In this paper, we discuss an alternative approach to determine an asymptotic equivalent of the partial sum of the reciprocals of prime numbers. This well-known result, related to Merten's second theorem, is usually derived through methods similar to those found in Hardy and Wright's book ``An introduction to the theory of numbers'', involving ...
openaire +2 more sources
Riemann hypothesis for period polynomials of modular forms. [PDF]
Proc Natl Acad Sci U S A, 2016 Jin S, Ma W, Ono K, Soundararajan K.
europepmc +1 more source
The use of free osteoplasty together with trials on arthrodesis and joint transplantation. Archiv für klin Chirurgie. 1908;86(4):939-954. [PDF]
Clin Orthop Relat Res, 2008 Lexer E.
europepmc +1 more source
The classic: Cartilaginous-cup arthroplasty in ununited fractures of the neck of the femur. 1948. [PDF]
Clin Orthop Relat Res, 2011 Moore JR.
europepmc +1 more source
Artificial skin--culturing of different skin cell lines for generating an artificial skin substitute on cross-weaved spider silk fibres. [PDF]
PLoS One, 2011 Wendt H +7 more
europepmc +1 more source
Using a parity-sensitive sieve to count prime values of a polynomial. [PDF]
Proc Natl Acad Sci U S A, 1997 Friedlander J, Iwaniec H.
europepmc +1 more source
Tissue engineering of cultured skin substitutes. [PDF]
J Cell Mol Med, 2005 Horch RE +4 more
europepmc +1 more source
CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES
CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIESIn this paper, we first give a brief survey on the theory of meromorphic continuation and natural boundaries of multiple Dirichlet series. Then we consider the double Dirichlet series Φ2(s) defined by the convolution of logarithmic derivatives of the Riemann zeta-function.
openaire
Diced Costal Cartilage for Augmentation Rhinoplasty.
Chin Med J (Engl), 2015 Ma JG, Wang KM, Zhao XH, Cai L, Li X.
europepmc +1 more source
Counting numbers in multiplicative sets: Landau versus Ramanujan [PDF]
, 2013 Moree, P.
core +1 more source