Paul Thomas Young


Welcome to my home page. I am a Professor on the faculty of the Department of Mathematics at the College of Charleston . If you don't believe me, just check my vita .
 

Address

Department of Mathematics
College of Charleston
66 George Street
Charleston, SC 29424-0001 USA

phone: (843)953-5922
fax: (843)953-1410

paul@math.cofc.edu

 

Classes

  • Students in my Spring 2013 classes may access materials and information on OAKS .



  • Happenings 

    "Symmetries of Bernoulli polynomial series and Arakawa-Kaneko zeta functions", Journal of Number Theory video abstract:

                                                                                

    "Rational series for multiple zeta and log gamma functions", Journal of Number Theory video abstract:

                                                                                

                                              SERMON 2013

                      SouthEastern Regional Meeting On Numbers
                                                                                                                           
                                               High Point University 

                                                  High Point, NC                    
                                                 April 13-14, 2013

                                              Conference Webpage     
                                                          
    promenade.jpg


                                                 WCNT 2012

                            West Coast Number Theory Conference
                                                                                                                           
                                          Asilomar Conference Center  

                                                 Pacific Grove, CA                    
                                             December 16-20, 2012

                                              Conference Webpage     
                                                          
    surfing.jpg
    Lumières! Action! Résumé! from University Affairs / Affaires universitaires  English / French

                                                                                

                                                    FIB XV

                            Fifteenth International Conference on
                       Fibonacci Numbers and Their Applications                  

                                          Eszterházy Károly Főiskola  

                                                    Eger, Hungary
                                                  June 25-30, 2012

                                              Conference Webpage     
                                                          
    eger.jpg

                                Number Theory Seminar                            

                                        Ostravská Univerzita 
                                         Ostrava, Czech Republic                  

                               "Generalizations of Bernoulli Numbers       
                               in Number Theory and Combinatorics"

                                                March 7, 2012

                                                 Ostrava Math                  
                                                           

    opravdovy_muzi.jpg


                       University of the Witwatersrand
                                                          and
                                 John Knopfmacher Centre
                    for Applicable Analysis and Number Theory

           "Arithmetic and Combinatorics of Bernoulli Numbers"       

                                       Johannesburg, South Africa

                                                May 12, 2011

                                                 Wits Maths     
                                         
    shambu-jules-tata-paul.jpg

    From The Guardian Science blog:  How Youtube is Popularising Science

                                                                                



                                                  FIB XIV

                          Fourteenth International Conference on

                       Fibonacci Numbers and Their Applications       

                             Universidad Nacional Autónoma de México

                                                  July 5-9, 2010

                                            Conference Webpage     
                                                           

    Luis.jpg


                                    Coloquio y Seminario

                        Instituto de Matemáticas Unidad Morelia      

                             Universidad Nacional Autónoma de México            

                               "Generalizations of Bernoulli Numbers"

                                               November 4, 2009

                                             Coloquio Webpage                  
                                                           

    mexico.jpg


                                         INTEGERS 2009

                                  INTEGERS Conference 2009                                   

      In Celebration of the 65th Birthdays of Mel Nathanson and Carl Pomerance          

                                        University of West Georgia

                                              October 14-17, 2009

                                             Conference Webpage                  
                                                           

    garden.jpg


                                                  PANTS 7

                      Palmetto Number Theory Seminar, Meeting 7                

                                    was held at the College of Charleston

                                               October 11-12, 2008

                           Plenary Speakers:  Florian Luca, Ram Murty

                                              Conference Webpage                  
                                                           

    cougar.jpg


                                                FIB XIII

                         Thirteenth International Conference on                              

                  Fibonacci Numbers and Their Applications     

                                       University of Patras, Greece

                                                 July 7-11, 2008

                                             Conference Webpage                  
                                                           

    parthenon.jpg


                                               PANTS 3

                 Palmetto Number Theory Seminar, Meeting 3                 

                               was held at the College of Charleston

                                           September 8-9, 2007

                  Plenary Speakers:  Alan Adolphson, Jonathan Sands

                                          Conference Webpage                  
                                                           

    cougar.jpg
     

              Séminaire de Théorie des Nombres            

                    Institut de Mathématiques de Bordeaux    


                                               March 9, 2007

                       "Bernoulli Polynomials and Sums of Powers"

                                          Séminaire Webpage                  
                                                           

    imb5.jpg
     

                                                  SERMON 2004

        The Seventeenth SouthEastern Regional Meeting On Numbers

                                      was held at the College of Charleston

                                                    April 16-18, 2004

                               Keynote Speaker:  Harold M. Stark, UCSD

                                                 Conference Webpage                  
                                                           

    cougar.jpg

     

              Meeting on Geometric Analysis and Singular Spaces

                 Mathematisches Forschungsinstitut Oberwolfach               

                                                       June 2-8, 2002
     
     

                                              Oberwolfach Web Site

    library.jpg

       

                    The Dwork Trimester in Italy 

                        "Remembering Bernie"

            A cycle of conferences on Dwork theory, in memory of Bernard M. Dwork

                                                  May-July 2001
     
     

                                                 AMS Obituary
     

                                       Dwork Conference Web Site



    Preprints

    Here you can access preprints of some of my recent papers in pdf form.  My earlier papers may also be found here .

                                                                        
     
  •   "On the behavior of some two-variable p-adic L-functions" , Journal of Number Theory 98.1 (2003), 67-88.

  •   "On lacunary recurrences" , The Fibonacci Quarterly 41.1 (2003), 41-47. 

  •   "Congruences for degenerate number sequences" , Discrete Mathematics 270 (2003), 279-289. 

  •   "Gauss sums and multinomial coefficients" , Journal of Number Theory 106.1 (2004), 13-25. 

  •   "Degenerate and n-adic versions of Kummer's congruences for values of Bernoulli polynomials" , Discrete Mathematics 285 (2004), 289-296. 

  •   "p-adic interpolation of the Fibonacci sequence via hypergeometric functions" (with Prerna Bihani and Wendy Sheppard), The Fibonacci Quarterly 43.3 (2005), 213-226.  

  •   "Regular and strongly regular planar graphs" (with Nirmala Limaye, Dinesh Sarvate, and Pantelimon Stănică), Journal of Combinatorial Mathematics and Combinatorial Computing 54 (2005), 111-127.  

  •   "On Lucas-Bernoulli numbers" , The Fibonacci Quarterly 44.4 (2006), 347-357.  

  •   "Degenerate Bernoulli polynomials, generalized factorial sums, and their applications" , Journal of Number Theory 128.4 (2008), 738-758.  

  •   "A 2-adic formula for Bernoulli numbers of the second kind and for the Nörlund numbers" , Journal of Number Theory 128.11 (2008), 2951-2962.  

  •   "On higher order Lucas-Bernoulli numbers"  (with Kyle Keepers), The Fibonacci Quarterly 46/47 (2008/2009), 26-31.  

  •   "A p-adic formula for the Nörlund numbers and for Bernoulli numbers of the second kind" , Congressus Numerantium 201 (2010), 77-87.

  •   "Coincidences of Catalan and q-Catalan numbers" (with Florian Luca), INTEGERS 11.4 (2011), 495-503. 

  •   "Bernoulli numbers and generalized factorial sums", INTEGERS 11.4 (2011), 553-561.  

  •   "On p-adic multiple zeta and log gamma functions" (with Brett Tangedal), Journal of Number Theory 131.7 (2011), 1240-1257. 

  •   "On the binary expansion of the odd Catalan numbers" (with Florian Luca), Aportaciones Matemáticas Investigación 20 (2011), 185-190.  

  •   "Some p-adic congruences for pq-Catalan numbers" (with Florian Luca), Aportaciones Matemáticas Investigación 20 (2011), 191-197.  

  •   "On the log-concavity of the degenerate Bernoulli numbers" (with Florian Luca), International Journal of Number Theory 8.3 (2012), 789-800.  

  •   "On the number of divisors of n! and of the Fibonacci numbers" (with Florian Luca), Glasnik Matematički 47 (2012), 285-293.   

  •   "Explicit computation of Gross-Stark units over real quadratic fields" (with Brett Tangedal), Journal of Number Theory 131.3 (2013), 1045-1061.  

  •   "Rational series for multiple zeta and log gamma functions" , Journal of Number Theory 131.12 (2013), 3995-4009. 



  •  

    Surf's Up!


    Catch some tasty waves to other way cool spots on the net.
     
     

  • Check out the online version of Mathematical Reviews .

  •  
  • Read gnarly preprints of recent articles in Algebraic Number Theory .

  •  
  • Get way lost in Karl Dilcher's AMAZING Bernoulli Number Bibliography !

  •  
  • Scope out the rise and fall of the stock market .