Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...

I was having dinner with a visiting colleague this week when talk turned to what we were teaching this term. He mentioned the part of calculus dealing with infinite series (the bane of many students) ...

With a surprising new proof, two young mathematicians have found a bridge across the finite-infinite divide, helping at the same time to map this strange boundary. The boundary does not pass between ...

Journal of Applied Probability, Vol. 13, No. 2 (Jun., 1976), pp. 361-364 (4 pages) We give an expression for the expectation of max (0, S1, ⋯, Sn) where Sk is the kth partial sum of a finite sequence ...