{"id":915,"date":"2018-10-16T17:09:51","date_gmt":"2018-10-17T00:09:51","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=915"},"modified":"2018-12-05T09:18:13","modified_gmt":"2018-12-05T17:18:13","slug":"antc-talk-stephan-garcia-pomona","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-stephan-garcia-pomona\/","title":{"rendered":"The Bateman\u2014Horn conjecture II:  applications (Stephan Garcia, Pomona)"},"content":{"rendered":"<p>We begin with a review of the Bateman\u2014Horn conjecture, which sheds light on the intimate relationship between polynomials and prime numbers.\u00a0 In this expository talk, we survey a host of applications of the conjecture.\u00a0 For example, Landau\u2019s conjecture, the twin prime conjecture, and the Green\u2014Tao theorem are all consequences of the Bateman\u2014Horn conjecture.\u00a0 Moreover, the conjecture also illuminates the mysterious patterns observed in the Ulam spiral.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We begin with a review of the Bateman\u2014Horn conjecture, which sheds light on the intimate relationship between polynomials and prime numbers.\u00a0 In this expository talk, we survey a host of [&hellip;]<\/p>\n","protected":false},"author":73,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[13],"class_list":["post-915","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-antc-seminar","cat_antc-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - 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