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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों:	Conrey, B, Keating, J
स्वरूप:	Journal article
प्रकाशित:	London Mathematical Society 2018

समान संसाधन

Averages of ratios of the Riemann zeta-function and correlations of divisor sums
द्वारा: Conrey, B, और अन्य
प्रकाशित: (2017)

The sixth moment of the Riemann zeta function and ternary additive divisor sums
द्वारा: Nathan Ng
प्रकाशित: (2021-07-01)

Moment estimates for the exponential sum with higher divisor functions
द्वारा: Pandey, Mayank
प्रकाशित: (2022-05-01)

Sums of divisor functions in Fq[t] and matrix integrals
द्वारा: Keating, J, और अन्य
प्रकाशित: (2017)

On the riemann zeta-function and the divisor problem
द्वारा: Ivić Aleksandar
प्रकाशित: (2004-08-01)

On a Sum Involving the Sum-of-Divisors Function
द्वारा: Feng Zhao, और अन्य
प्रकाशित: (2021-01-01)

On the sum of positive divisors functions
द्वारा: Erban, R, और अन्य
प्रकाशित: (2021)

On the divisor sums in arithmetical progressions
द्वारा: Eugenijus Stankus
प्रकाशित: (1998-12-01)

Equal sums in random sets and the concentration of divisors
द्वारा: Ford, K, और अन्य
प्रकाशित: (2023)

On the average value of divisor sums in arithmetic progressions
द्वारा: Heath-Brown, D, और अन्य
प्रकाशित: (2005)

Sum of the triple divisor function of mixed powers
द्वारा: Li Zhou, और अन्य
प्रकाशित: (2022-05-01)

A survey of the alternating sum-of-divisors function
द्वारा: Tóth László
प्रकाशित: (2013-02-01)

DISTRIBUTION OF VALUES OF THE SUM OF UNITARY DIVISORS IN RESIDUE CLASSES
द्वारा: B. M. Shirokov, और अन्य
प्रकाशित: (2016-05-01)

Average Size of Ramanujan Sum Associated with Divisor Function
द्वारा: Xin Li, और अन्य
प्रकाशित: (2025-02-01)

The multinomial convolution sum of a generalized divisor function
द्वारा: Park Ho
प्रकाशित: (2022-06-01)

Variance of sums in arithmetic progressions of divisor functions associated with higher degree 𝐿-Functions in 𝔽q[𝑡]
द्वारा: Roditty-Gershon, E, और अन्य
प्रकाशित: (2019)

Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values
द्वारा: Yuan He, और अन्य
प्रकाशित: (2021-01-01)

Moments of the Riemannn zeta function and log-correlated random variables
द्वारा: Curran, MJ
प्रकाशित: (2025)

Bernoulli Identities and Combinatoric Convolution Sums with Odd Divisor Functions
द्वारा: Daeyeoul Kim, और अन्य
प्रकाशित: (2014-01-01)

Exponential sums involving the divisor function over arithmetic progressions
द्वारा: Rui Zhang, और अन्य
प्रकाशित: (2023-03-01)

Iterating the Sum of Möbius Divisor Function and Euler Totient Function
द्वारा: Daeyeoul Kim, और अन्य
प्रकाशित: (2019-11-01)

On certain upper bounds for the sum of divisors function σ(n)
द्वारा: Sándor József, और अन्य
प्रकाशित: (2015-12-01)

The distribution and moments of the error term in the Dirichlet divisor problem
द्वारा: Heath-Brown, D
प्रकाशित: (1992)

Pair correlation and twin primes revisited
द्वारा: Conrey, B, और अन्य
प्रकाशित: (2016)

On the fourth moment of the periodic zeta-function
द्वारा: Darius Šiaučiūnas, और अन्य
प्रकाशित: (2004-12-01)

On the distribution of gaps between zeros of the zeta-function
द्वारा: Conrey, J, और अन्य
प्रकाशित: (1985)

Euler Polynomials and Combinatoric Convolution Sums of Divisor Functions with Even Indices
द्वारा: Daeyeoul Kim, और अन्य
प्रकाशित: (2014-01-01)

Sums of the higher divisor function of diagonal homogeneous forms in short intervals
द्वारा: Huimin Wang, और अन्य
प्रकाशित: (2023-07-01)

A note on representations of the finite Heisenberggroup and sums of greatest common divisors
द्वारा: Johannes Grassberger, और अन्य
प्रकाशित: (2001-12-01)

An approximation of the Hurwitz zeta function by a finite sum
द्वारा: Ramūnas Garunkštis
प्रकाशित: (2003-12-01)

Multiple Dedekind Type Sums and Their Related Zeta Functions
द्वारा: Abdelmejid Bayad, और अन्य
प्रकाशित: (2021-07-01)

Fractional moments of the Riemann Zeta-function, II
द्वारा: Heath-Brown, D
प्रकाशित: (1993)

Odd logarithmic moments of the Riemann zeta-function
द्वारा: Antanas Laurinčikas
प्रकाशित: (1999-12-01)

Binomial convolution sum of divisor functions associated with Dirichlet character modulo 8
द्वारा: Jin Seokho, और अन्य
प्रकाशित: (2024-11-01)

On some geometric properties of sequence spaces of generalized arithmetic divisor sum function
द्वारा: Mohammad Mursaleen, और अन्य
प्रकाशित: (2024-09-01)

A note on representations of the finite Heisenberg group and sums of greatest common divisors
द्वारा: Johannes Grassberger, और अन्य
प्रकाशित: (2001-01-01)

Arithmetic convolution sums derived from eta quotients related to divisors of 6
द्वारा: Ikikardes Nazli Yildiz, और अन्य
प्रकाशित: (2022-04-01)

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

Rational Divisors in Rational Divisor Classes.
द्वारा: Bruin, N, और अन्य
प्रकाशित: (2004)

Rational divisors in rational divisor classes
द्वारा: Bruin, N, और अन्य
प्रकाशित: (2004)