Carl Severin Wigert Explained

Carl Severin Wigert (1871–1941) was a Swedish mathematician who created Stieltjes–Wigert polynomials and worked on the divisor function, including correctly describing its maximal order of growth. Wigert proved that

\limsup _{n\toinfty} (log d(n))/(log n/ loglog n) =log2 .

Selected publications

• 1914. Sur quelques fonctions arithmétiques. Acta Mathematica. 37. 1. 113–140. 10.1007/bf02401831. free.
• Sur la série de lambert et son application à la théorie des nombres. Acta Mathematica. 41. 1. 1916. 197–218. 10.1007/bf02422944. free.