专题：Advanced Mathematical Identities

This cluster of papers focuses on the arithmetic properties, modular forms, q-series, and supercongruences related to multiple zeta values. It explores Ramanujan-type formulas, harmonic maass forms, and motivic periods in the context of number theory.
最新文献
Series formulas for the untruncated Gaussian product moments

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Dissection of the quintuple product, with applications

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Probabilistic Bernoulli and Euler Polynomials

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A Different Perspective on Undeniable Roles of Some Well-defined Special Functions in Various Multidisciplinary Applications

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Matroidal mixed Eulerian numbers

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Bias in cubic Gauss sums: Patterson's conjecture

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On the Diophantine equation 2  + p = m2 with a Fermat prime p

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On some conjectures of Aygin and Chan on inequalities of linear combinations of cranks of partitions

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On the Multiplicative Property of Indicial Polynomials

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Rogers-Ramanujan type identities and Chebyshev polynomials

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近5年高被引文献
Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series

article Full Text OpenAlex 117 FWCI0

Fractional calculus, zeta functions and Shannon entropy

article Full Text OpenAlex 112 FWCI27.72276416

Séries divergentes et théories asymptotiques

article Full Text OpenAlex 110 FWCI4.65774982

Transcendental Number Theory

book Full Text OpenAlex 99 FWCI2.17718447

Annamalai's Binomial Identity and Theorem

article Full Text OpenAlex 84 FWCI96.93514274

On the Analytic Continuation of Various Multiple Zeta-Functions

book-chapter Full Text OpenAlex 63 FWCI42.37500011

Depth-graded motivic multiple zeta values

preprint Full Text OpenAlex 52 FWCI1.08677799

Numerical evaluation of iterated integrals related to elliptic Feynman integrals

article Full Text OpenAlex 52 FWCI23.90911576

Some q-supercongruences modulo the fourth power of a cyclotomic polynomial

article Full Text OpenAlex 51 FWCI22.27894877

Generating conjectures on fundamental constants with the Ramanujan Machine

article Full Text OpenAlex 48 FWCI22.27894877