A theta identity of Gauss connecting functions from additive and multiplicative number theory
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Publication:2097076
DOI10.1007/978-3-030-84304-5_9OpenAlexW3209478091MaRDI QIDQ2097076
Publication date: 11 November 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-84304-5_9
Combinatorial identities, bijective combinatorics (05A19) Theta series; Weil representation; theta correspondences (11F27) Elementary theory of partitions (11P81)
Cites Work
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- New convolutions for the number of divisors
- The Lambert series factorization theorem
- Combinatorial interpretations of a recent convolution for the number of divisors of a positive integer
- Arithmetic properties of partitions with odd parts distinct
- On an additive arithmetic function
- Special classes of \(q\)-bracket operators
- New connections between functions from additive and multiplicative number theory
- Truncated theta series and a problem of Guo and Zeng
- A new look on the generating function for the number of divisors
- Factorization theorems for generalized Lambert series and applications
- The partition function \(p(n)\) in terms of the classical Möbius function
- Arithmetic of partitions and the $q$-bracket operator
- New recurrence relations and matrix equations for arithmetic functions generated by Lambert series
- Combinatorial applications of Möbius inversion
- Generating Special Arithmetic Functions by Lambert Series Factorizations
- A Partition Identity Related to Stanley’s Theorem
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