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International Journal of Number Theory最新文献

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A freiman-type theorem for restricted sumsets 限制集合的freiman型定理
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2023-06-09 DOI: 10.1142/s1793042123501130
David Daza, M. Huicochea, C. Martos, C. Trujillo
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引用次数: 0
On the analytic strong multiplicity one for SL(2) 关于SL(2)的解析强多重性1
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2023-06-09 DOI: 10.1142/s179304212350118x
Bin Guan
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引用次数: 0
Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height 固定重量、深度和高度的有限/对称多个zeta值的对偶性
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2023-06-09 DOI: 10.1142/s1793042123501129
Kosuke Sakurada
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引用次数: 0
A global invariant and Hasse invariants at finite or real primes 有限素数或实素数处的全局不变量和哈斯不变量
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2023-06-09 DOI: 10.1142/s1793042123501166
Maozhou Huang
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引用次数: 0
Large algebraic integers 大代数整数
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2023-06-09 DOI: 10.1142/s1793042123501075
Denis Simon, L. Terracini
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引用次数: 0
ON ∞-adic and υ-adic multiple zeta functions in positive characteristic 正特性的ON∞进和<s:1>进多重zeta函数
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2023-06-09 DOI: 10.1142/s1793042123501117
Daichi Matsuzuki
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引用次数: 0
Diversity in rationally parameterized number fields 合理参数化数域的多样性
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2023-06-09 DOI: 10.1142/s1793042123501154
Benjamin Klahn
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引用次数: 0
Modulo d extension of parity results in Rogers–Ramanujan–Gordon type overpartition identities Rogers-Ramanujan-Gordon型过划分恒等式的模d扩展
3区 数学 Q3 MATHEMATICS Pub Date : 2023-05-31 DOI: 10.1142/s1793042123500884
Kagan Kursungoz, Mohammad Zadehdabbagh
Sang, Shi and Yee, in 2020, found overpartition analogs of Andrews’ results involving parity in Rogers–Ramanujan–Gordon identities. Their result partially answered an open question of Andrews’. The open question was to involve parity in overpartition identities. We extend Sang, Shi and Yee’s work to arbitrary moduli, and also provide a missing case in their identities. We also unify proofs of Rogers–Ramanujan–Gordon identities for overpartitions due to Lovejoy and Chen et al.; Sang, Shi and Yee’s results; and ours. Although verification type proofs are given for brevity, a construction of series as solutions of functional equations between partition generating functions is sketched.
Sang, Shi和Yee在2020年发现了安德鲁斯结果的过度分割类似物,涉及罗杰斯-拉马努詹-戈登恒等式的宇称性。他们的结果部分地回答了安德鲁斯的一个开放性问题。待解决的问题是涉及到过分区恒等式的奇偶性。我们将Sang, Shi和Yee的工作扩展到任意模,并提供了它们的恒等式中缺失的情况。我们还统一了由Lovejoy和Chen等人引起的过分区的Rogers-Ramanujan-Gordon恒等式的证明;Sang, Shi和Yee的结果;和我们的。虽然为简洁起见,给出了验证型证明,但还是粗略地构造了作为分划生成函数间泛函方程解的级数。
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引用次数: 0
Analogue of ramanujan's function k(τ) for the cubic continued fraction 三次连分数的拉马努金函数k(τ)的模拟
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2023-04-07 DOI: 10.1142/s1793042123501026
Y. Park
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引用次数: 1
THE pro-p-iwahori invariants of the universal quotient representation for GL2(F) GL2(F)的泛商表示的亲-对-不变量
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2023-04-07 DOI: 10.1142/s1793042123500896
Arindam Jana
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引用次数: 1
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International Journal of Number Theory
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