Moments of zeta and correlations of divisor-sums: V

Moments of zeta and correlations of divisor-sums: V

In this series of papers we examine the calculation of the 2kth moment and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor correlations. The present paper completes the general study of what we call Type II sums which utilize a circle me...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí:	Conrey, B, Keating, J
Formáid:	Journal article
Foilsithe / Cruthaithe:	London Mathematical Society 2018

Míreanna comhchosúla

Averages of ratios of the Riemann zeta-function and correlations of divisor sums
de réir: Conrey, B, et al.
Foilsithe / Cruthaithe: (2017)

The sixth moment of the Riemann zeta function and ternary additive divisor sums
de réir: Nathan Ng
Foilsithe / Cruthaithe: (2021-07-01)

Moment estimates for the exponential sum with higher divisor functions
de réir: Pandey, Mayank
Foilsithe / Cruthaithe: (2022-05-01)

Sums of divisor functions in Fq[t] and matrix integrals
de réir: Keating, J, et al.
Foilsithe / Cruthaithe: (2017)

On the riemann zeta-function and the divisor problem
de réir: Ivić Aleksandar
Foilsithe / Cruthaithe: (2004-08-01)

On a Sum Involving the Sum-of-Divisors Function
de réir: Feng Zhao, et al.
Foilsithe / Cruthaithe: (2021-01-01)

On the sum of positive divisors functions
de réir: Erban, R, et al.
Foilsithe / Cruthaithe: (2021)

On the divisor sums in arithmetical progressions
de réir: Eugenijus Stankus
Foilsithe / Cruthaithe: (1998-12-01)

Equal sums in random sets and the concentration of divisors
de réir: Ford, K, et al.
Foilsithe / Cruthaithe: (2023)

On the average value of divisor sums in arithmetic progressions
de réir: Heath-Brown, D, et al.
Foilsithe / Cruthaithe: (2005)

Sum of the triple divisor function of mixed powers
de réir: Li Zhou, et al.
Foilsithe / Cruthaithe: (2022-05-01)

A survey of the alternating sum-of-divisors function
de réir: Tóth László
Foilsithe / Cruthaithe: (2013-02-01)

DISTRIBUTION OF VALUES OF THE SUM OF UNITARY DIVISORS IN RESIDUE CLASSES
de réir: B. M. Shirokov, et al.
Foilsithe / Cruthaithe: (2016-05-01)

Average Size of Ramanujan Sum Associated with Divisor Function
de réir: Xin Li, et al.
Foilsithe / Cruthaithe: (2025-02-01)

The multinomial convolution sum of a generalized divisor function
de réir: Park Ho
Foilsithe / Cruthaithe: (2022-06-01)

Variance of sums in arithmetic progressions of divisor functions associated with higher degree 𝐿-Functions in 𝔽q[𝑡]
de réir: Roditty-Gershon, E, et al.
Foilsithe / Cruthaithe: (2019)

Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values
de réir: Yuan He, et al.
Foilsithe / Cruthaithe: (2021-01-01)

Moments of the Riemannn zeta function and log-correlated random variables
de réir: Curran, MJ
Foilsithe / Cruthaithe: (2025)

Bernoulli Identities and Combinatoric Convolution Sums with Odd Divisor Functions
de réir: Daeyeoul Kim, et al.
Foilsithe / Cruthaithe: (2014-01-01)

Exponential sums involving the divisor function over arithmetic progressions
de réir: Rui Zhang, et al.
Foilsithe / Cruthaithe: (2023-03-01)

Iterating the Sum of Möbius Divisor Function and Euler Totient Function
de réir: Daeyeoul Kim, et al.
Foilsithe / Cruthaithe: (2019-11-01)

On certain upper bounds for the sum of divisors function σ(n)
de réir: Sándor József, et al.
Foilsithe / Cruthaithe: (2015-12-01)

The distribution and moments of the error term in the Dirichlet divisor problem
de réir: Heath-Brown, D
Foilsithe / Cruthaithe: (1992)

Pair correlation and twin primes revisited
de réir: Conrey, B, et al.
Foilsithe / Cruthaithe: (2016)

On the fourth moment of the periodic zeta-function
de réir: Darius Šiaučiūnas, et al.
Foilsithe / Cruthaithe: (2004-12-01)

On the distribution of gaps between zeros of the zeta-function
de réir: Conrey, J, et al.
Foilsithe / Cruthaithe: (1985)

Euler Polynomials and Combinatoric Convolution Sums of Divisor Functions with Even Indices
de réir: Daeyeoul Kim, et al.
Foilsithe / Cruthaithe: (2014-01-01)

Sums of the higher divisor function of diagonal homogeneous forms in short intervals
de réir: Huimin Wang, et al.
Foilsithe / Cruthaithe: (2023-07-01)

A note on representations of the finite Heisenberggroup and sums of greatest common divisors
de réir: Johannes Grassberger, et al.
Foilsithe / Cruthaithe: (2001-12-01)

An approximation of the Hurwitz zeta function by a finite sum
de réir: Ramūnas Garunkštis
Foilsithe / Cruthaithe: (2003-12-01)

Multiple Dedekind Type Sums and Their Related Zeta Functions
de réir: Abdelmejid Bayad, et al.
Foilsithe / Cruthaithe: (2021-07-01)

Fractional moments of the Riemann Zeta-function, II
de réir: Heath-Brown, D
Foilsithe / Cruthaithe: (1993)

Odd logarithmic moments of the Riemann zeta-function
de réir: Antanas Laurinčikas
Foilsithe / Cruthaithe: (1999-12-01)

Binomial convolution sum of divisor functions associated with Dirichlet character modulo 8
de réir: Jin Seokho, et al.
Foilsithe / Cruthaithe: (2024-11-01)

On some geometric properties of sequence spaces of generalized arithmetic divisor sum function
de réir: Mohammad Mursaleen, et al.
Foilsithe / Cruthaithe: (2024-09-01)

A note on representations of the finite Heisenberg group and sums of greatest common divisors
de réir: Johannes Grassberger, et al.
Foilsithe / Cruthaithe: (2001-01-01)

Arithmetic convolution sums derived from eta quotients related to divisors of 6
de réir: Ikikardes Nazli Yildiz, et al.
Foilsithe / Cruthaithe: (2022-04-01)

A logarithmic estimate for harmonic sums and the digamma function, with an application to the Dirichlet divisor problem
de réir: G. J. O. Jameson
Foilsithe / Cruthaithe: (2019-05-01)

Rational Divisors in Rational Divisor Classes.
de réir: Bruin, N, et al.
Foilsithe / Cruthaithe: (2004)

Rational divisors in rational divisor classes
de réir: Bruin, N, et al.
Foilsithe / Cruthaithe: (2004)