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
Counting rational points with Stöhr-Voloch theory and Tate-Shafarevich results

dissertation Full Text OpenAlex

Diophantine Equation Involving Ratios of Padovan Numbers

article Full Text OpenAlex

Finite analogs of partition bias related to hook length two and a variant of Sylvester’s map

article Full Text OpenAlex

On p-adic spectral zeta functions

article Full Text OpenAlex

Generalizations of Rogers–Ramanujan type identities

article Full Text OpenAlex

On consecutive cube-free numbers of the form $$\lfloor n^c\rfloor$$, $$\lfloor n^c\rfloor$$+1

article Full Text OpenAlex

Quasimodular Forms Arising from Jacobi’S Theta Function and Special Symmetric Polynomials

preprint Full Text OpenAlex

The upper bound on sums of three squareful numbers

article Full Text OpenAlex

Some remarks on bivariate Mersenne-Lucas polynomials

article Full Text OpenAlex

Unified Theory of Epstein Zeta-Functions and Zeta-Functions Associated with Real-Analytic Automorphic Forms

book-chapter Full Text OpenAlex

近5年高被引文献
Séries divergentes et théories asymptotiques

article Full Text OpenAlex 115 FWCI3.872

Transcendental Number Theory

book Full Text OpenAlex 108 FWCI5.045

Fractional calculus, zeta functions and Shannon entropy

article Full Text OpenAlex 102 FWCI25.34

Annamalai's Binomial Identity and Theorem

article Full Text OpenAlex 83 FWCI45.867

Numerical evaluation of iterated integrals related to elliptic Feynman integrals

article Full Text OpenAlex 55 FWCI20.187

On the Analytic Continuation of Various Multiple Zeta-Functions

book-chapter Full Text OpenAlex 48 FWCI44.906

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

article Full Text OpenAlex 47 FWCI17.554

Inequalities for Generalized Grötzsch Ring Function

article Full Text OpenAlex 45 FWCI19.748

Generating conjectures on fundamental constants with the Ramanujan Machine

article Full Text OpenAlex 45 FWCI17.554

Some Identities on Truncated Polynomials Associated with Degenerate Bell Polynomials

article Full Text OpenAlex 44 FWCI18.87