{"cited_by_count":232942,"description":"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.","display_name":"Advanced Mathematical Identities","domain_id":"3","external_ids":{"openalex":"https://openalex.org/T11428","wikipedia":"https://en.wikipedia.org/wiki/Multiple_zeta_function"},"field_id":"26","id":"T11428","keywords":[{"display_name":"modular forms","id":"modular-forms","score":0.2714,"url":"https://openalex.org/keywords/modular-forms"},{"display_name":"q-series","id":"q-series","score":0.7737,"url":"https://openalex.org/keywords/q-series"},{"display_name":"multiple zeta values","id":"multiple-zeta-values","score":0.8325,"url":"https://openalex.org/keywords/multiple-zeta-values"},{"display_name":"integer partitions","id":"integer-partitions","score":0.2901,"url":"https://openalex.org/keywords/integer-partitions"},{"display_name":"hypergeometric series","id":"hypergeometric-series","score":0.4531,"url":"https://openalex.org/keywords/hypergeometric-series"},{"display_name":"Ramanujan","id":"srinivasa-ramanujan","score":0.5579,"url":"https://openalex.org/keywords/srinivasa-ramanujan"},{"display_name":"Bernoulli numbers","id":"bernoulli-numbers","score":0.3772,"url":"https://openalex.org/keywords/bernoulli-numbers"},{"display_name":"q-analogues","id":"q-analogues","score":0.2663,"url":"https://openalex.org/keywords/q-analogues"},{"display_name":"partition congruences","id":"partition-congruences","score":0.9124,"url":"https://openalex.org/keywords/partition-congruences"},{"display_name":"partition identities","id":"partition-identities","score":0.8436,"url":"https://openalex.org/keywords/partition-identities"},{"display_name":"modular functions","id":"modular-functions","score":0.2969,"url":"https://openalex.org/keywords/modular-functions"},{"display_name":"theta functions","id":"theta-functions","score":0.2242,"url":"https://openalex.org/keywords/theta-functions"},{"display_name":"infinite products","id":"infinite-products","score":0.3034,"url":"https://openalex.org/keywords/infinite-products"},{"display_name":"basic hypergeometric series","id":"basic-hypergeometric-series","score":0.6993,"url":"https://openalex.org/keywords/basic-hypergeometric-series"},{"display_name":"polylogarithms","id":"polylogarithms","score":0.5527,"url":"https://openalex.org/keywords/polylogarithms"},{"display_name":"mock theta functions","id":"mock-theta-functions","score":0.8657,"url":"https://openalex.org/keywords/mock-theta-functions"},{"display_name":"harmonic numbers","id":"harmonic-numbers","score":0.4358,"url":"https://openalex.org/keywords/harmonic-numbers"},{"display_name":"modular equations","id":"modular-equations","score":0.637,"url":"https://openalex.org/keywords/modular-equations"},{"display_name":"summation formulas","id":"summation-formulas","score":0.2202,"url":"https://openalex.org/keywords/summation-formulas"},{"display_name":"Rogers-Ramanujan identities","id":"rogers-ramanujan-identities","score":0.8355,"url":"https://openalex.org/keywords/rogers-ramanujan-identities"},{"display_name":"q-series identities","id":"q-series-identities","score":0.8961,"url":"https://openalex.org/keywords/q-series-identities"},{"display_name":"overpartitions","id":"overpartitions","score":0.9583,"url":"https://openalex.org/keywords/overpartitions"},{"display_name":"binomial sums","id":"binomial-sums","score":0.4933,"url":"https://openalex.org/keywords/binomial-sums"},{"display_name":"multiple polylogarithms","id":"multiple-polylogarithms","score":0.678,"url":"https://openalex.org/keywords/multiple-polylogarithms"},{"display_name":"supercongruences","id":"supercongruences","score":0.9732,"url":"https://openalex.org/keywords/supercongruences"}],"legacy_keywords":["Multiple Zeta Values","Modular Forms","q-Series","Supercongruences","Polylogarithms","Partition Function","Ramanujan-Type Formulas","Harmonic Maass Forms","Motivic Periods","Number Theory"],"openalex_id":"https://openalex.org/T11428","source_created_date":"2024-01-23T15:27:10","source_updated_date":"2026-10-17T03:02:00","subfield_id":"2602","url":"/topics/T11428","works_api_url":"https://api.openalex.org/works?filter=topics.id:T11428","works_count":33105,"label":"Advanced Mathematical Identities","provider":"openalex","revision":"a52b4b65cbd079aa","taxonomy_revision":"f050b5d4780b1289","title":"Advanced Mathematical Identities","kind":"topic-directory","aeo_cohort":"topic-directory","catalogue_revision":"f050b5d4780b1289","numeric_address":"36248976382650481","address_version":"morton4x16-v1","coordinates":[3,26,2602,11428],"answer_status":"Directory metadata; local answer requires separate source review","truth_status":"Subject descriptor, not a factual answer or a demonstrated knowledge gap","reviewed_answer":null}