强有力 发表于 2025-3-25 07:22:49
Continued Fractions and Dedekind Sums for Function Fields,continued fractions, Hickerson answered these questions affirmatively. In function fields, there exists a Dedekind sum .(., .) (see Sect. 4) similar to .(., .). Using continued fractions, we answer the analogous problems for .(., .).抵押贷款 发表于 2025-3-25 10:40:09
http://reply.papertrans.cn/67/6689/668877/668877_22.png中止 发表于 2025-3-25 15:21:57
http://reply.papertrans.cn/67/6689/668877/668877_23.pngdefendant 发表于 2025-3-25 16:11:53
http://reply.papertrans.cn/67/6689/668877/668877_24.png胶状 发表于 2025-3-26 00:00:00
Some Notes on Weighted Sum Formulae for Double Zeta Values, to new evaluations of sums involving the harmonic numbers, the alternating double zeta values, and the Mordell–Tornheim double sum. We discuss a heuristic for finding or dismissing the existence of similar simple sums. We also produce some new sums from recursions involving the Riemann zeta and the Dirichlet beta functions.讥讽 发表于 2025-3-26 04:04:06
http://reply.papertrans.cn/67/6689/668877/668877_26.pngAccrue 发表于 2025-3-26 06:14:39
http://reply.papertrans.cn/67/6689/668877/668877_27.pngLUMEN 发表于 2025-3-26 08:57:35
,Burgess’s Bounds for Character Sums,Let . be a character sum to modulus .. Then the standard Burgess bound takes the form ., where .. We show that . for any positive integers .. ≤ . spaced at least . apart, so that even reducing to a single term of the sum recovers the Burgess estimate.红润 发表于 2025-3-26 13:35:05
http://reply.papertrans.cn/67/6689/668877/668877_29.pngOverthrow 发表于 2025-3-26 18:44:21
Families of Cubic Thue Equations with Effective Bounds for the Solutions,To each nontotally real cubic extension . of . and to each generator . of the cubic field ., we attach a family of cubic Thue equations, indexed by the units of ., and we prove that this family of cubic Thue equations has only a finite number of integer solutions, by giving an effective upper bound for these solutions.