In this paper we establish new estimates on sum-product sets and certain exponential sums in finite fields of prime order. Our first result is an extension of the sum-product theorem from [8] when sets of different sizes are involed. It is shown that if [Formula: see text] and p ε < |B|, |C| < |A|…
International Journal of Number Theory Template
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About the International Journal of Number Theory format
International Journal of Number Theory is a peer-reviewed journal published by World Scientific, covering Analytic Number Theory Research, Algebraic Geometry and Number Theory, Advanced Mathematical Identities.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. International Journal of Number Theory 12, 45–58 (2023).
Formats any DOI in the closest standard style — International Journal of Number Theory has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Analytic Number Theory Research Algebraic Geometry and Number Theory Advanced Mathematical Identities Advanced Algebra and Geometry Advanced Combinatorial Mathematics |
| ISSN | 1793-0421 |
| Citation impact (2-yr) | 0.44 |
| h-index | 35 |
| i10-index | 359 |
| Total citations | 12,319 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.worldscinet.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in International Journal of Number Theory per year
Citation impact of International Journal of Number Theory by publication year
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Most-cited papers in International Journal of Number Theory
In this paper, we prove an analog of Ramanujan's "Most Beautiful Identity". This analog is closely related to Ramanujan's beautiful results involving the cubic continued fraction.
In this paper, we will study the p-divisibility of multiple harmonic sums (MHS) which are partial sums of multiple zeta value series. In particular, we provide some generalizations of the classical Wolstenholme's Theorem to both homogeneous and non-homogeneous sums. We make a few conjectures at the end of the paper and provide some very convincing…
The quintuple product identity was first discovered about 90 years ago. It has been published in many different forms, and at least 29 proofs have been given. We shall give a comprehensive survey of the work on the quintuple product identity, and a detailed analysis of the many proofs.
In this paper, we study the divisibility of the function a(n) defined by [Formula: see text]. In particular, we prove certain "Ramanujan type congruences" for a(n) modulo powers of 3.