Dorian GoldfeldAffiliation: Columbia University Email: goldfeld@columbia.edu Title Of Talk: Ramanujan Sums Abstract: In 1918 Ramanujan introduced certain trigonometric sums which are now called Ramanujan sums. He obtained explicit identities relating the Ramanujan sums to divisor sums and to the number of representations of a number as a sum of squares. Today, we understand his work as relations between products of theta series and Eisenstein series. In this talk I will review the classical theory of Ramanujan sums and discuss some generalizations to higher rank groups.
Last update made Sun Oct 14 13:07:17 EDT 2012.
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