Zobrazeno 1 - 10
of 120
pro vyhledávání: '"DIAMOND, Harold G."'
Publikováno v:
J. Th\'eor. Nombres Bordeaux 30 (2018), 469-483
In classical prime number theory there are several asymptotic formulas said to be "equivalent" to the PNT. One is the bound $M(x) = o(x)$ for the sum function of the Moebius function. For Beurling generalized numbers, this estimate is not an uncondit
Externí odkaz:
http://arxiv.org/abs/1609.03504
Autor:
Diamond, Harold G., Straub, Armin
We consider differences between $\log \Gamma(x)$ and truncations of certain classical asymptotic expansions in inverse powers of $x-\lambda$ whose coefficients are expressed in terms of Bernoulli polynomials $B_n(\lambda)$, and we obtain conditions u
Externí odkaz:
http://arxiv.org/abs/1508.03267
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2018 Jan 01. 30(2), 469-483.
Externí odkaz:
https://www.jstor.org/stable/26542210
Autor:
Diamond, Harold G., Ford, Kevin
Publikováno v:
Math. Proc. Cambridge Phil. Soc 145 (2008), 27-41
We define a family {$\gamma(P)$} of generalized Euler constants indexed by finite sets of primes $P$ and study their distribution. These arise from partial sums of reciprocals of integers not divisible by any prime in $P$. An apparent monotonicity is
Externí odkaz:
http://arxiv.org/abs/math/0703508
Autor:
Bateman, Paul T., Diamond, Harold G.
Publikováno v:
The American Mathematical Monthly, 1996 Nov 01. 103(9), 729-741.
Externí odkaz:
https://www.jstor.org/stable/2974443
Autor:
Diamond, Harold G., Straub, Armin
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 January 2016 433(2):1072-1083
Autor:
DIAMOND, Harold G., PINTZ, Janos
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2009 Jan 01. 21(3), 523-533.
Externí odkaz:
https://www.jstor.org/stable/26273963