Results 61 to 70 of about 1,582,878 (315)
On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem [PDF]
Advances in Mathematics, 2019 In this paper, we show that if we have a sequence of Hadamard triples $\{(N_n,B_n,L_n)\}$ with $B_n\subset \{0,1,..,N_n-1\}$ for $n=1,2,...$, except an extreme case, then the associated Cantor-Moran measure $$ \begin{aligned} \mu = \mu(N_n,B_n ...
Li-Xiang An, Xiaoye Fu, Chun-Kit Lai
semanticscholar +1 more source
A sieve method for shifted convolution sums [PDF]
Duke Mathematical Journal, 2009 To appear in Duke Math. J.
openaire +4 more sources
Molecular Oncology, EarlyView.Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source
MATRIKS ATAS RING DERET PANGKAT TERGENERALISASI MIRING
Barekeng, 2021 Let R be a ring with unit elements, strictly ordered monoids, and a monoid homomorphism. Formed , which is a set of all functions from S to R with are Artin and narrow.
Siti Rugayah +2 more
doaj +1 more source
Ramanujan’s convolution sum twisted by Dirichlet characters
International Journal of Number Theory, 2019 We find formulas for convolutions of sum of divisor functions twisted by the Dirichlet character [Formula: see text], which are analogous to Ramanujan’s formula for convolution of usual sum of divisor functions. We use the theory of modular forms to prove our results.
Aygin, Zafer Selcuk, Hong, Nankun
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CONVOLUTION SUMS ARISING FROM DIVISOR FUNCTIONS [PDF]
Journal of the Korean Mathematical Society, 2013 Let s(N) denote the sum of the sth powers of the positive divisors of a positive integer N and let e s(N) = P djN ( 1) d 1 d s with d, N, and s positive integers.
Aeran Kim, Daeyeoul Kim, Li Yan
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Molecular Oncology, EarlyView.Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff +11 more
wiley +1 more source
On the operations of sequences in rings and binomial type sequences
, 2018 Given a commutative ring with identity $R$, many different and interesting operations can be defined over the set $H_R$ of sequences of elements in $R$. These operations can also give $H_R$ the structure of a ring.
Barbero, Stefano +2 more
core +1 more source
Ramanujan’s Tau-Function and Convolution Sums
European Journal of Theoretical and Applied SciencesWe study certain type of convolution sums involving an arbitrary arithmetic function f, which it is applied to Ramanujan’s tau function when f coincides with the sum of divisors function.
R. Sivaraman +2 more
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Estimates for character sums with various convolutions [PDF]
Acta Arithmetica, 2017 We provide estimates for sums of the form \[\left|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C} (a+b+c)\right|\] and \[\left|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C}\sum_{d\in D} (a+b+cd)\right|\] when $A,B,C,D\subset \mathbb F_p$, the field with $p$ elements and $ $ is a non-trivial multiplicative character modulo $p$.
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