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Farzad Aryan

5 papers hereh-index 325 citations11 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author5

Across the 5 of 5 papers where every author was matched, so the position is known.

fields
  • math.NT5

identity via Semantic Scholar / OpenAlex

activity
20152020
most citedOn binary and quadratic divisor problems

6 citations · 7 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2020★ 1 cited

Higher moments of distribution of zeta zeros

Farzad Aryan

We develop a method for mean-value estimation of long Dirichlet polynomials. For an application, we use our method to study properties of the logarithmic derivative of the Riemann…

math.NT2019

A new approach to gaps between zeta zeros

Farzad Aryan

We study the value-distribution of Dirichlet polynomials on the critical line ℜ(s)=21​. As a consequence, we prove a corollary on small consecutive gaps between zeros…

math.NT2019

On an extension of the Landau-Gonek formula

Farzad Aryan

We prove an extension of the Landau-Gonek formula. As an application we recover unconditionally some of the consequences of a pair correlation estimate that previously was known un…

math.NT2015★ 6 cited

On binary and quadratic divisor problems

Farzad Aryan

We study the shifted convolution sum of the divisor function and some other arithmetic functions.

math.NT2015

Distribution of squares modulo a composite number

Farzad Aryan

In this paper we study the distribution of squares modulo a square-free number q. We also look at inverse questions for the large sieve in the distribution aspect and we make imp…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.