Sign Up to like & get
recommendations!
1
Published in 2021 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2020.08.009
Abstract: Abstract Let d k ( n ) denote the k-th divisor function. In this paper, we study the asymptotic formula of the sum ∑ 1 ≤ n 1 , n 2 , … , n…
read more here.
Keywords:
sums higher;
divisor functions;
higher divisor;
Sign Up to like & get
recommendations!
0
Published in 2021 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2021.03.021
Abstract: Abstract We prove some distribution results for the k-fold divisor function in arithmetic progressions to moduli that exceed the square-root of length X of the sum, with appropriate constrains and averaging on the moduli, saving…
read more here.
Keywords:
generalized divisor;
divisor functions;
arithmetic progressions;
functions arithmetic ... See more keywords
Sign Up to like & get
recommendations!
0
Published in 2021 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972721000678
Abstract: Abstract Merca [‘Congruence identities involving sums of odd divisors function’, Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. 22(2) (2021), 119–125] posed three conjectures on congruences for specific convolutions of a sum…
read more here.
Keywords:
divisor functions;
proof merca;
odd divisor;
merca conjectures ... See more keywords
Sign Up to like & get
recommendations!
1
Published in 2018 at "Quarterly Journal of Mathematics"
DOI: 10.1093/qmath/hay008
Abstract: The first author is grateful to the Leverhulme Trust (RPG-2017-320) for the support through the research grant “Moments of L-functions in Function Fields and Random Matrix Theory”.
read more here.
Keywords:
maxima generalised;
pairwise maxima;
generalised divisor;
divisor functions ... See more keywords