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researcher

R. Osburn

49 papers hereh-index 191.2k citations73 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author5
  • first author9
  • middle author5
  • last author30

Across the 49 of 49 papers where every author was matched, so the position is known.

fields
  • math.NT47
  • math.GT2

identity via Semantic Scholar / OpenAlex

activity
20042023
most citedA p-adic analogue of a formula of Ramanujan

77 citations · 784 across the 49 of their papers we have counts for

collaborators
Showing 2010 · math.NTShow all

2 papers · 2 filters

math.NT2010★ 25 cited

Quadratic forms and four partition functions modulo 3

Jeremy Lovejoy, Robert Osburn

Recently, Andrews, Hirschhorn and Sellers have proven congruences modulo 3 for four types of partitions using elementary series manipulations. In this paper, we generalize their co…

math.NT2010★ 11 cited

Principal forms X^2 + nY^2 representing many integers

David Brink, Pieter Moree, Robert Osburn

In 1966, Shanks and Schmid investigated the asymptotic behavior of the number of positive integers less than or equal to x which are represented by the quadratic form X^2+nY^2. Bas…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.