Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 35

Fresnel Sine Integral $\ds \map {\mathrm S} x = \sqrt {\frac 2 \pi} \int_0^x \sin u^2 \rd u$
=== Fresnel Cosine Integral $\ds \map {\mathrm C} x = \sqrt {\frac 2 \pi} \int_0^x \cos u^2 \rd u$ ===

=== Riemann Zeta Function $\ds \map \zeta x = \frac 1 {1^x} + \frac 1 {2^x} + \frac 1 {3^x} + \ldots$ ===