 2011
2) Exact Divisibility by Powers of the Fibonacci and Lucas Numbers, Midwest Number Theory Conference at UIUC, USA, June 2014
3) Local Behaviors of the Number of Relatively Prime Sets, Elementary, analytic, and algorithmic number theory: Research inspired by the mathematics of Carl Pomerance, June 9-11, 2015, Athens, GA, USA



Homepage (Silpakorn University) http://www.math.sc.su.ac.th/web3/people/prapanpong.php
Research Gate (Mathematics) http://www.researchgate.net/profile/Prapanpong_Pongsriiam
Blogs (Mathematics) mathprapanpong.blogspot.com,
(Traveling, music, general things) generalprapanpong.blogspot.com,
Facebook Group (Mathematics and Education by Day Silpakorn) https://www.facebook.com/groups/mathematics.prapanpong/
Facebook Page (Buddhism) www.facebook.com/dharmmapractice.
(Mathematics and Education by Day Silpakorn) https://www.facebook.com/MathPuzzleDaySilpakorn
Interesting websites on number theory
Things of interest to number theorists http://www.numbertheory.org/ntw/number_theory.html
Journal specializing in number theory http://www.numbertheory.org/ntw/N6.html
The on-line encyclopedia of integer sequences https://oeis.org/
Journal of Integer Sequences https://cs.uwaterloo.ca/journals/JIS/
Arithmetic properties of binomial coefficients by A. Granville http://www.dms.umontreal.ca/~andrew/Binomial/
Electronic Journal of Japan http://mathsoc.jp/en/links/ej.html
Research Institute for Mathematical Science http://www.kurims.kyoto-u.ac.jp/en/index.html
Topics from Terence Tao blog https://terrytao.wordpress.com/2008/09/23/the-divisor-bound/
Combinatorics Conferences http://www.math.illinois.edu/~dwest/meetlist.html
Free access to archived articles fron Elsevier https://www.elsevier.com/physical-sciences/mathematics/free-access-to-archived-articles-of-primary-mathematics-journals
C. Stewart Homepage https://uwaterloo.ca/pure-mathematics/cameron-stewart
C. Pomerance Homepage https://math.dartmouth.edu/~carlp/
Kimberling's list of prize problems http://faculty.evansville.edu/ck6/integer/unsolved.html
Silpakorn Science Classrooms http://scius.sc.su.ac.th/index1.php#3