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Lethbridge Number Theory and Combinatorics Seminar
Date:
September 23, 2019
Time:
12 to 12:50pm
Lecturer(s):
Selcuk Aygin (University of Lethbridge)
Location:
University of Lethbridge
Topic:
Extensions of Ramanujan-Mordell Formula with Coefficients 1 and p
Description:
We use properties of modular forms to extend the Ramanujan-Mordell formula.
Our result yields formulas for representation numbers by the quadratic form X + pY, where X is the sum of 2a squares and Y is the sum of 2b squares, for all non-negative integers a,b and for all odd prime p. We obtain this result by computing the Fourier series expansions of modular forms at all cusps of Gamma_0(4p).
Other Information:
Location: C630 University Hall
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science
