Results 31 to 40 of about 625 (47)
Partition regularity of Pythagorean pairs
Forum of Mathematics, PiWe address a core partition regularity problem in Ramsey theory by proving that every finite coloring of the positive integers contains monochromatic Pythagorean pairs (i.e., $x,y\in {\mathbb N}$ such that $x^2\pm y^2=z^2$ for some $z ...
Nikos Frantzikinakis +2 more
doaj +1 more source
Chebyshev's bias and generalized Riemann hypothesis [PDF]
, 2011 It is well known that $li(x)>\pi(x)$ (i) up to the (very large) Skewes' number $x_1 \sim 1.40 \times 10^{316}$ \cite{Bays00}. But, according to a Littlewood's theorem, there exist infinitely many $x$ that violate the inequality, due to the specific ...
Alamadhi, Adel +2 more
core +2 more sources
Log-convexity and the overpartition function. [PDF]
Ramanujan J, 2023 Mukherjee G.
europepmc +1 more source
A logarithmic improvement in the Bombieri-Vinogradov theorem
, 2017 In this paper we improve the best known to date result of Dress-Iwaniec-Tenenbaum, getting (log x)^2 instead of (log x)^(5/2). We use a weighted form of Vaughan's identity, allowing a smooth truncation inside the procedure, and an estimate due to Barban ...
Sedunova, Alisa
core
Stieltjes constants of L-functions in the extended Selberg class. [PDF]
Ramanujan J, 2021 Inoue S, Eddin SS, Suriajaya AI.
europepmc +1 more source
The search for non-symmetric ribbon knots
, 2019 We present the results of Axel Seeliger's tabulation of symmetric union presentations for ribbon knots with crossing numbers 11 and 12 and exhibit possible examples for ribbon knots which are not representable as symmetric unions.
Lamm, Christoph
core
On zeta-functions associated to certain cusp forms. I
Open Mathematics, 2004 Laurinčikas A., Steuding J.
doaj +1 more source
Beyond the LSD method for the partial sums of multiplicative functions. [PDF]
Ramanujan J, 2019 Granville A, Koukoulopoulos D.
europepmc +1 more source
On the riemann zeta-function and the divisor problem
Open Mathematics, 2004 Ivić Aleksandar
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A first digit theorem for powerful integer powers. [PDF]
Springerplus, 2015 Hürlimann W.
europepmc +1 more source