Results 21 to 30 of about 19,257 (101)
Ramsey Theory Problems over the Integers: Avoiding Generalized Progressions [PDF]
, 2015 Two well studied Ramsey-theoretic problems consider subsets of the natural numbers which either contain no three elements in arithmetic progression, or in geometric progression.
Best, Andrew +6 more
core
Generalized Fourier coefficients of multiplicative functions
, 2017 We introduce and analyse a general class of not necessarily bounded multiplicative functions, examples of which include the function $n \mapsto \delta^{\omega (n)}$, where $\delta \neq 0$ and where $\omega$ counts the number of distinct prime factors of $
Matthiesen, Lilian
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Some conjectures in elementary number theory [PDF]
, 2013 We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$.
Mingarelli, Angelo B.
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On the finiteness and stability of certain sets of associated primes ideals of local cohomology modules [PDF]
, 2012 Let $(R,\frak{m})$ be a Noetherian local ring, $I$ an ideal of $R$ and $N$ a finitely generated $R$-module. Let $k{\ge}-1$ be an integer and $ r=\depth_k(I,N)$ the length of a maximal $N$-sequence in dimension $>k$ in $I$ defined by M. Brodmann and L. T.
Cuong, Nguyen Tu, Van Hoang, Nguyen
core
, 2017 Using a modified version of the Riemann Zeta generating function (based on the extended Riemann Siegelfunctional form) produces a square wave version of the Riemann Zeta function along the positive real axis.This function can be used to highlight and identify the positive odd integers and prime numbers.
openaire +1 more source
Generalized prime number theorem on semi-groups of integers and the Möbius function
, 2020 Bu çalışmada ilk olarak herhangi bir x reel sayısına kadar olan asallarınsayısı üzerine sonuç veren Asal Sayı Teoremi kanıtlanacaktır. Daha sonraüçüncü bolümde Wiener-Ikehara Tauberian Teoremini kanıtlayıp, bununsonucunda Asal Sayı Teoremini kanıtlamak için Riemann Zeta fonksiyonununRe(s)=1 doğrusu üzerinde hiç sıfırının olmamasının yeterli olacağını ...
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, 2018 In this article, we provide a comprehensive historical survey of 183 different proofs of famous Euclid's theorem on the infinitude of prime numbers.
Meštrović, Romeo
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Correlations of the Moebius and Liouville functions and the twin prime conjecture
, 2015 In this note we describe weight functions that exhibit a transitional behavior between weak and strong correlation with the Liouville function. We also describe a binary problem which may be considered as an interpolation between Chowla's conjecture for ...
Preobrazhenskaya, Tatyana +1 more
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Geometric sieve over number fields for higher moments. [PDF]
Res Number Theory, 2023 Micheli G +3 more
europepmc +1 more source
Holographic realization of the prime number quantum potential. [PDF]
PNAS Nexus, 2023 Cassettari D, Mussardo G, Trombettoni A.
europepmc +1 more source