Results 91 to 100 of about 427 (155)
Universal sums via products of Ramanujan's theta functions [PDF]
Nasser Abdo Saeed Bulkhali, Zhi-Wei Sun
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Overpartitions and class numbers of binary quadratic forms. [PDF]
Proc Natl Acad Sci U S A, 2009 Bringmann K, Lovejoy J.
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The spt-function of Andrews. [PDF]
Proc Natl Acad Sci U S A, 2008 Folsom A, Ono K.
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Ramanujan's Sum and Nagell's Totient Functio for Arithmetical Semi-Groups.
, 1968 E. M. Horadam
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The second moment of Ramanujan sums
In this paper, we analyze $C(x, y)$, the second moment of Ramanujan sums. Assuming the Riemann Hypothesis, we derive an asymptotic formula for $C(x, y)$ with improved error term precision. The key feature of our approach is that it allows $x$ and $y$ to be arbitrarily close.
Ziwei, Hong, Zhiyong, Zheng
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Partitions with short sequences and mock theta functions. [PDF]
Proc Natl Acad Sci U S A, 2005 Andrews GE.
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Ramanujan's partition generating functions modulo ℓ. [PDF]
Ramanujan JBringmann K, Craig W, Ono K.
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QnAs with Karl Mahlburg. Interview by Regina Nuzzo. [PDF]
Proc Natl Acad Sci U S A, 2006 Mahlburg K.
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Counting numbers in multiplicative sets: Landau versus Ramanujan [PDF]
, 2013 Moree, P.
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Sums of two squares and the tau-function: Ramanujan's trail [PDF]
Bruce C. Berndt, Pieter Moree
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