SU\G(𝔸)/K·U

Prime number decomposition of the Fourier transform of a function of the greatest common divisor

L. J. Holleboom

Type: Preprint

Publication Date: 2014-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.1410.2054

Locations

  • arXiv (Cornell University) - View
  • DataCite API - View

Similar Works

Action Title Year Authors
+ The Fourier transform of functions of the greatest common divisor. 2008 Wolfgang Schramm
+ PDF Chat ON THE FOURIER TRANSFORM OF THE GREATEST COMMON DIVISOR 2014 Peter H. van der Kamp
+ On the Fourier transform of the greatest common divisor 2012 Peter H. van der Kamp
+ On the Fourier transform of the greatest common divisor 2012 van der Kamp
Hillmann Peter
+ Fundamental Properties of Fourier Series 1954 Geogre U. Hubbard
+ The Arithmetic Fourier Transform 2020 Joel L. Schiff
+ The Arithmetic Fourier Transform 2020 Joel L. Schiff
+ On the Fourier transform of the greatest common divisor 2012 Peter H. van der Kamp
+ The prime number theorem via Fourier transformation 2022 Quanhai Chen
+ Representation of the Fourier Transform by Fourier Series 2006 Artyom M. Grigoryan
+ An order theoretical characterization of the Fourier transform 1985 Wolfgang Arendt
+ The Discrete Fourier Transform 2018 D. Sundararajan
+ Introduction to the theory of Fourier series 1965 信一 泉
+ Generalized p-Adic Fourier Transform and Estimates of Integral Modulus of Continuity in Terms of This Transform 2018 С. С. Волосивец
M. A. Kuznetsova
+ The Fourier transform of exponential polynomials 2022 László Székelyhidi
+ The fourier series and fourier transform theorems 1977 I. I. Hirschman
Daniel E. Hughes
+ Generalization of the multiplicative Fourier transform and its properties 2011 С. С. Волосивец
+ Fourier analysis on the roots of unity 1988 T. W. Körner
+ Fourier analysis on the roots of unity 2022 T. W. Körner
Terence Tao
+ Introduction to the theory of Fouriers series 1908 Hans Hahn

Works That Cite This (2)

Action Title Year Authors
+ PDF Chat On the average number of divisors of the sum of digits of squares 2018 Teerapat Srichan
+ Arithmetic Functions, Convolution and Finite Fourier Series 2021 Vichian Laohakosol

Works Cited by This (6)

Action Title Year Authors
+ PDF Chat Introduction to Analytic Number Theory 1976 Tom M. Apostol
+ The gcd-sum function 2001 Kevin Broughan
+ On an Arithmetic Function 1926 A. Oppenheim
+ On the Fourier transform of the greatest common divisor 2012 Peter H. van der Kamp
+ The Fourier transform of functions of the greatest common divisor. 2008 Wolfgang Schramm
+ An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford) 1946 T. A. A. B.