Results 21 to 30 of about 361 (50)
Carmichael numbers composed of Piatetski-Shapiro primes in Beatty sequences
Open MathematicsThe Piatetski-Shapiro sequences are sequences of the form (⌊nc⌋)n=1∞{\left(\lfloor {n}^{c}\rfloor )}_{n=1}^{\infty } and the Beatty sequence is the sequence of integers (⌊αn+β⌋)n=1∞{(\lfloor \alpha n+\beta \rfloor )}_{n=1}^{\infty }.
Qi Jinyun, Guo Victor Zhenyu
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On Weyl sums for smaller exponents [PDF]
, 2010 We present a hybrid approach to bounding exponential sums over kth powers via Vinogradov's mean value theorem, and derive estimates of utility for exponents k of intermediate ...
D. Wooley, Kent D. Boklan, Trevor
core
Diophantine approximation on lines with prime constraints
, 2013 We study the problem of Diophantine approximation on lines in R^2 with prime numerator and denominator.Comment: 14 ...
Baier, Stephan, Ghosh, Anish
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Note on sums involving the Euler function
, 2018 In this note, we provide refined estimates of the following sums involving the Euler totient function: $$\sum_{n\le x} \phi\left(\left[\frac{x}{n}\right]\right) \qquad \text{and} \qquad \sum_{n\le x} \frac{\phi([x/n])}{[x/n]}$$ where $[x]$ denotes the ...
Chern, Shane
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Modular hyperbolas and Beatty sequences
, 2019 Bounds for $\max\{m,\tilde{m}\}$ subject to $m,\tilde{m} \in \mathbb{Z}\cap[1,p)$, $p$ prime, $z$ indivisible by $p$, $m\tilde{m}\equiv z\bmod p$ and $m$ belonging to some fixed Beatty sequence $\{ \lfloor n\alpha+\beta \rfloor : n\in\mathbb{N} \}$ are ...
Technau, Marc
core
On certain arithmetic functions involving the greatest common divisor
Open Mathematics, 2012 Krätzel Ekkehard +2 more
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Nonlinear exponential twists of the Liouville function
Open Mathematics, 2011 Sun Qingfeng
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On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions
Open Mathematics, 2013 Kühleitner Manfred, Nowak Werner
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Bounds for spectral projectors on generic tori. [PDF]
Math AnnGermain P, Rydin Myerson SL.
europepmc +1 more source