scholarly journals Bounds and conjectures for additive divisor sums

2019 ◽  
Vol 60 (1) ◽  
pp. 97-142 ◽  
Author(s):  
Nathan Ng ◽  
Mark Thom
Keyword(s):  
Divisor Sums ◽  
Additive Divisor

Weighted divisor sums and Bessel function series, IV

2012 ◽  
Vol 29 (1-3) ◽  
pp. 79-102 ◽  
Author(s):  
Bruce C. Berndt ◽  
Sun Kim ◽  
Alexandru Zaharescu
Keyword(s):  
Bessel Function ◽  
Function Series ◽  
Divisor Sums

Divisor Sums of Generalised Exponential Polynomials

1996 ◽  
Vol 39 (1) ◽  
pp. 35-46 ◽  
Author(s):  
G. R. Everest ◽  
I. E. Shparlinski
Keyword(s):  
Prime Ideal ◽  
Algebraic Integer ◽  
Linear Recurrence ◽  
Exponential Polynomial ◽  
Exponential Polynomials ◽  
Recurrence Sequence ◽  
Special Cases ◽  
Divisor Sums ◽  
Recurrence Sequences

AbstractA study is made of sums of reciprocal norms of integral and prime ideal divisors of algebraic integer values of a generalised exponential polynomial. This includes the important special cases of linear recurrence sequences and general sums of S-units. In the case of an integral binary recurrence sequence, similar (but stronger) results were obtained by P. Erdős, P. Kiss and C. Pomerance.

scholarly journals On some additive divisor problems, II

1976 ◽  
Vol 52 (6) ◽  
pp. 279-281 ◽  
Author(s):  
Yoichi Motohashi
Keyword(s):  
Divisor Problems ◽  
Additive Divisor

scholarly journals Moments of zeta and correlations of divisor‐sums: V

2018 ◽  
Vol 118 (4) ◽  
pp. 729-752 ◽  
Author(s):  
Brian Conrey ◽  
Jonathan P. Keating
Keyword(s):  
Divisor Sums
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