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M. Villarino

9 papers hereh-index 8226 citations38 works total

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

author position
  • sole author9

Across the 9 of 9 papers where every author was matched, so the position is known.

fields
  • math.CA4
  • math.CV2
  • math.HO2
  • math.GT1

identity via Semantic Scholar / OpenAlex

activity
19982005
most citedRamanujan's Perimeter of an Ellipse

27 citations · 46 across the 7 of their papers we have counts for

collaborators
Showing math.HOShow all

2 papers · 1 filter

math.HO2005★ 13 cited

Mertens' Proof of Mertens' Theorem

Mark B. Villarino

We present a self-contained elementary and detailed exposition of Mertens' own proof of his theorem on the divergence of the series of the reciprocals of the primes and compare it…

math.HO2003

Ramanujan's Most Singular Modulus

Mark B. Villarino

We present an elementary self-contained detailed computation of Ramanujan's most famous singular modulus, k210, based on the Kronecker Limit Formula.

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