Hans Petersson

{{Short description|German mathematician}}

{{For|those of a similar name|Hans Peterson|Hans Petersen (disambiguation)}}

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Hans Petersson (24 September 1902 in Bentschen – 9 November 1984 in Münster) was a German mathematician, known for his research on modular and automorphic forms.{{MacTutor|id=Petersson}} He introduced the Petersson inner product and is also known for the Ramanujan–Petersson conjecture.

He received his doctorate in 1925 from the University of Hamburg. His thesis advisor was Erich Hecke.{{MathGenealogy|id=15254}}

In a series of papers, Petersson used the Poincaré series to give a complete construction of all meromorphic functions and differentials on a compact Riemann surface.{{cite book|author=Maass, Hans|author-link=Hans Maass|url=https://mathweb.tifr.res.in/sites/default/files/publications/ln/tifr29.pdf|title=Lectures on modular functions of one complex variable|page=39|series=Tata Institute Lecture Notes in Mathematics, Vol. 29|location=Berlin; Heidelberg; New York|publisher=Springer|year=1983|edition=2nd, revised|postscript=; notes by Sunder Lal taken on lectures given by Maass at the Tata Institute of Fundamental Research in 1962–1963}}