Adolf Piltz

Adolf Piltz ( born December 8, 1855 in Ilmenau, † 1940 in Großheringen ) was a German mathematician who worked in the field of number theory.

Life

Adolf Piltz visited Eisenach in high school and studied, after military service 1875/76, in Jena and Berlin. After the teacher's exam in 1881 he was 1881/82 Trainee teacher at Gymnasium in Wittstock. In 1883 he habilitated at Carl Johannes Thomae at the University of Jena and applied there for a job as a lecturer. The report of the faculty included the comment that it Dr. Piltz does a great job to bring his knowledge and ideas on the subject. However, his application was accepted and he was from 1883 to 1897 in Jena worked as a lecturer. From 1884 he was also a member of the Jena Society of Medicine and Natural Science.

After the death of his father, who had previously supported him financially, Adolf Piltz had his ( unpaid ) lectureship in 1897 to give up ( after a scandal, to which contributed an opinion of the psychiatrist Otto Binswanger, which for example, talked of " years of stagnation " of the lecturer ). Then Piltz was until 1926 the editor of the "Thüringer courier " in Bad Sulza and taught mathematics at times Thuringian pilot in Ilmenau. In 1940, he drowned while Großheringen in the Ilm.

After Adolf Piltz the Piltzsche divider problem is named, which is a generalization of the Dirichlet divisor problem. In 1901, Piltz wrote two letters to Edmund Landau (Berlin, 1909 in Göttingen), in which he wanted to run an earlier announcement of an improved result for the Dirichlet divisor problem (see the work of Dirichlet divisor problem of About Landau 1920 ). Although Landau 's argument Piltz was incomprehensible, he could pick up his neck and called him even as an " ingenious method " ( About Dirichlet divisor problem, p.16).

Writings

  • PhD thesis: as products of a given number of factors grows over the law according to which the mean visualization of the natural numbers with the size of the numbers, Berlin, 1881 ( Göttingen Digitisation Centre )
  • Thesis: on the frequency of primes in arithmetic progressions and related laws, Neuenhahn, Jena, 1884 (online)
  • Notice of the three-body problem, Annual Report of the DMV 1, 68-70, 1890/91
  • A message from number theory, Naturf. Ges Hall 64, 15-16, 1891
Ilm (Thuringia) Johannes van der Corput Arnold Walfisz Integrated Authority File
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