The generating function of partitions with repeated (resp. distinct) parts such that each odd part is less than twice the smallest part is shown to be the third order mock theta function ω(q) (resp. ν(−q)). Similar results for partitions with the corresponding restriction on each even part are also obtained, one of which involves the…
Research in Number Theory Template
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About the Research in Number Theory format
Research in Number Theory is a peer-reviewed journal published by Springer Nature, covering Algebraic Geometry and Number Theory, Analytic Number Theory Research, Advanced Algebra and Geometry.
| Publisher | Springer Nature |
|---|---|
| Reference style | Numbered (Springer) Numbered — [1], [2] in the text 1. Smith, A., Jones, B., Lee, C.: A representative article title. Research in Number Theory 12, 45–58 (2023)
Formats any DOI in Research in Number Theory style. No sign-up. |
| Publishes research in | Algebraic Geometry and Number Theory Analytic Number Theory Research Advanced Algebra and Geometry Advanced Mathematical Identities Advanced Combinatorial Mathematics |
| ISSN | 2363-9555 |
| Citation impact (2-yr) | 0.74 |
| h-index | 15 |
| i10-index | 43 |
| Total citations | 1,872 |
| Article processing charge | $3,280 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | link.springer.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Research in Number Theory per year
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Most-cited papers in Research in Number Theory
We give a classification of all possible 2-adic images of Galois representations associated to elliptic curves over $\mathbb {Q}$ . To this end, we compute the ‘arithmetically maximal’ tower of 2-power level modular curves, develop techniques to compute their equations, and classify the rational points on these curves.
In this series 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 begins the general study of what we call Type II sums which utilize a circle method framework and a convolution of shifted convolution…